- PorousFlowDictatorThe UserObject that holds the list of PorousFlow variable names.
C++ Type:UserObjectName
Controllable:No
Description:The UserObject that holds the list of PorousFlow variable names.
- variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this residual object operates on
PorousFlowMassVolumetricExpansion
Component_mass*rate_of_solid_volumetric_expansion. This Kernel lumps the component mass to the nodes.
This Kernel implements the weak form of ϕβ∑Sβρβχβκ∇⋅vs where all parameters are defined in the nomenclature.
commentnote
A mass-lumped version is implemented.
See mass lumping for details.
Because it contains volumetric strain, this Kernel always sets use_displaced_mesh = false and the parameter cannot be altered by the user. Further information can be found here
The multiplication by ρβ is optional and is controlled by the multiply_by_density flag. It is sometimes advantageous to use this flag because the problem becomes more linear. However, this sometimes changes the nature of the physical problem modelled, and care must be taken when using other PorousFlow objects (that intrinsically have multiply_by_density = true, such as PorousFlowFluidMass) so new users are encouraged to use the default multiply_by_density = true flag until they gain familiarity with PorousFlow.
Input Parameters
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- displacementsThe displacements
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The displacements
- fluid_component0The index corresponding to the component for this kernel
Default:0
C++ Type:unsigned int
Controllable:No
Description:The index corresponding to the component for this kernel
- matrix_onlyFalseWhether this object is only doing assembly to matrices (no vectors)
Default:False
C++ Type:bool
Controllable:No
Description:Whether this object is only doing assembly to matrices (no vectors)
- multiply_by_densityTrueIf true, then this Kernel represents component_mass*rate_of_solid_volumetric_expansion. If flase, then this Kernel represents component_volume*rate_of_solid_volumetric_expansion (care must then be taken when using other PorousFlow objects, such as the PorousFlowFluidMass postprocessor).
Default:True
C++ Type:bool
Controllable:No
Description:If true, then this Kernel represents component_mass*rate_of_solid_volumetric_expansion. If flase, then this Kernel represents component_volume*rate_of_solid_volumetric_expansion (care must then be taken when using other PorousFlow objects, such as the PorousFlowFluidMass postprocessor).
- strain_at_nearest_qpFalseWhen calculating nodal porosity that depends on strain, use the strain at the nearest quadpoint. This adds a small extra computational burden, and is not necessary for simulations involving only linear lagrange elements. If you set this to true, you will also want to set the same parameter to true for related Kernels and Materials
Default:False
C++ Type:bool
Controllable:No
Description:When calculating nodal porosity that depends on strain, use the strain at the nearest quadpoint. This adds a small extra computational burden, and is not necessary for simulations involving only linear lagrange elements. If you set this to true, you will also want to set the same parameter to true for related Kernels and Materials
Optional Parameters
- absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution
C++ Type:std::vector<TagName>
Controllable:No
Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution
- extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the matrices this Kernel should fill
- extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the vectors this Kernel should fill
- matrix_tagssystem timeThe tag for the matrices this Kernel should fill
Default:system time
C++ Type:MultiMooseEnum
Options:nontime, system, time
Controllable:No
Description:The tag for the matrices this Kernel should fill
- vector_tagstimeThe tag for the vectors this Kernel should fill
Default:time
C++ Type:MultiMooseEnum
Options:nontime, time
Controllable:No
Description:The tag for the vectors this Kernel should fill
Contribution To Tagged Field Data Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- diag_save_inThe name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- save_inThe name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
Advanced Parameters
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
- use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Material Property Retrieval Parameters
Input Files
- (modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined_constM.i)
- (modules/porous_flow/test/tests/mass_conservation/mass04.i)
- (modules/porous_flow/test/tests/jacobian/mass_vol_exp02.i)
- (modules/porous_flow/examples/tutorial/11.i)
- (modules/porous_flow/test/tests/mass_conservation/mass11.i)
- (modules/porous_flow/test/tests/poro_elasticity/terzaghi_constM.i)
- (modules/porous_flow/test/tests/poro_elasticity/pp_generation.i)
- (modules/porous_flow/test/tests/mass_conservation/mass13.i)
- (modules/porous_flow/test/tests/jacobian/mass_vol_exp01.i)
- (modules/porous_flow/test/tests/jacobian/desorped_mass_vol_exp01.i)
- (modules/porous_flow/examples/coal_mining/fine_with_fluid.i)
- (modules/porous_flow/test/tests/energy_conservation/heat05.i)
- (modules/porous_flow/test/tests/poro_elasticity/mandel_constM.i)
- (modules/porous_flow/test/tests/energy_conservation/heat03.i)
- (modules/porous_flow/examples/coal_mining/coarse_with_fluid.i)
- (modules/porous_flow/test/tests/poro_elasticity/undrained_oedometer.i)
- (modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined.i)
- (modules/porous_flow/test/tests/jacobian/mass_vol_exp03.i)
- (modules/porous_flow/test/tests/poro_elasticity/terzaghi.i)
- (modules/porous_flow/test/tests/poro_elasticity/mandel.i)
- (modules/porous_flow/test/tests/mass_conservation/mass12.i)
- (modules/porous_flow/test/tests/energy_conservation/heat04.i)
- (modules/porous_flow/examples/tutorial/11_2D.i)
(modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined_constM.i)
# A sample is constrained on all sides, except its top
# and its boundaries are
# also impermeable. Fluid is pumped into the sample via a
# volumetric source (ie kg/second per cubic meter), and the
# rise in the top surface, porepressure, and stress are observed.
#
# In the standard poromechanics scenario, the Biot Modulus is held
# fixed and the source, s, has units m^3/second/m^3. Then the expected result
# is
# strain_zz = disp_z = BiotCoefficient*BiotModulus*s*t/((bulk + 4*shear/3) + BiotCoefficient^2*BiotModulus)
# porepressure = BiotModulus*(s*t - BiotCoefficient*strain_zz)
# stress_xx = (bulk - 2*shear/3)*strain_zz (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*strain_zz (remember this is effective stress)
#
# In porous_flow, however, the source has units kg/second/m^3. The ratios remain
# fixed:
# stress_xx/strain_zz = (bulk - 2*shear/3) = 1 (for the parameters used here)
# stress_zz/strain_zz = (bulk + 4*shear/3) = 4 (for the parameters used here)
# porepressure/strain_zz = 13.3333333 (for the parameters used here)
#
# Expect
# disp_z = 0.3*10*s*t/((2 + 4*1.5/3) + 0.3^2*10) = 0.612245*s*t
# porepressure = 10*(s*t - 0.3*0.612245*s*t) = 8.163265*s*t
# stress_xx = (2 - 2*1.5/3)*0.612245*s*t = 0.612245*s*t
# stress_zz = (2 + 4*shear/3)*0.612245*s*t = 2.44898*s*t
# The relationship between the constant poroelastic source
# s (m^3/second/m^3) and the PorousFlow source, S (kg/second/m^3) is
# S = fluid_density * s = s * exp(porepressure/fluid_bulk)
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.8
alpha = 1e-5
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[source]
type = BodyForce
function = '0.1*exp(8.163265306*0.1*t/3.3333333333)'
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 3.3333333333
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityHMBiotModulus
porosity_zero = 0.1
biot_coefficient = 0.3
solid_bulk = 2
constant_fluid_bulk_modulus = 3.3333333333
constant_biot_modulus = 10.0
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1 0 0 0 1 0 0 0 1' # unimportant
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[]
[Functions]
[stress_xx_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_xx zdisp'
[]
[stress_zz_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_zz zdisp'
[]
[p_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'p0 zdisp'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = pp_generation_unconfined_constM
[csv]
type = CSV
[]
[](modules/porous_flow/test/tests/mass_conservation/mass04.i)
# The sample is a single unit element, with roller BCs on the sides
# and bottom. A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow.
# Fluid mass conservation is checked.
#
# Under these conditions
# porepressure = porepressure(t=0) - (Fluid bulk modulus)*log(1 - 0.01*t)
# stress_xx = (bulk - 2*shear/3)*disp_z/L (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*disp_z/L (remember this is effective stress)
# where L is the height of the sample (L=1 in this test)
#
# Parameters:
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 0.5
# initial porepressure = 0.1
#
# Desired output:
# zdisp = -0.01*t
# p0 = 0.1 - 0.5*log(1-0.01*t)
# stress_xx = stress_yy = -0.01*t
# stress_zz = -0.04*t
#
# Regarding the "log" - it comes from preserving fluid mass
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
initial_condition = 0.1
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_z
function = -0.01*t
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst
porosity = 0.1
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '0.5 0 0 0 0.5 0 0 0 0.5'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
use_displaced_mesh = false
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 2
[]
[Outputs]
execute_on = 'initial timestep_end'
file_base = mass04
[csv]
type = CSV
[]
[](modules/porous_flow/test/tests/jacobian/mass_vol_exp02.i)
# Tests the PorousFlowMassVolumetricExpansion kernel
# Fluid with constant bulk modulus, van-Genuchten capillary, HM porosity
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
block = 0
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[ICs]
[disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[]
[disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[]
[disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[]
[p]
type = RandomIC
min = -1
max = 1
variable = porepressure
[]
[]
[BCs]
# necessary otherwise volumetric strain rate will be zero
[disp_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[disp_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left right'
[]
[disp_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left right'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y disp_z'
component = 2
[]
[poro]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = porepressure
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1E-5
[]
[Outputs]
execute_on = 'timestep_end'
file_base = jacobian2
exodus = false
[](modules/porous_flow/examples/tutorial/11.i)
# Two-phase borehole injection problem
[Mesh]
[annular]
type = AnnularMeshGenerator
nr = 10
rmin = 1.0
rmax = 10
growth_r = 1.4
nt = 4
dmin = 0
dmax = 90
[]
[make3D]
input = annular
type = MeshExtruderGenerator
extrusion_vector = '0 0 12'
num_layers = 3
bottom_sideset = 'bottom'
top_sideset = 'top'
[]
[shift_down]
type = TransformGenerator
transform = TRANSLATE
vector_value = '0 0 -6'
input = make3D
[]
[aquifer]
type = SubdomainBoundingBoxGenerator
block_id = 1
bottom_left = '0 0 -2'
top_right = '10 10 2'
input = shift_down
[]
[injection_area]
type = ParsedGenerateSideset
combinatorial_geometry = 'x*x+y*y<1.01'
included_subdomains = 1
new_sideset_name = 'injection_area'
input = 'aquifer'
[]
[rename]
type = RenameBlockGenerator
old_block = '0 1'
new_block = 'caps aquifer'
input = 'injection_area'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pwater pgas T disp_x disp_y'
number_fluid_phases = 2
number_fluid_components = 2
[]
[pc]
type = PorousFlowCapillaryPressureVG
alpha = 1E-6
m = 0.6
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
gravity = '0 0 0'
biot_coefficient = 1.0
PorousFlowDictator = dictator
[]
[Variables]
[pwater]
initial_condition = 20E6
[]
[pgas]
initial_condition = 20.1E6
[]
[T]
initial_condition = 330
scaling = 1E-5
[]
[disp_x]
scaling = 1E-5
[]
[disp_y]
scaling = 1E-5
[]
[]
[Kernels]
[mass_water_dot]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pwater
[]
[flux_water]
type = PorousFlowAdvectiveFlux
fluid_component = 0
use_displaced_mesh = false
variable = pwater
[]
[vol_strain_rate_water]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = pwater
[]
[mass_co2_dot]
type = PorousFlowMassTimeDerivative
fluid_component = 1
variable = pgas
[]
[flux_co2]
type = PorousFlowAdvectiveFlux
fluid_component = 1
use_displaced_mesh = false
variable = pgas
[]
[vol_strain_rate_co2]
type = PorousFlowMassVolumetricExpansion
fluid_component = 1
variable = pgas
[]
[energy_dot]
type = PorousFlowEnergyTimeDerivative
variable = T
[]
[advection]
type = PorousFlowHeatAdvection
use_displaced_mesh = false
variable = T
[]
[conduction]
type = PorousFlowHeatConduction
use_displaced_mesh = false
variable = T
[]
[vol_strain_rate_heat]
type = PorousFlowHeatVolumetricExpansion
variable = T
[]
[grad_stress_x]
type = StressDivergenceTensors
temperature = T
variable = disp_x
eigenstrain_names = thermal_contribution
use_displaced_mesh = false
component = 0
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
variable = disp_x
use_displaced_mesh = false
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
temperature = T
variable = disp_y
eigenstrain_names = thermal_contribution
use_displaced_mesh = false
component = 1
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
variable = disp_y
use_displaced_mesh = false
component = 1
[]
[]
[AuxVariables]
[disp_z]
[]
[effective_fluid_pressure]
family = MONOMIAL
order = CONSTANT
[]
[mass_frac_phase0_species0]
initial_condition = 1 # all water in phase=0
[]
[mass_frac_phase1_species0]
initial_condition = 0 # no water in phase=1
[]
[sgas]
family = MONOMIAL
order = CONSTANT
[]
[swater]
family = MONOMIAL
order = CONSTANT
[]
[stress_rr]
family = MONOMIAL
order = CONSTANT
[]
[stress_tt]
family = MONOMIAL
order = CONSTANT
[]
[stress_zz]
family = MONOMIAL
order = CONSTANT
[]
[porosity]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[effective_fluid_pressure]
type = ParsedAux
coupled_variables = 'pwater pgas swater sgas'
expression = 'pwater * swater + pgas * sgas'
variable = effective_fluid_pressure
[]
[swater]
type = PorousFlowPropertyAux
variable = swater
property = saturation
phase = 0
execute_on = timestep_end
[]
[sgas]
type = PorousFlowPropertyAux
variable = sgas
property = saturation
phase = 1
execute_on = timestep_end
[]
[stress_rr]
type = RankTwoScalarAux
variable = stress_rr
rank_two_tensor = stress
scalar_type = RadialStress
point1 = '0 0 0'
point2 = '0 0 1'
execute_on = timestep_end
[]
[stress_tt]
type = RankTwoScalarAux
variable = stress_tt
rank_two_tensor = stress
scalar_type = HoopStress
point1 = '0 0 0'
point2 = '0 0 1'
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
variable = stress_zz
rank_two_tensor = stress
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[porosity]
type = PorousFlowPropertyAux
variable = porosity
property = porosity
execute_on = timestep_end
[]
[]
[BCs]
[roller_tmax]
type = DirichletBC
variable = disp_x
value = 0
boundary = dmax
[]
[roller_tmin]
type = DirichletBC
variable = disp_y
value = 0
boundary = dmin
[]
[pinned_top_bottom_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'top bottom'
[]
[pinned_top_bottom_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'top bottom'
[]
[cavity_pressure_x]
type = Pressure
boundary = injection_area
variable = disp_x
component = 0
postprocessor = constrained_effective_fluid_pressure_at_wellbore
use_displaced_mesh = false
[]
[cavity_pressure_y]
type = Pressure
boundary = injection_area
variable = disp_y
component = 1
postprocessor = constrained_effective_fluid_pressure_at_wellbore
use_displaced_mesh = false
[]
[cold_co2]
type = DirichletBC
boundary = injection_area
variable = T
value = 290 # injection temperature
use_displaced_mesh = false
[]
[constant_co2_injection]
type = PorousFlowSink
boundary = injection_area
variable = pgas
fluid_phase = 1
flux_function = -1E-4
use_displaced_mesh = false
[]
[outer_water_removal]
type = PorousFlowPiecewiseLinearSink
boundary = rmax
variable = pwater
fluid_phase = 0
pt_vals = '0 1E9'
multipliers = '0 1E8'
PT_shift = 20E6
use_mobility = true
use_relperm = true
use_displaced_mesh = false
[]
[outer_co2_removal]
type = PorousFlowPiecewiseLinearSink
boundary = rmax
variable = pgas
fluid_phase = 1
pt_vals = '0 1E9'
multipliers = '0 1E8'
PT_shift = 20.1E6
use_mobility = true
use_relperm = true
use_displaced_mesh = false
[]
[]
[FluidProperties]
[true_water]
type = Water97FluidProperties
[]
[tabulated_water]
type = TabulatedFluidProperties
fp = true_water
temperature_min = 275
pressure_max = 1E8
interpolated_properties = 'density viscosity enthalpy internal_energy'
fluid_property_output_file = water97_tabulated_11.csv
# Comment out the fp parameter and uncomment below to use the newly generated tabulation
# fluid_property_file = water97_tabulated_11.csv
[]
[true_co2]
type = CO2FluidProperties
[]
[tabulated_co2]
type = TabulatedFluidProperties
fp = true_co2
temperature_min = 275
pressure_max = 1E8
interpolated_properties = 'density viscosity enthalpy internal_energy'
fluid_property_output_file = co2_tabulated_11.csv
# Comment out the fp parameter and uncomment below to use the newly generated tabulation
# fluid_property_file = co2_tabulated_11.csv
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = T
[]
[saturation_calculator]
type = PorousFlow2PhasePP
phase0_porepressure = pwater
phase1_porepressure = pgas
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
mass_fraction_vars = 'mass_frac_phase0_species0 mass_frac_phase1_species0'
[]
[water]
type = PorousFlowSingleComponentFluid
fp = tabulated_water
phase = 0
[]
[co2]
type = PorousFlowSingleComponentFluid
fp = tabulated_co2
phase = 1
[]
[relperm_water]
type = PorousFlowRelativePermeabilityCorey
n = 4
s_res = 0.1
sum_s_res = 0.2
phase = 0
[]
[relperm_co2]
type = PorousFlowRelativePermeabilityBC
nw_phase = true
lambda = 2
s_res = 0.1
sum_s_res = 0.2
phase = 1
[]
[porosity_mat]
type = PorousFlowPorosity
fluid = true
mechanical = true
thermal = true
porosity_zero = 0.1
reference_temperature = 330
reference_porepressure = 20E6
thermal_expansion_coeff = 15E-6 # volumetric
solid_bulk = 8E9 # unimportant since biot = 1
[]
[permeability_aquifer]
type = PorousFlowPermeabilityKozenyCarman
block = aquifer
poroperm_function = kozeny_carman_phi0
phi0 = 0.1
n = 2
m = 2
k0 = 1E-12
[]
[permeability_caps]
type = PorousFlowPermeabilityKozenyCarman
block = caps
poroperm_function = kozeny_carman_phi0
phi0 = 0.1
n = 2
m = 2
k0 = 1E-15
k_anisotropy = '1 0 0 0 1 0 0 0 0.1'
[]
[rock_thermal_conductivity]
type = PorousFlowThermalConductivityIdeal
dry_thermal_conductivity = '2 0 0 0 2 0 0 0 2'
[]
[rock_internal_energy]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1100
density = 2300
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 5E9
poissons_ratio = 0.0
[]
[strain]
type = ComputeSmallStrain
eigenstrain_names = 'thermal_contribution initial_stress'
[]
[thermal_contribution]
type = ComputeThermalExpansionEigenstrain
temperature = T
thermal_expansion_coeff = 5E-6 # this is the linear thermal expansion coefficient
eigenstrain_name = thermal_contribution
stress_free_temperature = 330
[]
[initial_strain]
type = ComputeEigenstrainFromInitialStress
initial_stress = '20E6 0 0 0 20E6 0 0 0 20E6'
eigenstrain_name = initial_stress
[]
[stress]
type = ComputeLinearElasticStress
[]
[effective_fluid_pressure_mat]
type = PorousFlowEffectiveFluidPressure
[]
[volumetric_strain]
type = PorousFlowVolumetricStrain
[]
[]
[Postprocessors]
[effective_fluid_pressure_at_wellbore]
type = PointValue
variable = effective_fluid_pressure
point = '1 0 0'
execute_on = timestep_begin
use_displaced_mesh = false
[]
[constrained_effective_fluid_pressure_at_wellbore]
type = FunctionValuePostprocessor
function = constrain_effective_fluid_pressure
execute_on = timestep_begin
[]
[]
[Functions]
[constrain_effective_fluid_pressure]
type = ParsedFunction
symbol_names = effective_fluid_pressure_at_wellbore
symbol_values = effective_fluid_pressure_at_wellbore
expression = 'max(effective_fluid_pressure_at_wellbore, 20E6)'
[]
[]
[Preconditioning]
active = basic
[basic]
type = SMP
full = true
petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
petsc_options_value = ' asm lu NONZERO 2'
[]
[preferred_but_might_not_be_installed]
type = SMP
full = true
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu mumps'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
end_time = 1E3
[TimeStepper]
type = IterationAdaptiveDT
dt = 1E3
growth_factor = 1.2
optimal_iterations = 10
[]
nl_abs_tol = 1E-7
[]
[Outputs]
exodus = true
[](modules/porous_flow/test/tests/mass_conservation/mass11.i)
# The sample is a single unit element, with roller BCs on the sides and bottom.
# The top is free to move and fluid is injected at a constant rate of 1kg/s
# There is no fluid flow.
# Fluid mass conservation is checked.
# Under these conditions the fluid mass should increase at 1kg/s
# The porepressure should increase: rho0 * exp(P/bulk) = rho * exp(P0/bulk) + 1*t
# The stress_zz should be exactly biot * P since total stress is zero
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
initial_condition = 0.1
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[]
[DiracKernels]
[inject]
type = PorousFlowPointSourceFromPostprocessor
point = '0 0 0'
mass_flux = 1.0
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst
porosity = 0.1
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '0.5 0 0 0 0.5 0 0 0 0.5'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
use_displaced_mesh = false
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 2
[]
[Outputs]
execute_on = 'initial timestep_end'
[csv]
type = CSV
[]
[](modules/porous_flow/test/tests/poro_elasticity/terzaghi_constM.i)
# Terzaghi's problem of consolodation of a drained medium
#
# A saturated soil sample sits in a bath of water.
# It is constrained on its sides, and bottom.
# Its sides and bottom are also impermeable.
# Initially it is unstressed.
# A normal stress, q, is applied to the soil's top.
# The soil then slowly compresses as water is squeezed
# out from the sample from its top (the top BC for
# the porepressure is porepressure = 0).
#
# See, for example. Section 2.2 of the online manuscript
# Arnold Verruijt "Theory and Problems of Poroelasticity" Delft University of Technology 2013
# but note that the "sigma" in that paper is the negative
# of the stress in TensorMechanics
#
# Here are the problem's parameters, and their values:
# Soil height. h = 10
# Soil's Lame lambda. la = 2
# Soil's Lame mu, which is also the Soil's shear modulus. mu = 3
# Soil bulk modulus. K = la + 2*mu/3 = 4
# Soil confined compressibility. m = 1/(K + 4mu/3) = 0.125
# Soil bulk compliance. 1/K = 0.25
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Soil initial storativity, which is the reciprocal of the initial Biot modulus. S = phi0/Kf + (alpha - phi0)(1 - alpha)/K = 0.0625
# Consolidation coefficient. c = k/(S + alpha^2 m) = 13.95348837
# Normal stress on top. q = 1
# Initial porepressure, resulting from instantaneous application of q, assuming corresponding instantaneous increase of porepressure (Note that this is calculated by MOOSE: we only need it for the analytical solution). p0 = alpha*m*q/(S + alpha^2 m) = 0.69767442
# Initial vertical displacement (down is positive), resulting from instantaneous application of q (Note this is calculated by MOOSE: we only need it for the analytical solution). uz0 = q*m*h*S/(S + alpha^2 m)
# Final vertical displacement (down in positive) (Note this is calculated by MOOSE: we only need it for the analytical solution). uzinf = q*m*h
#
# The solution for porepressure is
# P = 4*p0/\pi \sum_{k=1}^{\infty} \frac{(-1)^{k-1}}{2k-1} \cos ((2k-1)\pi z/(2h)) \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
# This series converges very slowly for ct/h^2 small, so in that domain
# P = p0 erf( (1-(z/h))/(2 \sqrt(ct/h^2)) )
#
# The degree of consolidation is defined as
# U = (uz - uz0)/(uzinf - uz0)
# where uz0 and uzinf are defined above, and
# uz = the vertical displacement of the top (down is positive)
# U = 1 - (8/\pi^2)\sum_{k=1}^{\infty} \frac{1}{(2k-1)^2} \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 10
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = 0
zmax = 10
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.8
alpha = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[topdrained]
type = DirichletBC
variable = porepressure
value = 0
boundary = front
[]
[topload]
type = NeumannBC
variable = disp_z
value = -1
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 0.96
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
# bulk modulus is lambda + 2*mu/3 = 2 + 2*3/3 = 4
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityHMBiotModulus
porosity_zero = 0.1
biot_coefficient = 0.6
solid_bulk = 4
constant_fluid_bulk_modulus = 8
constant_biot_modulus = 16
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
use_displaced_mesh = false
[]
[p1]
type = PointValue
outputs = csv
point = '0 0 1'
variable = porepressure
use_displaced_mesh = false
[]
[p2]
type = PointValue
outputs = csv
point = '0 0 2'
variable = porepressure
use_displaced_mesh = false
[]
[p3]
type = PointValue
outputs = csv
point = '0 0 3'
variable = porepressure
use_displaced_mesh = false
[]
[p4]
type = PointValue
outputs = csv
point = '0 0 4'
variable = porepressure
use_displaced_mesh = false
[]
[p5]
type = PointValue
outputs = csv
point = '0 0 5'
variable = porepressure
use_displaced_mesh = false
[]
[p6]
type = PointValue
outputs = csv
point = '0 0 6'
variable = porepressure
use_displaced_mesh = false
[]
[p7]
type = PointValue
outputs = csv
point = '0 0 7'
variable = porepressure
use_displaced_mesh = false
[]
[p8]
type = PointValue
outputs = csv
point = '0 0 8'
variable = porepressure
use_displaced_mesh = false
[]
[p9]
type = PointValue
outputs = csv
point = '0 0 9'
variable = porepressure
use_displaced_mesh = false
[]
[p99]
type = PointValue
outputs = csv
point = '0 0 10'
variable = porepressure
use_displaced_mesh = false
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 10'
variable = disp_z
use_displaced_mesh = false
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.5*t<0.1,0.5*t,0.1)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.0001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = terzaghi_constM
[csv]
type = CSV
[]
[](modules/porous_flow/test/tests/poro_elasticity/pp_generation.i)
# A sample is constrained on all sides and its boundaries are
# also impermeable. Fluid is pumped into the sample via a
# volumetric source (ie kg/second per cubic meter), and the
# rise in porepressure is observed.
#
# Source = s (units = kg/m^3/second)
#
# Expect:
# fluid_mass = mass0 + s*t
# stress = 0 (remember this is effective stress)
# Porepressure = fluid_bulk*log(fluid_mass_density/density_P0), where fluid_mass_density = fluid_mass*porosity
# porosity = biot+(phi0-biot)*exp(pp(biot-1)/solid_bulk)
#
# Parameters:
# Biot coefficient = 0.3
# Phi0 = 0.1
# Solid Bulk modulus = 2
# fluid_bulk = 13
# density_P0 = 1
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[source]
type = BodyForce
function = 0.1
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[porosity]
type = PorousFlowPropertyAux
variable = porosity
property = porosity
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 13
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = porepressure
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.3
solid_bulk = 2
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1 0 0 0 1 0 0 0 1' # unimportant
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Functions]
[porosity_analytic]
type = ParsedFunction
expression = 'biot+(phi0-biot)*exp(pp*(biot-1)/bulk)'
symbol_names = 'biot phi0 pp bulk'
symbol_values = '0.3 0.1 p0 2'
[]
[]
[Postprocessors]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
[]
[porosity]
type = PointValue
outputs = 'console csv'
point = '0 0 0'
variable = porosity
[]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[]
[porosity_analytic]
type = FunctionValuePostprocessor
function = porosity_analytic
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_max_it -snes_stol'
petsc_options_value = 'bcgs bjacobi 10000 1E-11'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = pp_generation
[csv]
type = CSV
[]
[](modules/porous_flow/test/tests/mass_conservation/mass13.i)
# The sample is an annulus in RZ coordinates.
# Roller BCs are applied to the rmin, top and bottom boundaries
# A constant displacement is applied to the outer boundary: disp_r = -0.01 * t * (r - rmin)/(rmax - rmin).
# There is no fluid flow.
# Fluid mass conservation is checked.
#
# The flag volumetric_locking_correction = true is set for the strain calculator,
# which ensures that the volumetric strain is uniform throughout the element
#
# Theoretically,
# volumetric_strain = volume / volume0 - 1 = ((rmax - 0.01*t)^2 - rmin^2) / (rmax^2 - rmin^2) - 1
# However, with ComputeAxisymmetricRZSmallStrain, strain_rr = -0.01 * t / (rmax - rmin)
# and strain_tt = disp_r / r = -0.01 * t * (1 - rmin / r_qp) / (rmax - rmin), where r_qp is the radius of the quadpoint
# With volumetric_locking_correction = true, r_qp = (rmax - rmin) / 2.
# The volumetric strain is
# epv = -0.01 * t * (2 - rmin / r_qp) / (rmax - rmin)
# and volume = volume0 * (1 + epv)
#
# Fluid conservation reads
# volume0 * rho0 * exp(P0/bulk) = volume * rho0 * exp(P/bulk), so
# P - P0 = bulk * log(volume0 / volume) = 0.5 * log(1 / (1 + epv))
# With rmax = 2 and rmin = 1
# fluid_mass = volume0 * rho0 * exp(P0/bulk) = pi*3 * 1 * exp(0.1/0.5) = 11.51145
[Mesh]
type = GeneratedMesh
dim = 2
nx = 1
ny = 1
xmin = 1
xmax = 2
ymin = -0.5
ymax = 0.5
coord_type = RZ
[]
[GlobalParams]
displacements = 'disp_r disp_z'
PorousFlowDictator = dictator
block = 0
biot_coefficient = 0.3
[]
[Variables]
[disp_r]
[]
[disp_z]
[]
[porepressure]
initial_condition = 0.1
[]
[]
[BCs]
[plane_strain]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'bottom top'
[]
[rmin_fixed]
type = DirichletBC
variable = disp_r
value = 0
boundary = left
[]
[contract]
type = FunctionDirichletBC
variable = disp_r
function = -0.01*t
boundary = right
[]
[]
[Kernels]
[grad_stress_r]
type = StressDivergenceRZTensors
variable = disp_r
component = 0
[]
[grad_stress_z]
type = StressDivergenceRZTensors
variable = disp_z
component = 1
[]
[poro_r]
type = PorousFlowEffectiveStressCoupling
variable = disp_r
component = 0
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
variable = disp_z
component = 1
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[]
[AuxVariables]
[stress_rr]
order = CONSTANT
family = MONOMIAL
[]
[stress_rz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_tt]
order = CONSTANT
family = MONOMIAL
[]
[strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[strain_tt]
order = CONSTANT
family = MONOMIAL
[]
[vol_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_rr]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_rr
index_i = 0
index_j = 0
[]
[stress_rz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_rz
index_i = 0
index_j = 1
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 1
index_j = 1
[]
[stress_tt]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_tt
index_i = 2
index_j = 2
[]
[strain_rr]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_rr
index_i = 0
index_j = 0
[]
[strain_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_zz
index_i = 1
index_j = 1
[]
[strain_tt]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_tt
index_i = 2
index_j = 2
[]
[vol_strain]
type = MaterialRealAux
property = PorousFlow_total_volumetric_strain_qp
variable = vol_strain
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeAxisymmetricRZSmallStrain
volumetric_locking_correction = true # the strain will be the same at every qp of the element
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst
porosity = 0.1
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '0.5 0 0 0 0.5 0 0 0 0.5'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_r disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '1.0 0 0'
variable = porepressure
[]
[vol_strain]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '1 0 0'
variable = vol_strain
[]
[strain_rr]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '1 0 0'
variable = strain_rr
[]
[strain_zz]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '1 0 0'
variable = strain_zz
[]
[strain_tt]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '1 0 0'
variable = strain_tt
[]
[rdisp]
type = PointValue
outputs = csv
point = '2 0 0'
use_displaced_mesh = false
variable = disp_r
[]
[stress_rr]
type = PointValue
outputs = csv
point = '1 0 0'
variable = stress_rr
[]
[stress_zz]
type = PointValue
outputs = csv
point = '1 0 0'
variable = stress_zz
[]
[stress_tt]
type = PointValue
outputs = csv
point = '1 0 0'
variable = stress_tt
[]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 2
[]
[Outputs]
execute_on = 'initial timestep_end'
[csv]
type = CSV
[]
[](modules/porous_flow/test/tests/jacobian/mass_vol_exp01.i)
# Tests the PorousFlowMassVolumetricExpansion kernel
# Fluid with constant bulk modulus, van-Genuchten capillary, constant porosity
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
block = 0
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[ICs]
[disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[]
[disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[]
[disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[]
[p]
type = RandomIC
min = -1
max = 1
variable = porepressure
[]
[]
[BCs]
# necessary otherwise volumetric strain rate will be zero
[disp_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[disp_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left right'
[]
[disp_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left right'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y disp_z'
component = 2
[]
[poro]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = porepressure
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[simple1]
type = TensorMechanicsPlasticSimpleTester
a = 0
b = 1
strength = 1E20
yield_function_tolerance = 1.0E-9
internal_constraint_tolerance = 1.0E-9
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst
porosity = 0.1
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1E-5
[]
[Outputs]
execute_on = 'timestep_end'
file_base = jacobian2
exodus = false
[](modules/porous_flow/test/tests/jacobian/desorped_mass_vol_exp01.i)
# Tests the PorousFlowDesorpedMassVolumetricExpansion kernel
# Fluid with constant bulk modulus, van-Genuchten capillary, HM porosity
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
block = 0
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[conc]
family = MONOMIAL
order = CONSTANT
[]
[]
[ICs]
[disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[]
[disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[]
[disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[]
[p]
type = RandomIC
min = -1
max = 1
variable = porepressure
[]
[conc]
type = RandomIC
min = 0
max = 1
variable = conc
[]
[]
[BCs]
# necessary otherwise volumetric strain rate will be zero
[disp_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[disp_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left right'
[]
[disp_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left right'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y disp_z'
component = 2
[]
[poro]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = porepressure
[]
[conc_in_poro]
type = PorousFlowDesorpedMassVolumetricExpansion
conc_var = conc
variable = porepressure
[]
[conc]
type = PorousFlowDesorpedMassVolumetricExpansion
conc_var = conc
variable = conc
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z conc'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1E-5
[]
[Outputs]
execute_on = 'timestep_end'
file_base = jacobian2
exodus = false
[](modules/porous_flow/examples/coal_mining/fine_with_fluid.i)
#################################################################
#
# NOTE:
# The mesh for this model is too large for the MOOSE repository
# so is kept in the the large_media submodule
#
#################################################################
#
# Strata deformation and fluid flow aaround a coal mine - 3D model
#
# A "half model" is used. The mine is 400m deep and
# just the roof is studied (-400<=z<=0). The mining panel
# sits between 0<=x<=150, and 0<=y<=1000, so this simulates
# a coal panel that is 300m wide and 1000m long. The outer boundaries
# are 1km from the excavation boundaries.
#
# The excavation takes 0.5 years.
#
# The boundary conditions for this simulation are:
# - disp_x = 0 at x=0 and x=1150
# - disp_y = 0 at y=-1000 and y=1000
# - disp_z = 0 at z=-400, but there is a time-dependent
# Young modulus that simulates excavation
# - wc_x = 0 at y=-1000 and y=1000
# - wc_y = 0 at x=0 and x=1150
# - no flow at x=0, z=-400 and z=0
# - fixed porepressure at y=-1000, y=1000 and x=1150
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# A single-phase unsaturated fluid is used.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa, and time units are measured in years.
#
# The initial porepressure is hydrostatic with P=0 at z=0, so
# Porepressure ~ - 0.01*z MPa, where the fluid has density 1E3 kg/m^3 and
# gravity = = 10 m.s^-2 = 1E-5 MPa m^2/kg.
# To be more accurate, i use
# Porepressure = -bulk * log(1 + g*rho0*z/bulk)
# where bulk=2E3 MPa and rho0=1Ee kg/m^3.
# The initial stress is consistent with the weight force from undrained
# density 2500 kg/m^3, and fluid porepressure, and a Biot coefficient of 0.7, ie,
# stress_zz^effective = 0.025*z + 0.7 * initial_porepressure
# The maximum and minimum principal horizontal effective stresses are
# assumed to be equal to 0.8*stress_zz.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# MC cohesion = 2 MPa
# MC friction angle = 35 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
# Fluid density at zero porepressure = 1E3 kg/m^3
# Fluid bulk modulus = 2E3 MPa
# Fluid viscosity = 1.1E-3 Pa.s = 1.1E-9 MPa.s = 3.5E-17 MPa.year
#
[GlobalParams]
perform_finite_strain_rotations = false
displacements = 'disp_x disp_y disp_z'
Cosserat_rotations = 'wc_x wc_y wc_z'
PorousFlowDictator = dictator
biot_coefficient = 0.7
[]
[Mesh]
[file]
type = FileMeshGenerator
file = fine.e
[]
[xmin]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
new_boundary = xmin
normal = '-1 0 0'
input = file
[]
[xmax]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
new_boundary = xmax
normal = '1 0 0'
input = xmin
[]
[ymin]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
new_boundary = ymin
normal = '0 -1 0'
input = xmax
[]
[ymax]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
new_boundary = ymax
normal = '0 1 0'
input = ymin
[]
[zmax]
type = SideSetsAroundSubdomainGenerator
block = 30
new_boundary = zmax
normal = '0 0 1'
input = ymax
[]
[zmin]
type = SideSetsAroundSubdomainGenerator
block = 2
new_boundary = zmin
normal = '0 0 -1'
input = zmax
[]
[excav]
type = SubdomainBoundingBoxGenerator
input = zmin
block_id = 1
bottom_left = '0 0 -400'
top_right = '150 1000 -397'
[]
[roof]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 3
paired_block = 1
input = excav
new_boundary = roof
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[wc_x]
[]
[wc_y]
[]
[porepressure]
scaling = 1E-5
[]
[]
[ICs]
[porepressure]
type = FunctionIC
variable = porepressure
function = ini_pp
[]
[]
[Kernels]
[cx_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_x
component = 0
[]
[cy_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_y
component = 1
[]
[cz_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_z
component = 2
[]
[x_couple]
type = StressDivergenceTensors
use_displaced_mesh = false
variable = wc_x
displacements = 'wc_x wc_y wc_z'
component = 0
base_name = couple
[]
[y_couple]
type = StressDivergenceTensors
use_displaced_mesh = false
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[]
[x_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_x
component = 0
[]
[y_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_y
component = 1
[]
[gravity]
type = Gravity
use_displaced_mesh = false
variable = disp_z
value = -10E-6 # remember this is in MPa
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
use_displaced_mesh = false
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
use_displaced_mesh = false
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
use_displaced_mesh = false
variable = porepressure
gravity = '0 0 -10E-6'
fluid_component = 0
[]
[]
[AuxVariables]
[saturation]
order = CONSTANT
family = MONOMIAL
[]
[darcy_x]
order = CONSTANT
family = MONOMIAL
[]
[darcy_y]
order = CONSTANT
family = MONOMIAL
[]
[darcy_z]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[wc_z]
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zx]
order = CONSTANT
family = MONOMIAL
[]
[stress_zy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[perm_xx]
order = CONSTANT
family = MONOMIAL
[]
[perm_yy]
order = CONSTANT
family = MONOMIAL
[]
[perm_zz]
order = CONSTANT
family = MONOMIAL
[]
[mc_shear]
order = CONSTANT
family = MONOMIAL
[]
[mc_tensile]
order = CONSTANT
family = MONOMIAL
[]
[wp_shear]
order = CONSTANT
family = MONOMIAL
[]
[wp_tensile]
order = CONSTANT
family = MONOMIAL
[]
[wp_shear_f]
order = CONSTANT
family = MONOMIAL
[]
[wp_tensile_f]
order = CONSTANT
family = MONOMIAL
[]
[mc_shear_f]
order = CONSTANT
family = MONOMIAL
[]
[mc_tensile_f]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[saturation_water]
type = PorousFlowPropertyAux
variable = saturation
property = saturation
phase = 0
execute_on = timestep_end
[]
[darcy_x]
type = PorousFlowDarcyVelocityComponent
variable = darcy_x
gravity = '0 0 -10E-6'
component = x
[]
[darcy_y]
type = PorousFlowDarcyVelocityComponent
variable = darcy_y
gravity = '0 0 -10E-6'
component = y
[]
[darcy_z]
type = PorousFlowDarcyVelocityComponent
variable = darcy_z
gravity = '0 0 -10E-6'
component = z
[]
[porosity]
type = PorousFlowPropertyAux
property = porosity
variable = porosity
execute_on = timestep_end
[]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yx
index_i = 1
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
execute_on = timestep_end
[]
[stress_zy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zy
index_i = 2
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[total_strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[total_strain_xy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[total_strain_xz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[total_strain_yx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yx
index_i = 1
index_j = 0
execute_on = timestep_end
[]
[total_strain_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[total_strain_yz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[total_strain_zx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zx
index_i = 2
index_j = 0
execute_on = timestep_end
[]
[total_strain_zy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zy
index_i = 2
index_j = 1
execute_on = timestep_end
[]
[total_strain_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[perm_xx]
type = PorousFlowPropertyAux
property = permeability
variable = perm_xx
row = 0
column = 0
execute_on = timestep_end
[]
[perm_yy]
type = PorousFlowPropertyAux
property = permeability
variable = perm_yy
row = 1
column = 1
execute_on = timestep_end
[]
[perm_zz]
type = PorousFlowPropertyAux
property = permeability
variable = perm_zz
row = 2
column = 2
execute_on = timestep_end
[]
[mc_shear]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_internal_parameter
variable = mc_shear
execute_on = timestep_end
[]
[mc_tensile]
type = MaterialStdVectorAux
index = 1
property = mc_plastic_internal_parameter
variable = mc_tensile
execute_on = timestep_end
[]
[wp_shear]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_internal_parameter
variable = wp_shear
execute_on = timestep_end
[]
[wp_tensile]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_internal_parameter
variable = wp_tensile
execute_on = timestep_end
[]
[mc_shear_f]
type = MaterialStdVectorAux
index = 6
property = mc_plastic_yield_function
variable = mc_shear_f
execute_on = timestep_end
[]
[mc_tensile_f]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_yield_function
variable = mc_tensile_f
execute_on = timestep_end
[]
[wp_shear_f]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_yield_function
variable = wp_shear_f
execute_on = timestep_end
[]
[wp_tensile_f]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_yield_function
variable = wp_tensile_f
execute_on = timestep_end
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_x
boundary = 'xmin xmax'
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_y
boundary = 'ymin ymax'
value = 0.0
[]
[no_z]
type = DirichletBC
variable = disp_z
boundary = zmin
value = 0.0
[]
[no_wc_x]
type = DirichletBC
variable = wc_x
boundary = 'ymin ymax'
value = 0.0
[]
[no_wc_y]
type = DirichletBC
variable = wc_y
boundary = 'xmin xmax'
value = 0.0
[]
[fix_porepressure]
type = FunctionDirichletBC
variable = porepressure
boundary = 'ymin ymax xmax'
function = ini_pp
[]
[roof_porepressure]
type = PorousFlowPiecewiseLinearSink
variable = porepressure
pt_vals = '-1E3 1E3'
multipliers = '-1 1'
fluid_phase = 0
flux_function = roof_conductance
boundary = roof
[]
[roof]
type = StickyBC
variable = disp_z
min_value = -3.0
boundary = roof
[]
[]
[Functions]
[ini_pp]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0'
symbol_values = '2E3 0.0 1E-5 1E3'
expression = '-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)'
[]
[ini_xx]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0 biot'
symbol_values = '2E3 0.0 1E-5 1E3 0.7'
expression = '0.8*(2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)))'
[]
[ini_zz]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0 biot'
symbol_values = '2E3 0.0 1E-5 1E3 0.7'
expression = '2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk))'
[]
[excav_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval slope'
symbol_values = '0.5 0 1000.0 1E-9 1 10'
# excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
# slope is the distance over which the modulus reduces from maxval to minval
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
[]
[density_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval'
symbol_values = '0.5 0 1000.0 0 2500'
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
[]
[roof_conductance]
type = ParsedFunction
symbol_names = 'end_t ymin ymax maxval minval'
symbol_values = '0.5 0 1000.0 1E7 0'
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),maxval,minval)'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1 # MPa^-1
[]
[mc_coh_strong_harden]
type = TensorMechanicsHardeningExponential
value_0 = 1.99 # MPa
value_residual = 2.01 # MPa
rate = 1.0
[]
[mc_fric]
type = TensorMechanicsHardeningConstant
value = 0.61 # 35deg
[]
[mc_dil]
type = TensorMechanicsHardeningConstant
value = 0.15 # 8deg
[]
[mc_tensile_str_strong_harden]
type = TensorMechanicsHardeningExponential
value_0 = 1.0 # MPa
value_residual = 1.0 # MPa
rate = 1.0
[]
[mc_compressive_str]
type = TensorMechanicsHardeningCubic
value_0 = 100 # Large!
value_residual = 100
internal_limit = 0.1
[]
[wp_coh_harden]
type = TensorMechanicsHardeningCubic
value_0 = 0.05
value_residual = 0.05
internal_limit = 10
[]
[wp_tan_fric]
type = TensorMechanicsHardeningConstant
value = 0.26 # 15deg
[]
[wp_tan_dil]
type = TensorMechanicsHardeningConstant
value = 0.18 # 10deg
[]
[wp_tensile_str_harden]
type = TensorMechanicsHardeningCubic
value_0 = 0.05
value_residual = 0.05
internal_limit = 10
[]
[wp_compressive_str_soften]
type = TensorMechanicsHardeningCubic
value_0 = 100
value_residual = 1
internal_limit = 1.0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 2E3
density0 = 1000
thermal_expansion = 0
viscosity = 3.5E-17
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity_for_aux]
type = PorousFlowPorosity
at_nodes = false
fluid = true
mechanical = true
ensure_positive = true
porosity_zero = 0.02
solid_bulk = 5.3333E3
[]
[porosity_bulk]
type = PorousFlowPorosity
fluid = true
mechanical = true
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
ensure_positive = true
porosity_zero = 0.02
solid_bulk = 5.3333E3
[]
[porosity_excav]
type = PorousFlowPorosityConst
block = 1
porosity = 1.0
[]
[permeability_bulk]
type = PorousFlowPermeabilityKozenyCarman
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
poroperm_function = kozeny_carman_phi0
k0 = 1E-15
phi0 = 0.02
n = 2
m = 2
[]
[permeability_excav]
type = PorousFlowPermeabilityConst
block = 1
permeability = '0 0 0 0 0 0 0 0 0'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 4
s_res = 0.4
sum_s_res = 0.4
phase = 0
[]
[elasticity_tensor_0]
type = ComputeLayeredCosseratElasticityTensor
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
[]
[elasticity_tensor_1]
type = ComputeLayeredCosseratElasticityTensor
block = 1
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
elasticity_tensor_prefactor = excav_sideways
[]
[strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[]
[ini_stress]
type = ComputeEigenstrainFromInitialStress
eigenstrain_name = ini_stress
initial_stress = 'ini_xx 0 0 0 ini_xx 0 0 0 ini_zz'
[]
[stress_0]
type = ComputeMultipleInelasticCosseratStress
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
inelastic_models = 'mc wp'
cycle_models = true
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[]
[stress_1]
type = ComputeMultipleInelasticCosseratStress
block = 1
inelastic_models = ''
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[]
[mc]
type = CappedMohrCoulombCosseratStressUpdate
warn_about_precision_loss = false
host_youngs_modulus = 8E3
host_poissons_ratio = 0.25
base_name = mc
tensile_strength = mc_tensile_str_strong_harden
compressive_strength = mc_compressive_str
cohesion = mc_coh_strong_harden
friction_angle = mc_fric
dilation_angle = mc_dil
max_NR_iterations = 100000
smoothing_tol = 0.1 # MPa # Must be linked to cohesion
yield_function_tol = 1E-9 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0
[]
[wp]
type = CappedWeakPlaneCosseratStressUpdate
warn_about_precision_loss = false
base_name = wp
cohesion = wp_coh_harden
tan_friction_angle = wp_tan_fric
tan_dilation_angle = wp_tan_dil
tensile_strength = wp_tensile_str_harden
compressive_strength = wp_compressive_str_soften
max_NR_iterations = 10000
tip_smoother = 0.05
smoothing_tol = 0.05 # MPa # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
yield_function_tol = 1E-11 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0E-3
[]
[undrained_density_0]
type = GenericConstantMaterial
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
prop_names = density
prop_values = 2500
[]
[undrained_density_1]
type = GenericFunctionMaterial
block = 1
prop_names = density
prop_values = density_sideways
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Postprocessors]
[min_roof_disp]
type = NodalExtremeValue
boundary = roof
value_type = min
variable = disp_z
[]
[min_roof_pp]
type = NodalExtremeValue
boundary = roof
value_type = min
variable = porepressure
[]
[min_surface_disp]
type = NodalExtremeValue
boundary = zmax
value_type = min
variable = disp_z
[]
[min_surface_pp]
type = NodalExtremeValue
boundary = zmax
value_type = min
variable = porepressure
[]
[max_perm_zz]
type = ElementExtremeValue
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
variable = perm_zz
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason'
# best overall
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu mumps'
# best if you don't have mumps:
#petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
#petsc_options_value = ' asm 2 lu gmres 200'
# very basic:
#petsc_options_iname = '-pc_type -ksp_type -ksp_gmres_restart'
#petsc_options_value = ' bjacobi gmres 200'
line_search = bt
nl_abs_tol = 1e-3
nl_rel_tol = 1e-5
l_max_its = 200
nl_max_its = 30
start_time = 0.0
dt = 0.0025
end_time = 0.5
[]
[Outputs]
time_step_interval = 1
print_linear_residuals = true
exodus = true
csv = true
console = true
[](modules/porous_flow/test/tests/energy_conservation/heat05.i)
# Demonstrates that porosity is correctly initialised,
# since the residual should be zero in this example.
# If initQpStatefulProperties of the Porosity calculator
# is incorrect then the residual will be nonzero.
[Mesh]
type = GeneratedMesh
dim = 3
[]
[FluidProperties]
[the_simple_fluid]
type = SimpleFluidProperties
thermal_expansion = 0.5
cv = 2
cp = 2
bulk_modulus = 2.0
density0 = 3.0
[]
[]
[GlobalParams]
biot_coefficient = 0.7
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
initial_condition = 0.5
[]
[temp]
initial_condition = 1.0
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = pp
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
[]
[temp]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[poro_vol_exp_temp]
type = PorousFlowHeatVolumetricExpansion
variable = temp
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'temp pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[porosity]
type = PorousFlowPorosity
thermal = true
fluid = true
mechanical = true
ensure_positive = false
porosity_zero = 0.5
thermal_expansion_coeff = 0.25
solid_bulk = 2
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 0.2
density = 5.0
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
temperature_unit = Kelvin
fp = the_simple_fluid
phase = 0
[]
[]
[Postprocessors]
[should_be_zero]
type = NumNonlinearIterations
[]
[]
[Executioner]
type = Transient
num_steps = 1
nl_abs_tol = 1e-16
[]
[Outputs]
file_base = heat05
csv = true
[](modules/porous_flow/test/tests/poro_elasticity/mandel_constM.i)
# Mandel's problem of consolodation of a drained medium
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed. The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width. a = 1
# Soil height. b = 0.1
# Soil's Lame lambda. la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus. mu = G = 0.75
# Soil bulk modulus. K = la + 2*mu/3 = 1
# Drained Poisson ratio. nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance. 1/K = 1
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Biot modulus. M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio. nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient. B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Consolidation coefficient. c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top. F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here
[Mesh]
type = GeneratedMesh
dim = 3
nx = 10
ny = 1
nz = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 0.1
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.8
alpha = 1e-5
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[roller_xmin]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left'
[]
[roller_ymin]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom'
[]
[plane_strain]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[xmax_drained]
type = DirichletBC
variable = porepressure
value = 0
boundary = right
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_y
function = top_velocity
boundary = top
[]
[]
[Functions]
[top_velocity]
type = PiecewiseLinear
x = '0 0.002 0.006 0.014 0.03 0.046 0.062 0.078 0.094 0.11 0.126 0.142 0.158 0.174 0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
y = '-0.041824842 -0.042730269 -0.043412712 -0.04428867 -0.045509181 -0.04645965 -0.047268246 -0.047974749 -0.048597109 -0.0491467 -0.049632388 -0.050061697 -0.050441198 -0.050776675 -0.051073238 -0.0513354 -0.051567152 -0.051772022 -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[tot_force]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[tot_force]
type = ParsedAux
coupled_variables = 'stress_yy porepressure'
execute_on = timestep_end
variable = tot_force
expression = '-stress_yy+0.6*porepressure'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityHMBiotModulus
porosity_zero = 0.1
biot_coefficient = 0.6
solid_bulk = 1
constant_fluid_bulk_modulus = 8
constant_biot_modulus = 4.7058823529
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0.0 0 0'
variable = porepressure
[]
[p1]
type = PointValue
outputs = csv
point = '0.1 0 0'
variable = porepressure
[]
[p2]
type = PointValue
outputs = csv
point = '0.2 0 0'
variable = porepressure
[]
[p3]
type = PointValue
outputs = csv
point = '0.3 0 0'
variable = porepressure
[]
[p4]
type = PointValue
outputs = csv
point = '0.4 0 0'
variable = porepressure
[]
[p5]
type = PointValue
outputs = csv
point = '0.5 0 0'
variable = porepressure
[]
[p6]
type = PointValue
outputs = csv
point = '0.6 0 0'
variable = porepressure
[]
[p7]
type = PointValue
outputs = csv
point = '0.7 0 0'
variable = porepressure
[]
[p8]
type = PointValue
outputs = csv
point = '0.8 0 0'
variable = porepressure
[]
[p9]
type = PointValue
outputs = csv
point = '0.9 0 0'
variable = porepressure
[]
[p99]
type = PointValue
outputs = csv
point = '1 0 0'
variable = porepressure
[]
[xdisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_x
[]
[ydisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_y
[]
[total_downwards_force]
type = ElementAverageValue
outputs = csv
variable = tot_force
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.15*t<0.01,0.15*t,0.01)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'gmres asm lu 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 0.7
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = mandel_constM
[csv]
time_step_interval = 3
type = CSV
[]
[](modules/porous_flow/test/tests/energy_conservation/heat03.i)
# The sample is a single unit element, with roller BCs on the sides
# and bottom. A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow or heat flow.
# Heat energy conservation is checked.
#
# Under these conditions (here L is the height of the sample: L=1 in this case):
# porepressure = porepressure(t=0) - (Fluid bulk modulus)*log(1 - 0.01*t)
# stress_xx = (bulk - 2*shear/3)*disp_z/L (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*disp_z/L (remember this is effective stress)
# Also, the total heat energy must be conserved: this is
# fluid_mass * fluid_heat_cap * temperature + (1 - porosity) * rock_density * rock_heat_cap * temperature * volume
# Since fluid_mass is conserved, and volume = (1 - 0.01*t), this can be solved for temperature:
# temperature = initial_heat_energy / (fluid_mass * fluid_heat_cap + (1 - porosity) * rock_density * rock_heat_cap * (1 - 0.01*t))
#
# Parameters:
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 0.5
# initial porepressure = 0.1
# initial temperature = 10
#
# Desired output:
# zdisp = -0.01*t
# p0 = 0.1 - 0.5*log(1-0.01*t)
# stress_xx = stress_yy = -0.01*t
# stress_zz = -0.04*t
# t0 = 11.5 / (0.159 + 0.99 * (1 - 0.01*t))
#
# Regarding the "log" - it comes from preserving fluid mass
#
# Note that the PorousFlowMassVolumetricExpansion and PorousFlowHeatVolumetricExpansion Kernels are used
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
initial_condition = 0.1
[]
[temp]
initial_condition = 10
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_z
function = -0.01*t
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = pp
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
[]
[temp]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[poro_vol_exp_temp]
type = PorousFlowHeatVolumetricExpansion
variable = temp
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'temp pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 1
viscosity = 1
thermal_expansion = 0
cv = 1.3
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[porosity]
type = PorousFlowPorosity
porosity_zero = 0.1
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 2.2
density = 0.5
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = pp
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '0.5 0 0 0 0.5 0 0 0 0.5'
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '0 0 0'
variable = pp
[]
[t0]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '0 0 0'
variable = temp
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
use_displaced_mesh = false
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[total_heat]
type = PorousFlowHeatEnergy
phase = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[rock_heat]
type = PorousFlowHeatEnergy
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[fluid_heat]
type = PorousFlowHeatEnergy
include_porous_skeleton = false
phase = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 2
end_time = 10
[]
[Outputs]
execute_on = 'initial timestep_end'
file_base = heat03
[csv]
type = CSV
[]
[](modules/porous_flow/examples/coal_mining/coarse_with_fluid.i)
# Strata deformation and fluid flow aaround a coal mine - 3D model
#
# A "half model" is used. The mine is 400m deep and
# just the roof is studied (-400<=z<=0). The mining panel
# sits between 0<=x<=150, and 0<=y<=1000, so this simulates
# a coal panel that is 300m wide and 1000m long. The outer boundaries
# are 1km from the excavation boundaries.
#
# The excavation takes 0.5 years.
#
# The boundary conditions for this simulation are:
# - disp_x = 0 at x=0 and x=1150
# - disp_y = 0 at y=-1000 and y=1000
# - disp_z = 0 at z=-400, but there is a time-dependent
# Young modulus that simulates excavation
# - wc_x = 0 at y=-1000 and y=1000
# - wc_y = 0 at x=0 and x=1150
# - no flow at x=0, z=-400 and z=0
# - fixed porepressure at y=-1000, y=1000 and x=1150
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# A single-phase unsaturated fluid is used.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa, and time units are measured in years.
#
# The initial porepressure is hydrostatic with P=0 at z=0, so
# Porepressure ~ - 0.01*z MPa, where the fluid has density 1E3 kg/m^3 and
# gravity = = 10 m.s^-2 = 1E-5 MPa m^2/kg.
# To be more accurate, i use
# Porepressure = -bulk * log(1 + g*rho0*z/bulk)
# where bulk=2E3 MPa and rho0=1Ee kg/m^3.
# The initial stress is consistent with the weight force from undrained
# density 2500 kg/m^3, and fluid porepressure, and a Biot coefficient of 0.7, ie,
# stress_zz^effective = 0.025*z + 0.7 * initial_porepressure
# The maximum and minimum principal horizontal effective stresses are
# assumed to be equal to 0.8*stress_zz.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# MC cohesion = 2 MPa
# MC friction angle = 35 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
# Fluid density at zero porepressure = 1E3 kg/m^3
# Fluid bulk modulus = 2E3 MPa
# Fluid viscosity = 1.1E-3 Pa.s = 1.1E-9 MPa.s = 3.5E-17 MPa.year
#
[GlobalParams]
perform_finite_strain_rotations = false
displacements = 'disp_x disp_y disp_z'
Cosserat_rotations = 'wc_x wc_y wc_z'
PorousFlowDictator = dictator
biot_coefficient = 0.7
[]
[Mesh]
[file]
type = FileMeshGenerator
file = mesh/coarse.e
[]
[xmin]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
new_boundary = xmin
normal = '-1 0 0'
input = file
[]
[xmax]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
new_boundary = xmax
normal = '1 0 0'
input = xmin
[]
[ymin]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
new_boundary = ymin
normal = '0 -1 0'
input = xmax
[]
[ymax]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
new_boundary = ymax
normal = '0 1 0'
input = ymin
[]
[zmax]
type = SideSetsAroundSubdomainGenerator
block = 16
new_boundary = zmax
normal = '0 0 1'
input = ymax
[]
[zmin]
type = SideSetsAroundSubdomainGenerator
block = 2
new_boundary = zmin
normal = '0 0 -1'
input = zmax
[]
[excav]
type = SubdomainBoundingBoxGenerator
input = zmin
block_id = 1
bottom_left = '0 0 -400'
top_right = '150 1000 -397'
[]
[roof]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 3
paired_block = 1
input = excav
new_boundary = roof
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[wc_x]
[]
[wc_y]
[]
[porepressure]
scaling = 1E-5
[]
[]
[ICs]
[porepressure]
type = FunctionIC
variable = porepressure
function = ini_pp
[]
[]
[Kernels]
[cx_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_x
component = 0
[]
[cy_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_y
component = 1
[]
[cz_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_z
component = 2
[]
[x_couple]
type = StressDivergenceTensors
use_displaced_mesh = false
variable = wc_x
displacements = 'wc_x wc_y wc_z'
component = 0
base_name = couple
[]
[y_couple]
type = StressDivergenceTensors
use_displaced_mesh = false
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[]
[x_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_x
component = 0
[]
[y_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_y
component = 1
[]
[gravity]
type = Gravity
use_displaced_mesh = false
variable = disp_z
value = -10E-6 # remember this is in MPa
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
component = 2
variable = disp_z
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
use_displaced_mesh = false
variable = porepressure
gravity = '0 0 -10E-6'
fluid_component = 0
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
variable = porepressure
fluid_component = 0
[]
[]
[AuxVariables]
[saturation]
order = CONSTANT
family = MONOMIAL
[]
[darcy_x]
order = CONSTANT
family = MONOMIAL
[]
[darcy_y]
order = CONSTANT
family = MONOMIAL
[]
[darcy_z]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[wc_z]
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zx]
order = CONSTANT
family = MONOMIAL
[]
[stress_zy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[perm_xx]
order = CONSTANT
family = MONOMIAL
[]
[perm_yy]
order = CONSTANT
family = MONOMIAL
[]
[perm_zz]
order = CONSTANT
family = MONOMIAL
[]
[mc_shear]
order = CONSTANT
family = MONOMIAL
[]
[mc_tensile]
order = CONSTANT
family = MONOMIAL
[]
[wp_shear]
order = CONSTANT
family = MONOMIAL
[]
[wp_tensile]
order = CONSTANT
family = MONOMIAL
[]
[wp_shear_f]
order = CONSTANT
family = MONOMIAL
[]
[wp_tensile_f]
order = CONSTANT
family = MONOMIAL
[]
[mc_shear_f]
order = CONSTANT
family = MONOMIAL
[]
[mc_tensile_f]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[saturation_water]
type = PorousFlowPropertyAux
variable = saturation
property = saturation
phase = 0
execute_on = timestep_end
[]
[darcy_x]
type = PorousFlowDarcyVelocityComponent
variable = darcy_x
gravity = '0 0 -10E-6'
component = x
[]
[darcy_y]
type = PorousFlowDarcyVelocityComponent
variable = darcy_y
gravity = '0 0 -10E-6'
component = y
[]
[darcy_z]
type = PorousFlowDarcyVelocityComponent
variable = darcy_z
gravity = '0 0 -10E-6'
component = z
[]
[porosity]
type = PorousFlowPropertyAux
property = porosity
variable = porosity
execute_on = timestep_end
[]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yx
index_i = 1
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
execute_on = timestep_end
[]
[stress_zy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zy
index_i = 2
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[total_strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[total_strain_xy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[total_strain_xz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[total_strain_yx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yx
index_i = 1
index_j = 0
execute_on = timestep_end
[]
[total_strain_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[total_strain_yz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[total_strain_zx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zx
index_i = 2
index_j = 0
execute_on = timestep_end
[]
[total_strain_zy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zy
index_i = 2
index_j = 1
execute_on = timestep_end
[]
[total_strain_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[perm_xx]
type = PorousFlowPropertyAux
property = permeability
variable = perm_xx
row = 0
column = 0
execute_on = timestep_end
[]
[perm_yy]
type = PorousFlowPropertyAux
property = permeability
variable = perm_yy
row = 1
column = 1
execute_on = timestep_end
[]
[perm_zz]
type = PorousFlowPropertyAux
property = permeability
variable = perm_zz
row = 2
column = 2
execute_on = timestep_end
[]
[mc_shear]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_internal_parameter
variable = mc_shear
execute_on = timestep_end
[]
[mc_tensile]
type = MaterialStdVectorAux
index = 1
property = mc_plastic_internal_parameter
variable = mc_tensile
execute_on = timestep_end
[]
[wp_shear]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_internal_parameter
variable = wp_shear
execute_on = timestep_end
[]
[wp_tensile]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_internal_parameter
variable = wp_tensile
execute_on = timestep_end
[]
[mc_shear_f]
type = MaterialStdVectorAux
index = 6
property = mc_plastic_yield_function
variable = mc_shear_f
execute_on = timestep_end
[]
[mc_tensile_f]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_yield_function
variable = mc_tensile_f
execute_on = timestep_end
[]
[wp_shear_f]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_yield_function
variable = wp_shear_f
execute_on = timestep_end
[]
[wp_tensile_f]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_yield_function
variable = wp_tensile_f
execute_on = timestep_end
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_x
boundary = 'xmin xmax'
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_y
boundary = 'ymin ymax'
value = 0.0
[]
[no_z]
type = DirichletBC
variable = disp_z
boundary = zmin
value = 0.0
[]
[no_wc_x]
type = DirichletBC
variable = wc_x
boundary = 'ymin ymax'
value = 0.0
[]
[no_wc_y]
type = DirichletBC
variable = wc_y
boundary = 'xmin xmax'
value = 0.0
[]
[fix_porepressure]
type = FunctionDirichletBC
variable = porepressure
boundary = 'ymin ymax xmax'
function = ini_pp
[]
[roof_porepressure]
type = PorousFlowPiecewiseLinearSink
variable = porepressure
pt_vals = '-1E3 1E3'
multipliers = '-1 1'
fluid_phase = 0
flux_function = roof_conductance
boundary = roof
[]
[roof_bcs]
type = StickyBC
variable = disp_z
min_value = -3.0
boundary = roof
[]
[]
[Functions]
[ini_pp]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0'
symbol_values = '2E3 0.0 1E-5 1E3'
expression = '-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)'
[]
[ini_xx]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0 biot'
symbol_values = '2E3 0.0 1E-5 1E3 0.7'
expression = '0.8*(2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)))'
[]
[ini_zz]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0 biot'
symbol_values = '2E3 0.0 1E-5 1E3 0.7'
expression = '2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk))'
[]
[excav_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval slope'
symbol_values = '0.5 0 1000.0 1E-9 1 60'
# excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
# slope is the distance over which the modulus reduces from maxval to minval
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
[]
[density_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval'
symbol_values = '0.5 0 1000.0 0 2500'
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
[]
[roof_conductance]
type = ParsedFunction
symbol_names = 'end_t ymin ymax maxval minval'
symbol_values = '0.5 0 1000.0 1E7 0'
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),maxval,minval)'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1 # MPa^-1
[]
[mc_coh_strong_harden]
type = TensorMechanicsHardeningExponential
value_0 = 1.99 # MPa
value_residual = 2.01 # MPa
rate = 1.0
[]
[mc_fric]
type = TensorMechanicsHardeningConstant
value = 0.61 # 35deg
[]
[mc_dil]
type = TensorMechanicsHardeningConstant
value = 0.15 # 8deg
[]
[mc_tensile_str_strong_harden]
type = TensorMechanicsHardeningExponential
value_0 = 1.0 # MPa
value_residual = 1.0 # MPa
rate = 1.0
[]
[mc_compressive_str]
type = TensorMechanicsHardeningCubic
value_0 = 100 # Large!
value_residual = 100
internal_limit = 0.1
[]
[wp_coh_harden]
type = TensorMechanicsHardeningCubic
value_0 = 0.05
value_residual = 0.05
internal_limit = 10
[]
[wp_tan_fric]
type = TensorMechanicsHardeningConstant
value = 0.26 # 15deg
[]
[wp_tan_dil]
type = TensorMechanicsHardeningConstant
value = 0.18 # 10deg
[]
[wp_tensile_str_harden]
type = TensorMechanicsHardeningCubic
value_0 = 0.05
value_residual = 0.05
internal_limit = 10
[]
[wp_compressive_str_soften]
type = TensorMechanicsHardeningCubic
value_0 = 100
value_residual = 1
internal_limit = 1.0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 2E3
density0 = 1000
thermal_expansion = 0
viscosity = 3.5E-17
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity_bulk]
type = PorousFlowPorosity
fluid = true
mechanical = true
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
ensure_positive = true
porosity_zero = 0.02
solid_bulk = 5.3333E3
[]
[porosity_excav]
type = PorousFlowPorosityConst
block = 1
porosity = 1.0
[]
[permeability_bulk]
type = PorousFlowPermeabilityKozenyCarman
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
poroperm_function = kozeny_carman_phi0
k0 = 1E-15
phi0 = 0.02
n = 2
m = 2
[]
[permeability_excav]
type = PorousFlowPermeabilityConst
block = 1
permeability = '0 0 0 0 0 0 0 0 0'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 4
s_res = 0.4
sum_s_res = 0.4
phase = 0
[]
[elasticity_tensor_0]
type = ComputeLayeredCosseratElasticityTensor
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
[]
[elasticity_tensor_1]
type = ComputeLayeredCosseratElasticityTensor
block = 1
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
elasticity_tensor_prefactor = excav_sideways
[]
[strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[]
[ini_stress]
type = ComputeEigenstrainFromInitialStress
eigenstrain_name = ini_stress
initial_stress = 'ini_xx 0 0 0 ini_xx 0 0 0 ini_zz'
[]
[stress_0]
type = ComputeMultipleInelasticCosseratStress
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
inelastic_models = 'mc wp'
cycle_models = true
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[]
[stress_1]
type = ComputeMultipleInelasticCosseratStress
block = 1
inelastic_models = ''
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[]
[mc]
type = CappedMohrCoulombCosseratStressUpdate
warn_about_precision_loss = false
host_youngs_modulus = 8E3
host_poissons_ratio = 0.25
base_name = mc
tensile_strength = mc_tensile_str_strong_harden
compressive_strength = mc_compressive_str
cohesion = mc_coh_strong_harden
friction_angle = mc_fric
dilation_angle = mc_dil
max_NR_iterations = 100000
smoothing_tol = 0.1 # MPa # Must be linked to cohesion
yield_function_tol = 1E-9 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0
[]
[wp]
type = CappedWeakPlaneCosseratStressUpdate
warn_about_precision_loss = false
base_name = wp
cohesion = wp_coh_harden
tan_friction_angle = wp_tan_fric
tan_dilation_angle = wp_tan_dil
tensile_strength = wp_tensile_str_harden
compressive_strength = wp_compressive_str_soften
max_NR_iterations = 10000
tip_smoother = 0.05
smoothing_tol = 0.05 # MPa # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
yield_function_tol = 1E-11 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0E-3
[]
[undrained_density_0]
type = GenericConstantMaterial
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
prop_names = density
prop_values = 2500
[]
[undrained_density_1]
type = GenericFunctionMaterial
block = 1
prop_names = density
prop_values = density_sideways
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Postprocessors]
[min_roof_disp]
type = NodalExtremeValue
boundary = roof
value_type = min
variable = disp_z
[]
[min_roof_pp]
type = NodalExtremeValue
boundary = roof
value_type = min
variable = porepressure
[]
[min_surface_disp]
type = NodalExtremeValue
boundary = zmax
value_type = min
variable = disp_z
[]
[min_surface_pp]
type = NodalExtremeValue
boundary = zmax
value_type = min
variable = porepressure
[]
[max_perm_zz]
type = ElementExtremeValue
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
variable = perm_zz
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason'
# best overall
# petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
# petsc_options_value = ' lu mumps'
# best if you do not have mumps:
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
# best if you do not have mumps or superlu_dist:
#petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
#petsc_options_value = ' asm 2 lu gmres 200'
# very basic:
#petsc_options_iname = '-pc_type -ksp_type -ksp_gmres_restart'
#petsc_options_value = ' bjacobi gmres 200'
line_search = bt
nl_abs_tol = 1e-3
nl_rel_tol = 1e-5
l_max_its = 200
nl_max_its = 30
start_time = 0.0
dt = 0.014706
end_time = 0.014706 #0.5
[]
[Outputs]
time_step_interval = 1
print_linear_residuals = true
exodus = true
csv = true
console = true
[](modules/porous_flow/test/tests/poro_elasticity/undrained_oedometer.i)
# An undrained oedometer test on a saturated poroelastic sample.
#
# The sample is a single unit element, with roller BCs on the sides
# and bottom. A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow.
#
# Under these conditions
# porepressure = -(Fluid bulk modulus)*log(1 - 0.01t)
# stress_xx = (bulk - 2*shear/3)*disp_z/L (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*disp_z/L (remember this is effective stress)
# where L is the height of the sample (L=1 in this test)
#
# Parameters:
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 1
#
# Desired output:
# zdisp = -0.01*t
# p0 = 1*log(1-0.01t)
# stress_xx = stress_yy = -0.01*t
# stress_zz = -0.04*t
#
# Regarding the "log" - it just comes from conserving fluid mass
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_z
function = -0.01*t
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst
porosity = 0.1
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.8
alpha = 1
[]
[]
[Postprocessors]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
[]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = undrained_oedometer
[csv]
type = CSV
[]
[](modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined.i)
# A sample is constrained on all sides, except its top
# and its boundaries are
# also impermeable. Fluid is pumped into the sample via a
# volumetric source (ie kg/second per cubic meter), and the
# rise in the top surface, porepressure, and stress are observed.
#
# In the standard poromechanics scenario, the Biot Modulus is held
# fixed and the source has units 1/time. Then the expected result
# is
# strain_zz = disp_z = BiotCoefficient*BiotModulus*s*t/((bulk + 4*shear/3) + BiotCoefficient^2*BiotModulus)
# porepressure = BiotModulus*(s*t - BiotCoefficient*strain_zz)
# stress_xx = (bulk - 2*shear/3)*strain_zz (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*strain_zz (remember this is effective stress)
#
# In porous_flow, however, the source has units kg/s/m^3 and the
# Biot Modulus is not held fixed. This means that disp_z, porepressure,
# etc are not linear functions of t. Nevertheless, the ratios remain
# fixed:
# stress_xx/strain_zz = (bulk - 2*shear/3) = 1 (for the parameters used here)
# stress_zz/strain_zz = (bulk + 4*shear/3) = 4 (for the parameters used here)
# porepressure/strain_zz = 13.3333333 (for the parameters used here)
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.8
alpha = 1e-5
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[source]
type = BodyForce
function = 0.1
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 3.3333333333
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.3
solid_bulk = 2
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1 0 0 0 1 0 0 0 1' # unimportant
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = none
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = none
point = '0 0 0.5'
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = none
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = none
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = none
point = '0 0 0'
variable = stress_zz
[]
[stress_xx_over_strain]
type = FunctionValuePostprocessor
function = stress_xx_over_strain_fcn
outputs = csv
[]
[stress_zz_over_strain]
type = FunctionValuePostprocessor
function = stress_zz_over_strain_fcn
outputs = csv
[]
[p_over_strain]
type = FunctionValuePostprocessor
function = p_over_strain_fcn
outputs = csv
[]
[]
[Functions]
[stress_xx_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_xx zdisp'
[]
[stress_zz_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_zz zdisp'
[]
[p_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'p0 zdisp'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = pp_generation_unconfined
[csv]
type = CSV
[]
[](modules/porous_flow/test/tests/jacobian/mass_vol_exp03.i)
# Tests the PorousFlowMassVolumetricExpansion kernel
# Fluid with constant bulk modulus, van-Genuchten capillary, HM porosity, multiply_by_density = false
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
block = 0
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[ICs]
[disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[]
[disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[]
[disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[]
[p]
type = RandomIC
min = -1
max = 1
variable = porepressure
[]
[]
[BCs]
# necessary otherwise volumetric strain rate will be zero
[disp_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[disp_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left right'
[]
[disp_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left right'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y disp_z'
component = 2
[]
[poro]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = porepressure
multiply_by_density = false
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1E-5
[]
[Outputs]
execute_on = 'timestep_end'
file_base = jacobian2
exodus = false
[](modules/porous_flow/test/tests/poro_elasticity/terzaghi.i)
# Terzaghi's problem of consolodation of a drained medium
#
# A saturated soil sample sits in a bath of water.
# It is constrained on its sides, and bottom.
# Its sides and bottom are also impermeable.
# Initially it is unstressed.
# A normal stress, q, is applied to the soil's top.
# The soil then slowly compresses as water is squeezed
# out from the sample from its top (the top BC for
# the porepressure is porepressure = 0).
#
# See, for example. Section 2.2 of the online manuscript
# Arnold Verruijt "Theory and Problems of Poroelasticity" Delft University of Technology 2013
# but note that the "sigma" in that paper is the negative
# of the stress in TensorMechanics
#
# Here are the problem's parameters, and their values:
# Soil height. h = 10
# Soil's Lame lambda. la = 2
# Soil's Lame mu, which is also the Soil's shear modulus. mu = 3
# Soil bulk modulus. K = la + 2*mu/3 = 4
# Soil confined compressibility. m = 1/(K + 4mu/3) = 0.125
# Soil bulk compliance. 1/K = 0.25
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Soil initial storativity, which is the reciprocal of the initial Biot modulus. S = phi0/Kf + (alpha - phi0)(1 - alpha)/K = 0.0625
# Consolidation coefficient. c = k/(S + alpha^2 m) = 13.95348837
# Normal stress on top. q = 1
# Initial porepressure, resulting from instantaneous application of q, assuming corresponding instantaneous increase of porepressure (Note that this is calculated by MOOSE: we only need it for the analytical solution). p0 = alpha*m*q/(S + alpha^2 m) = 0.69767442
# Initial vertical displacement (down is positive), resulting from instantaneous application of q (Note this is calculated by MOOSE: we only need it for the analytical solution). uz0 = q*m*h*S/(S + alpha^2 m)
# Final vertical displacement (down in positive) (Note this is calculated by MOOSE: we only need it for the analytical solution). uzinf = q*m*h
#
# The solution for porepressure is
# P = 4*p0/\pi \sum_{k=1}^{\infty} \frac{(-1)^{k-1}}{2k-1} \cos ((2k-1)\pi z/(2h)) \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
# This series converges very slowly for ct/h^2 small, so in that domain
# P = p0 erf( (1-(z/h))/(2 \sqrt(ct/h^2)) )
#
# The degree of consolidation is defined as
# U = (uz - uz0)/(uzinf - uz0)
# where uz0 and uzinf are defined above, and
# uz = the vertical displacement of the top (down is positive)
# U = 1 - (8/\pi^2)\sum_{k=1}^{\infty} \frac{1}{(2k-1)^2} \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
#
# FINAL NOTE: The above solution assumes constant Biot Modulus.
# In porous_flow this is not true. Therefore the solution is
# a little different than in the paper. This test was therefore
# validated against MOOSE's poromechanics, which can choose either
# a constant Biot Modulus (which has been shown to agree with
# the analytic solution), or a non-constant Biot Modulus (which
# gives the same results as porous_flow).
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 10
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = 0
zmax = 10
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.8
alpha = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[topdrained]
type = DirichletBC
variable = porepressure
value = 0
boundary = front
[]
[topload]
type = NeumannBC
variable = disp_z
value = -1
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 0.96
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
# bulk modulus is lambda + 2*mu/3 = 2 + 2*3/3 = 4
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure_qp]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
ensure_positive = false
porosity_zero = 0.1
biot_coefficient = 0.6
solid_bulk = 4
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
use_displaced_mesh = false
[]
[p1]
type = PointValue
outputs = csv
point = '0 0 1'
variable = porepressure
use_displaced_mesh = false
[]
[p2]
type = PointValue
outputs = csv
point = '0 0 2'
variable = porepressure
use_displaced_mesh = false
[]
[p3]
type = PointValue
outputs = csv
point = '0 0 3'
variable = porepressure
use_displaced_mesh = false
[]
[p4]
type = PointValue
outputs = csv
point = '0 0 4'
variable = porepressure
use_displaced_mesh = false
[]
[p5]
type = PointValue
outputs = csv
point = '0 0 5'
variable = porepressure
use_displaced_mesh = false
[]
[p6]
type = PointValue
outputs = csv
point = '0 0 6'
variable = porepressure
use_displaced_mesh = false
[]
[p7]
type = PointValue
outputs = csv
point = '0 0 7'
variable = porepressure
use_displaced_mesh = false
[]
[p8]
type = PointValue
outputs = csv
point = '0 0 8'
variable = porepressure
use_displaced_mesh = false
[]
[p9]
type = PointValue
outputs = csv
point = '0 0 9'
variable = porepressure
use_displaced_mesh = false
[]
[p99]
type = PointValue
outputs = csv
point = '0 0 10'
variable = porepressure
use_displaced_mesh = false
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 10'
variable = disp_z
use_displaced_mesh = false
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.5*t<0.1,0.5*t,0.1)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.0001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = terzaghi
[csv]
type = CSV
[]
[](modules/porous_flow/test/tests/poro_elasticity/mandel.i)
# Mandel's problem of consolodation of a drained medium
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed. The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width. a = 1
# Soil height. b = 0.1
# Soil's Lame lambda. la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus. mu = G = 0.75
# Soil bulk modulus. K = la + 2*mu/3 = 1
# Drained Poisson ratio. nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance. 1/K = 1
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Biot modulus. M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio. nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient. B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Consolidation coefficient. c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top. F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here
#
# FINAL NOTE: The above solution assumes constant Biot Modulus.
# In porous_flow this is not true. Therefore the solution is
# a little different than in the paper. This test was therefore
# validated against MOOSE's poromechanics, which can choose either
# a constant Biot Modulus (which has been shown to agree with
# the analytic solution), or a non-constant Biot Modulus (which
# gives the same results as porous_flow).
[Mesh]
type = GeneratedMesh
dim = 3
nx = 10
ny = 1
nz = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 0.1
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.8
alpha = 1e-5
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[roller_xmin]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left'
[]
[roller_ymin]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom'
[]
[plane_strain]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[xmax_drained]
type = DirichletBC
variable = porepressure
value = 0
boundary = right
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_y
function = top_velocity
boundary = top
[]
[]
[Functions]
[top_velocity]
type = PiecewiseLinear
x = '0 0.002 0.006 0.014 0.03 0.046 0.062 0.078 0.094 0.11 0.126 0.142 0.158 0.174 0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
y = '-0.041824842 -0.042730269 -0.043412712 -0.04428867 -0.045509181 -0.04645965 -0.047268246 -0.047974749 -0.048597109 -0.0491467 -0.049632388 -0.050061697 -0.050441198 -0.050776675 -0.051073238 -0.0513354 -0.051567152 -0.051772022 -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[tot_force]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[tot_force]
type = ParsedAux
coupled_variables = 'stress_yy porepressure'
execute_on = timestep_end
variable = tot_force
expression = '-stress_yy+0.6*porepressure'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
ensure_positive = false
porosity_zero = 0.1
biot_coefficient = 0.6
solid_bulk = 1
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0.0 0 0'
variable = porepressure
[]
[p1]
type = PointValue
outputs = csv
point = '0.1 0 0'
variable = porepressure
[]
[p2]
type = PointValue
outputs = csv
point = '0.2 0 0'
variable = porepressure
[]
[p3]
type = PointValue
outputs = csv
point = '0.3 0 0'
variable = porepressure
[]
[p4]
type = PointValue
outputs = csv
point = '0.4 0 0'
variable = porepressure
[]
[p5]
type = PointValue
outputs = csv
point = '0.5 0 0'
variable = porepressure
[]
[p6]
type = PointValue
outputs = csv
point = '0.6 0 0'
variable = porepressure
[]
[p7]
type = PointValue
outputs = csv
point = '0.7 0 0'
variable = porepressure
[]
[p8]
type = PointValue
outputs = csv
point = '0.8 0 0'
variable = porepressure
[]
[p9]
type = PointValue
outputs = csv
point = '0.9 0 0'
variable = porepressure
[]
[p99]
type = PointValue
outputs = csv
point = '1 0 0'
variable = porepressure
[]
[xdisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_x
[]
[ydisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_y
[]
[total_downwards_force]
type = ElementAverageValue
outputs = csv
variable = tot_force
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.15*t<0.01,0.15*t,0.01)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'gmres asm lu 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 0.7
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = mandel
[csv]
time_step_interval = 3
type = CSV
[]
[](modules/porous_flow/test/tests/mass_conservation/mass12.i)
# The sample is an annulus in RZ coordinates.
# Roller BCs are applied to the r_min, r_max and bottom boundaries
# A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow.
# Fluid mass conservation is checked.
#
# Under these conditions
# fluid_mass = volume0 * rho0 * exp(P0/bulk) = pi*3 * 1 * exp(0.1/0.5) = 11.51145
# volume0 * rho0 * exp(P0/bulk) = volume * rho0 * exp(P/bulk), so
# P - P0 = bulk * log(volume0 / volume) = 0.5 * log(1 / (1 - 0.01*t))
[Mesh]
type = GeneratedMesh
dim = 2
nx = 1
ny = 1
xmin = 1.0
xmax = 2.0
ymin = -0.5
ymax = 0.5
coord_type = RZ
[]
[GlobalParams]
displacements = 'disp_r disp_z'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_r]
[]
[disp_z]
[]
[porepressure]
initial_condition = 0.1
[]
[]
[BCs]
[bottom_roller]
type = DirichletBC
variable = disp_z
value = 0
boundary = bottom
[]
[side_rollers]
type = DirichletBC
variable = disp_r
value = 0
boundary = 'left right'
[]
[top_move]
type = FunctionDirichletBC
variable = disp_z
function = -0.01*t
boundary = top
[]
[]
[Kernels]
[grad_stress_r]
type = StressDivergenceRZTensors
variable = disp_r
component = 0
[]
[grad_stress_z]
type = StressDivergenceRZTensors
variable = disp_z
component = 1
[]
[poro_r]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_r
component = 0
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_z
component = 1
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[]
[AuxVariables]
[stress_rr]
order = CONSTANT
family = MONOMIAL
[]
[stress_rz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_tt]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_rr]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_rr
index_i = 0
index_j = 0
[]
[stress_rz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_rz
index_i = 0
index_j = 1
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 1
index_j = 1
[]
[stress_tt]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_tt
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeAxisymmetricRZSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst
porosity = 0.1
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '0.5 0 0 0 0.5 0 0 0 0.5'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_r disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '1 0 0'
variable = porepressure
[]
[rdisp]
type = PointValue
outputs = csv
point = '2 0 0'
use_displaced_mesh = false
variable = disp_r
[]
[stress_rr]
type = PointValue
outputs = csv
point = '1 0 0'
variable = stress_rr
[]
[stress_zz]
type = PointValue
outputs = csv
point = '1 0 0'
variable = stress_zz
[]
[stress_tt]
type = PointValue
outputs = csv
point = '1 0 0'
variable = stress_tt
[]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 2
[]
[Outputs]
execute_on = 'initial timestep_end'
[csv]
type = CSV
[]
[](modules/porous_flow/test/tests/energy_conservation/heat04.i)
# The sample is a single unit element, with fixed displacements on
# all sides. A heat source of strength S (J/m^3/s) is applied into
# the element. There is no fluid flow or heat flow. The rise
# in temperature, porepressure and stress, and the change in porosity is
# matched with theory.
#
# In this case, fluid mass must be conserved, and there is no
# volumetric strain, so
# porosity * fluid_density = constant
# Also, the energy-density in the rock-fluid system increases with S:
# d/dt [(1 - porosity) * rock_density * rock_heat_cap * T + porosity * fluid_density * fluid_heat_cap * T] = S
# Also, the porosity evolves according to THM as
# porosity = biot + (porosity0 - biot) * exp( (biot - 1) * P / fluid_bulk + rock_thermal_exp * T)
# Finally, the effective stress must be exactly zero (as there is
# no strain).
#
# Let us assume that
# fluid_density = dens0 * exp(P / fluid_bulk - fluid_thermal_exp * T)
# Then the conservation of fluid mass means
# porosity = por0 * exp(- P / fluid_bulk + fluid_thermal_exp * T)
# where dens0 * por0 = the initial fluid mass.
# The last expression for porosity, combined with the THM one,
# and assuming that biot = 1 for simplicity, gives
# porosity = 1 + (porosity0 - 1) * exp(rock_thermal_exp * T) = por0 * exp(- P / fluid_bulk + fluid_thermal_exp * T) .... (A)
#
# This stuff may be substituted into the heat energy-density equation:
# S = d/dt [(1 - porosity0) * exp(rock_thermal_exp * T) * rock_density * rock_heat_cap * T + porosity * fluid_density * fluid_heat_cap * T]
#
# If S is constant then
# S * t = (1 - porosity0) * exp(rock_thermal_exp * T) * rock_density * rock_heat_cap * T + porosity * fluid_density * fluid_heat_cap * T
# with T(t=0) = 0 then Eqn(A) implies that por0 = porosity0 and
# P / fluid_bulk = fluid_thermal_exp * T - log(1 + (por0 - 1) * exp(rock_thermal_exp * T)) + log(por0)
#
# Parameters:
# A = 2
# fluid_bulk = 2.0
# dens0 = 3.0
# fluid_thermal_exp = 0.5
# fluid_heat_cap = 2
# por0 = 0.5
# rock_thermal_exp = 0.25
# rock_density = 5
# rock_heat_capacity = 0.2
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[FluidProperties]
[the_simple_fluid]
type = SimpleFluidProperties
thermal_expansion = 0.5
cv = 2
cp = 2
bulk_modulus = 2.0
density0 = 3.0
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
[]
[temp]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 1.0
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 1.0
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 1.0
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = pp
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
[]
[temp]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[poro_vol_exp_temp]
type = PorousFlowHeatVolumetricExpansion
variable = temp
[]
[heat_source]
type = BodyForce
function = 1
variable = temp
[]
[]
[Functions]
[err_T_fcn]
type = ParsedFunction
symbol_names = 'por0 rte temp rd rhc m0 fhc source'
symbol_values = '0.5 0.25 t0 5 0.2 1.5 2 1'
expression = '((1-por0)*exp(rte*temp)*rd*rhc*temp+m0*fhc*temp-source*t)/(source*t)'
[]
[err_pp_fcn]
type = ParsedFunction
symbol_names = 'por0 rte temp rd rhc m0 fhc source bulk pp fte'
symbol_values = '0.5 0.25 t0 5 0.2 1.5 2 1 2 p0 0.5'
expression = '(bulk*(fte*temp-log(1+(por0-1)*exp(rte*temp))+log(por0))-pp)/pp'
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[porosity]
type = PorousFlowPropertyAux
property = porosity
variable = porosity
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'temp pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[porosity]
type = PorousFlowPorosity
thermal = true
fluid = true
mechanical = true
ensure_positive = false
biot_coefficient = 1.0
porosity_zero = 0.5
thermal_expansion_coeff = 0.25
solid_bulk = 2
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 0.2
density = 5.0
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
temperature_unit = Kelvin
fp = the_simple_fluid
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = 'console csv'
execute_on = 'timestep_end'
point = '0 0 0'
variable = pp
[]
[t0]
type = PointValue
outputs = 'console csv'
execute_on = 'timestep_end'
point = '0 0 0'
variable = temp
[]
[porosity]
type = PointValue
outputs = 'console csv'
execute_on = 'timestep_end'
point = '0 0 0'
variable = porosity
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'timestep_end'
outputs = 'console csv'
[]
[total_heat]
type = PorousFlowHeatEnergy
phase = 0
execute_on = 'timestep_end'
outputs = 'console csv'
[]
[err_T]
type = FunctionValuePostprocessor
function = err_T_fcn
[]
[err_P]
type = FunctionValuePostprocessor
function = err_pp_fcn
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-12 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1
end_time = 5
[]
[Outputs]
execute_on = 'initial timestep_end'
file_base = heat04
[csv]
type = CSV
[]
[](modules/porous_flow/examples/tutorial/11_2D.i)
# Two-phase borehole injection problem in RZ coordinates
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 10
xmin = 1.0
xmax = 10
bias_x = 1.4
ny = 3
ymin = -6
ymax = 6
[]
[aquifer]
input = gen
type = SubdomainBoundingBoxGenerator
block_id = 1
bottom_left = '0 -2 0'
top_right = '10 2 0'
[]
[injection_area]
type = ParsedGenerateSideset
combinatorial_geometry = 'x<1.0001'
included_subdomains = 1
new_sideset_name = 'injection_area'
input = 'aquifer'
[]
[rename]
type = RenameBlockGenerator
old_block = '0 1'
new_block = 'caps aquifer'
input = 'injection_area'
[]
coord_type = RZ
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pwater pgas T disp_r'
number_fluid_phases = 2
number_fluid_components = 2
[]
[pc]
type = PorousFlowCapillaryPressureVG
alpha = 1E-6
m = 0.6
[]
[]
[GlobalParams]
displacements = 'disp_r disp_z'
gravity = '0 0 0'
biot_coefficient = 1.0
PorousFlowDictator = dictator
[]
[Variables]
[pwater]
initial_condition = 20E6
[]
[pgas]
initial_condition = 20.1E6
[]
[T]
initial_condition = 330
scaling = 1E-5
[]
[disp_r]
scaling = 1E-5
[]
[]
[Kernels]
[mass_water_dot]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pwater
[]
[flux_water]
type = PorousFlowAdvectiveFlux
fluid_component = 0
use_displaced_mesh = false
variable = pwater
[]
[vol_strain_rate_water]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = pwater
[]
[mass_co2_dot]
type = PorousFlowMassTimeDerivative
fluid_component = 1
variable = pgas
[]
[flux_co2]
type = PorousFlowAdvectiveFlux
fluid_component = 1
use_displaced_mesh = false
variable = pgas
[]
[vol_strain_rate_co2]
type = PorousFlowMassVolumetricExpansion
fluid_component = 1
variable = pgas
[]
[energy_dot]
type = PorousFlowEnergyTimeDerivative
variable = T
[]
[advection]
type = PorousFlowHeatAdvection
use_displaced_mesh = false
variable = T
[]
[conduction]
type = PorousFlowHeatConduction
use_displaced_mesh = false
variable = T
[]
[vol_strain_rate_heat]
type = PorousFlowHeatVolumetricExpansion
variable = T
[]
[grad_stress_r]
type = StressDivergenceRZTensors
temperature = T
variable = disp_r
eigenstrain_names = thermal_contribution
use_displaced_mesh = false
component = 0
[]
[poro_r]
type = PorousFlowEffectiveStressCoupling
variable = disp_r
use_displaced_mesh = false
component = 0
[]
[]
[AuxVariables]
[disp_z]
[]
[effective_fluid_pressure]
family = MONOMIAL
order = CONSTANT
[]
[mass_frac_phase0_species0]
initial_condition = 1 # all water in phase=0
[]
[mass_frac_phase1_species0]
initial_condition = 0 # no water in phase=1
[]
[sgas]
family = MONOMIAL
order = CONSTANT
[]
[swater]
family = MONOMIAL
order = CONSTANT
[]
[stress_rr]
family = MONOMIAL
order = CONSTANT
[]
[stress_tt]
family = MONOMIAL
order = CONSTANT
[]
[stress_zz]
family = MONOMIAL
order = CONSTANT
[]
[porosity]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[effective_fluid_pressure]
type = ParsedAux
coupled_variables = 'pwater pgas swater sgas'
expression = 'pwater * swater + pgas * sgas'
variable = effective_fluid_pressure
[]
[swater]
type = PorousFlowPropertyAux
variable = swater
property = saturation
phase = 0
execute_on = timestep_end
[]
[sgas]
type = PorousFlowPropertyAux
variable = sgas
property = saturation
phase = 1
execute_on = timestep_end
[]
[stress_rr_aux]
type = RankTwoAux
variable = stress_rr
rank_two_tensor = stress
index_i = 0
index_j = 0
[]
[stress_tt]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_tt
index_i = 2
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 1
index_j = 1
[]
[porosity]
type = PorousFlowPropertyAux
variable = porosity
property = porosity
execute_on = timestep_end
[]
[]
[BCs]
[pinned_top_bottom_r]
type = DirichletBC
variable = disp_r
value = 0
boundary = 'top bottom'
[]
[cavity_pressure_r]
type = Pressure
boundary = injection_area
variable = disp_r
postprocessor = constrained_effective_fluid_pressure_at_wellbore
use_displaced_mesh = false
[]
[cold_co2]
type = DirichletBC
boundary = injection_area
variable = T
value = 290 # injection temperature
use_displaced_mesh = false
[]
[constant_co2_injection]
type = PorousFlowSink
boundary = injection_area
variable = pgas
fluid_phase = 1
flux_function = -1E-4
use_displaced_mesh = false
[]
[outer_water_removal]
type = PorousFlowPiecewiseLinearSink
boundary = right
variable = pwater
fluid_phase = 0
pt_vals = '0 1E9'
multipliers = '0 1E8'
PT_shift = 20E6
use_mobility = true
use_relperm = true
use_displaced_mesh = false
[]
[outer_co2_removal]
type = PorousFlowPiecewiseLinearSink
boundary = right
variable = pgas
fluid_phase = 1
pt_vals = '0 1E9'
multipliers = '0 1E8'
PT_shift = 20.1E6
use_mobility = true
use_relperm = true
use_displaced_mesh = false
[]
[]
[FluidProperties]
[true_water]
type = Water97FluidProperties
[]
[tabulated_water]
type = TabulatedBicubicFluidProperties
fp = true_water
temperature_min = 275
pressure_max = 1E8
fluid_property_output_file = water97_tabulated_11.csv
# Comment out the fp parameter and uncomment below to use the newly generated tabulation
# fluid_property_file = water97_tabulated_11.csv
[]
[true_co2]
type = CO2FluidProperties
[]
[tabulated_co2]
type = TabulatedBicubicFluidProperties
fp = true_co2
temperature_min = 275
pressure_max = 1E8
fluid_property_output_file = co2_tabulated_11.csv
# Comment out the fp parameter and uncomment below to use the newly generated tabulation
# fluid_property_file = co2_tabulated_11.csv
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = T
[]
[saturation_calculator]
type = PorousFlow2PhasePP
phase0_porepressure = pwater
phase1_porepressure = pgas
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
mass_fraction_vars = 'mass_frac_phase0_species0 mass_frac_phase1_species0'
[]
[water]
type = PorousFlowSingleComponentFluid
fp = tabulated_water
phase = 0
[]
[co2]
type = PorousFlowSingleComponentFluid
fp = tabulated_co2
phase = 1
[]
[relperm_water]
type = PorousFlowRelativePermeabilityCorey
n = 4
s_res = 0.1
sum_s_res = 0.2
phase = 0
[]
[relperm_co2]
type = PorousFlowRelativePermeabilityBC
nw_phase = true
lambda = 2
s_res = 0.1
sum_s_res = 0.2
phase = 1
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
thermal = true
porosity_zero = 0.1
reference_temperature = 330
reference_porepressure = 20E6
thermal_expansion_coeff = 15E-6 # volumetric
solid_bulk = 8E9 # unimportant since biot = 1
[]
[permeability_aquifer]
type = PorousFlowPermeabilityKozenyCarman
block = aquifer
poroperm_function = kozeny_carman_phi0
phi0 = 0.1
n = 2
m = 2
k0 = 1E-12
[]
[permeability_caps]
type = PorousFlowPermeabilityKozenyCarman
block = caps
poroperm_function = kozeny_carman_phi0
phi0 = 0.1
n = 2
m = 2
k0 = 1E-15
k_anisotropy = '1 0 0 0 1 0 0 0 0.1'
[]
[rock_thermal_conductivity]
type = PorousFlowThermalConductivityIdeal
dry_thermal_conductivity = '2 0 0 0 2 0 0 0 2'
[]
[rock_internal_energy]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1100
density = 2300
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 5E9
poissons_ratio = 0.0
[]
[strain]
type = ComputeAxisymmetricRZSmallStrain
eigenstrain_names = 'thermal_contribution initial_stress'
[]
[thermal_contribution]
type = ComputeThermalExpansionEigenstrain
temperature = T
thermal_expansion_coeff = 5E-6 # this is the linear thermal expansion coefficient
eigenstrain_name = thermal_contribution
stress_free_temperature = 330
[]
[initial_strain]
type = ComputeEigenstrainFromInitialStress
initial_stress = '20E6 0 0 0 20E6 0 0 0 20E6'
eigenstrain_name = initial_stress
[]
[stress]
type = ComputeLinearElasticStress
[]
[effective_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[volumetric_strain]
type = PorousFlowVolumetricStrain
[]
[]
[Postprocessors]
[effective_fluid_pressure_at_wellbore]
type = PointValue
variable = effective_fluid_pressure
point = '1 0 0'
execute_on = timestep_begin
use_displaced_mesh = false
[]
[constrained_effective_fluid_pressure_at_wellbore]
type = FunctionValuePostprocessor
function = constrain_effective_fluid_pressure
execute_on = timestep_begin
[]
[]
[Functions]
[constrain_effective_fluid_pressure]
type = ParsedFunction
symbol_names = effective_fluid_pressure_at_wellbore
symbol_values = effective_fluid_pressure_at_wellbore
expression = 'max(effective_fluid_pressure_at_wellbore, 20E6)'
[]
[]
[Preconditioning]
active = basic
[basic]
type = SMP
full = true
petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
petsc_options_value = ' asm lu NONZERO 2'
[]
[preferred_but_might_not_be_installed]
type = SMP
full = true
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu mumps'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
end_time = 1E3
[TimeStepper]
type = IterationAdaptiveDT
dt = 1E3
growth_factor = 1.2
optimal_iterations = 10
[]
nl_abs_tol = 1E-7
[]
[Outputs]
exodus = true
[]