PorousFlowHystereticRelativePermeabilityGas

This Material computes the gas relative permeability using the van Genuchten formulation. The relative permeability is assumed to be hysteretic. This Material may be used in two-phase situations only.

Along the drying curve, the relative permeability is $var element = document.getElementById("moose-equation-ec2c6380-b3c2-42a8-a3e2-4565a4f99880");katex.render("k_{r, g} = k_{r, g}^{max}\\left(1 - \\bar{S}_{l}\\right)^{\\gamma} \\left( 1- \\bar{S}_{l}^{1/m} \\right)^{2m}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ where $var element = document.getElementById("moose-equation-e4c774cd-50cf-431c-8a08-3e75dc60329d");katex.render("\\bar{S}_{l} = \\frac{S_{l} - S_{l, r}}{1 - S_{l, r}}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ In these formulae:

$var element = document.getElementById("moose-equation-d1230f5e-ecd2-4613-8297-7f066c0a7870");katex.render("S_{l}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the liquid saturation
$var element = document.getElementById("moose-equation-3ad8ad77-17de-4775-8f9a-1fa3253960d3");katex.render("S_{l, r}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the liquid residual saturation
$var element = document.getElementById("moose-equation-b1b9199f-62f2-45b2-95d0-d91f113eb641");katex.render("k_{r, g}^{max}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the value of the gas relative permeability for $var element = document.getElementById("moose-equation-c30d1567-995e-435e-a05e-a5ad6bdfd923");katex.render("S_{l} \\leq S_{l, r}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$
$var element = document.getElementById("moose-equation-45080347-1877-45d3-a56e-38b648f8a8cd");katex.render("m", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the van Genuchten exponent
$var element = document.getElementById("moose-equation-60e0a6ee-d3fd-4103-9b0d-500866ee36f8");katex.render("\\gamma", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is another exponent

See the hysteresis page for more details concerning extending the formulation in the low-saturation region ( $var element = document.getElementById("moose-equation-0e394f43-2dd8-41af-8726-aa2f9fd619b3");katex.render("S_{l} < S_{l, r}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ ) and for a definition of the wetting relative permeability.

To use this Material, it is necessary to include a PorousFlowHysteresisOrder Material, which computes and records information regarding the hysteresis order and the saturation turning points.

Input Parameters

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
S_gr_maxResidual gas saturation. For liquid saturation = 1 - S_gr_max, the gas wetting relative-permeability is zero, if the turning point was <= S_lr. 1 - S_gr_max is the maximum liquid saturation for which the van Genuchten expression is valid for the liquid relative-permeability wetting curve. You must ensure S_gr_max < 1 - S_lr. Often S_gr_max = -0.3136 * ln(porosity) - 0.1334 is used
C++ Type:double
Controllable:No
Description:Residual gas saturation. For liquid saturation = 1 - S_gr_max, the gas wetting relative-permeability is zero, if the turning point was <= S_lr. 1 - S_gr_max is the maximum liquid saturation for which the van Genuchten expression is valid for the liquid relative-permeability wetting curve. You must ensure S_gr_max < 1 - S_lr. Often S_gr_max = -0.3136 * ln(porosity) - 0.1334 is used
mvan Genuchten m parameter. Suggested value is around 0.9
C++ Type:double
Controllable:No
Description:van Genuchten m parameter. Suggested value is around 0.9
phaseThe phase number
C++ Type:unsigned int
Controllable:No
Description:The phase number

Required Parameters

S_lr0Liquid residual saturation. At liquid saturation = S_lr, the liquid relative permeability is zero and the gas relative permeability is k_rg_max. Almost definitely you need to set S_lr equal to the quantity used for your hysteretic capillary-pressure curve, if you are using one.
Default:0
C++ Type:double
Controllable:No
Description:Liquid residual saturation. At liquid saturation = S_lr, the liquid relative permeability is zero and the gas relative permeability is k_rg_max. Almost definitely you need to set S_lr equal to the quantity used for your hysteretic capillary-pressure curve, if you are using one.
at_nodesFalseEvaluate Material properties at nodes instead of quadpoints
Default:False
C++ Type:bool
Controllable:No
Description:Evaluate Material properties at nodes instead of quadpoints
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
boundaryThe list of boundaries (ids or names) from the mesh where this boundary condition applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this boundary condition applies
computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
Default:True
C++ Type:bool
Controllable:No
Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
Default:NONE
C++ Type:MooseEnum
Options:NONE, ELEMENT, SUBDOMAIN
Controllable:No
Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
declare_suffixAn optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Controllable:No
Description:An optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
gamma0.33Gamma parameter that is used for the gas relative permeability
Default:0.33
C++ Type:double
Controllable:No
Description:Gamma parameter that is used for the gas relative permeability
gas_low_extension_typelinear_likeType of extension to use for liquid saturation < S_lr for the gas relative permeability. All extensions employ a cubic whose value is 1.0 at liquid saturation = 0, and whose derivative is zero at liquid saturation = 0, and whose value is k_rg_max at liquid saturation = S_lr. linear_like: the derivative at liquid_saturation = S_lr is equal to (k_rg_max - 1) / S_lr. cubic: the derivative at liquid_saturation = S_lr equals the derivative of the unextended drying curve at that point
Default:linear_like
C++ Type:MooseEnum
Options:linear_like, cubic
Controllable:No
Description:Type of extension to use for liquid saturation < S_lr for the gas relative permeability. All extensions employ a cubic whose value is 1.0 at liquid saturation = 0, and whose derivative is zero at liquid saturation = 0, and whose value is k_rg_max at liquid saturation = S_lr. linear_like: the derivative at liquid_saturation = S_lr is equal to (k_rg_max - 1) / S_lr. cubic: the derivative at liquid_saturation = S_lr equals the derivative of the unextended drying curve at that point
k_rg_max1Value of the gas relative permeability at liquid saturation = S_lr
Default:1
C++ Type:double
Controllable:No
Description:Value of the gas relative permeability at liquid saturation = S_lr
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
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.

Optional 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.
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
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
use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Advanced Parameters

output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector<std::string>
Controllable:No
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
outputsnone Vector of output names were you would like to restrict the output of variables(s) associated with this object
Default:none
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names were you would like to restrict the output of variables(s) associated with this object

Outputs Parameters

Input Files

(modules/porous_flow/test/tests/hysteresis/2phasePS_relperm.i)
(modules/porous_flow/test/tests/hysteresis/2phasePS_relperm_2.i)
(modules/porous_flow/test/tests/hysteresis/relperm_jac_1.i)
(modules/porous_flow/test/tests/hysteresis/relperm_jac.i)

(modules/porous_flow/test/tests/hysteresis/2phasePS_relperm.i)

# Simple example of a 2-phase situation with hysteretic relative permeability.  Gas is added to and removed from the system in order to observe the hysteresis
# All liquid water exists in component 0
# All gas exists in component 1
[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    number_fluid_phases = 2
    number_fluid_components = 2
    porous_flow_vars = 'pp0 sat1'
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    alpha = 10.0
    m = 0.33
  []
[]

[Variables]
  [pp0]
  []
  [sat1]
    initial_condition = 0
  []
[]

[Kernels]
  [mass_conservation0]
    type = PorousFlowMassTimeDerivative
    fluid_component = 0
    variable = pp0
  []
  [mass_conservation1]
    type = PorousFlowMassTimeDerivative
    fluid_component = 1
    variable = sat1
  []
[]

[DiracKernels]
  [pump]
    type = PorousFlowPointSourceFromPostprocessor
    mass_flux = flux
    point = '0.5 0 0'
    variable = sat1
  []
[]

[AuxVariables]
  [massfrac_ph0_sp0]
    initial_condition = 1
  []
  [massfrac_ph1_sp0]
    initial_condition = 0
  []
  [sat0]
    family = MONOMIAL
    order = CONSTANT
  []
  [pp1]
    family = MONOMIAL
    order = CONSTANT
  []
  [hys_order]
    family = MONOMIAL
    order = CONSTANT
  []
  [relperm_liquid]
    family = MONOMIAL
    order = CONSTANT
  []
  [relperm_gas]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [sat0]
    type = PorousFlowPropertyAux
    variable = sat0
    phase = 0
    property = saturation
  []
  [relperm_liquid]
    type = PorousFlowPropertyAux
    variable = relperm_liquid
    property = relperm
    phase = 0
  []
  [relperm_gas]
    type = PorousFlowPropertyAux
    variable = relperm_gas
    property = relperm
    phase = 1
  []
  [pp1]
    type = PorousFlowPropertyAux
    variable = pp1
    phase = 1
    property = pressure
  []
  [hys_order]
    type = PorousFlowPropertyAux
    variable = hys_order
    property = hysteresis_order
  []
[]

[Modules]
  [FluidProperties]
    [simple_fluid] # same properties used for both phases
      type = SimpleFluidProperties
      bulk_modulus = 10 # so pumping does not result in excessive porepressure
    []
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosityConst
    porosity = 0.1
  []
  [temperature]
    type = PorousFlowTemperature
    temperature = 20
  []
  [massfrac]
    type = PorousFlowMassFraction
    mass_fraction_vars = 'massfrac_ph0_sp0 massfrac_ph1_sp0'
  []
  [simple_fluid0]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  []
  [simple_fluid1]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 1
  []
  [pc_calculator]
    type = PorousFlow2PhasePS
    capillary_pressure = pc
    phase0_porepressure = pp0
    phase1_saturation = sat1
  []
  [hys_order_material]
    type = PorousFlowHysteresisOrder
  []
  [relperm_liquid]
    type = PorousFlowHystereticRelativePermeabilityLiquid
    phase = 0
    S_lr = 0.1
    S_gr_max = 0.2
    m = 0.9
    liquid_modification_range = 0.9
  []
  [relperm_gas]
    type = PorousFlowHystereticRelativePermeabilityGas
    phase = 1
    S_lr = 0.1
    S_gr_max = 0.2
    m = 0.9
    gamma = 0.33
    k_rg_max = 0.8
    gas_low_extension_type = linear_like
  []
[]

[Postprocessors]
  [flux]
    type = FunctionValuePostprocessor
    function = 'if(t <= 9, 10, -10)'
  []
  [hys_order]
    type = PointValue
    point = '0 0 0'
    variable = hys_order
  []
  [sat0]
    type = PointValue
    point = '0 0 0'
    variable = sat0
  []
  [sat1]
    type = PointValue
    point = '0 0 0'
    variable = sat1
  []
  [kr_liq]
    type = PointValue
    point = '0 0 0'
    variable = relperm_liquid
  []
  [kr_gas]
    type = PointValue
    point = '0 0 0'
    variable = relperm_gas
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type -pc_factor_shift_type'
    petsc_options_value = ' lu       NONZERO'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  dt = 0.5
  end_time = 18
  nl_abs_tol = 1E-10
[]

[Outputs]
  csv = true
[]

(modules/porous_flow/test/tests/hysteresis/2phasePS_relperm_2.i)

# Simple example of a 2-phase situation with hysteretic relative permeability.  Gas is added to and removed from the system in order to observe the hysteresis
# All liquid water exists in component 0
# All gas exists in component 1
[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    number_fluid_phases = 2
    number_fluid_components = 2
    porous_flow_vars = 'pp0 sat1'
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    alpha = 10.0
    m = 0.33
  []
[]

[Variables]
  [pp0]
  []
  [sat1]
    initial_condition = 0
  []
[]

[Kernels]
  [mass_conservation0]
    type = PorousFlowMassTimeDerivative
    fluid_component = 0
    variable = pp0
  []
  [mass_conservation1]
    type = PorousFlowMassTimeDerivative
    fluid_component = 1
    variable = sat1
  []
[]

[DiracKernels]
  [pump]
    type = PorousFlowPointSourceFromPostprocessor
    mass_flux = flux
    point = '0.5 0 0'
    variable = sat1
  []
[]

[AuxVariables]
  [massfrac_ph0_sp0]
    initial_condition = 1
  []
  [massfrac_ph1_sp0]
    initial_condition = 0
  []
  [sat0]
    family = MONOMIAL
    order = CONSTANT
  []
  [pp1]
    family = MONOMIAL
    order = CONSTANT
  []
  [hys_order]
    family = MONOMIAL
    order = CONSTANT
  []
  [relperm_liquid]
    family = MONOMIAL
    order = CONSTANT
  []
  [relperm_gas]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [sat0]
    type = PorousFlowPropertyAux
    variable = sat0
    phase = 0
    property = saturation
  []
  [relperm_liquid]
    type = PorousFlowPropertyAux
    variable = relperm_liquid
    property = relperm
    phase = 0
  []
  [relperm_gas]
    type = PorousFlowPropertyAux
    variable = relperm_gas
    property = relperm
    phase = 1
  []
  [pp1]
    type = PorousFlowPropertyAux
    variable = pp1
    phase = 1
    property = pressure
  []
  [hys_order]
    type = PorousFlowPropertyAux
    variable = hys_order
    property = hysteresis_order
  []
[]

[Modules]
  [FluidProperties]
    [simple_fluid] # same properties used for both phases
      type = SimpleFluidProperties
      bulk_modulus = 10 # so pumping does not result in excessive porepressure
    []
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosityConst
    porosity = 0.1
  []
  [temperature]
    type = PorousFlowTemperature
    temperature = 20
  []
  [massfrac]
    type = PorousFlowMassFraction
    mass_fraction_vars = 'massfrac_ph0_sp0 massfrac_ph1_sp0'
  []
  [simple_fluid0]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  []
  [simple_fluid1]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 1
  []
  [pc_calculator]
    type = PorousFlow2PhasePS
    capillary_pressure = pc
    phase0_porepressure = pp0
    phase1_saturation = sat1
  []
  [hys_order_material]
    type = PorousFlowHysteresisOrder
  []
  [relperm_liquid]
    type = PorousFlowHystereticRelativePermeabilityLiquid
    phase = 0
    S_lr = 0.4
    S_gr_max = 0.2
    m = 0.9
    liquid_modification_range = 0.9
  []
  [relperm_gas]
    type = PorousFlowHystereticRelativePermeabilityGas
    phase = 1
    S_lr = 0.4
    S_gr_max = 0.2
    m = 0.9
    gamma = 0.33
    k_rg_max = 1.0
    gas_low_extension_type = linear_like
  []
[]

[Postprocessors]
  [flux]
    type = FunctionValuePostprocessor
    function = 'if(t <= 15, 20, -20)'
  []
  [hys_order]
    type = PointValue
    point = '0 0 0'
    variable = hys_order
  []
  [sat0]
    type = PointValue
    point = '0 0 0'
    variable = sat0
  []
  [sat1]
    type = PointValue
    point = '0 0 0'
    variable = sat1
  []
  [kr_liq]
    type = PointValue
    point = '0 0 0'
    variable = relperm_liquid
  []
  [kr_gas]
    type = PointValue
    point = '0 0 0'
    variable = relperm_gas
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type -pc_factor_shift_type'
    petsc_options_value = ' lu       NONZERO'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  dt = 5
  end_time = 29
  nl_abs_tol = 1E-10
[]

[Outputs]
  [csv]
    type = CSV
    sync_times = '0 1 2 3 8 12 13 14 15 16 17 18 20 24 25 26 27 28 29'
    sync_only = true
    file_base = '2phasePS_relperm_2_none'
  []
[]

(modules/porous_flow/test/tests/hysteresis/relperm_jac_1.i)

# Test of derivatives computed in PorousFlowHystereticRelativePermeability classes along first-order curve
[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
  gravity = '-1 0 0'
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    number_fluid_phases = 2
    number_fluid_components = 2
    porous_flow_vars = 'pp0 sat1'
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    alpha = 10.0
    m = 0.33
  []
[]

[Variables]
  [pp0]
  []
  [sat1]
    initial_condition = 0.5
  []
[]

[Kernels]
  [mass_conservation0]
    type = PorousFlowMassTimeDerivative
    fluid_component = 0
    variable = pp0
  []
  [flux0]
    type = PorousFlowAdvectiveFlux
    fluid_component = 0
    variable = pp0
  []
  [mass_conservation1]
    type = PorousFlowMassTimeDerivative
    fluid_component = 1
    variable = sat1
  []
  [flux1]
    type = PorousFlowAdvectiveFlux
    fluid_component = 1
    variable = sat1
  []
[]

[AuxVariables]
  [massfrac_ph0_sp0]
    initial_condition = 1
  []
  [massfrac_ph1_sp0]
    initial_condition = 0
  []
[]

[Modules]
  [FluidProperties]
    [simple_fluid_0]
      type = SimpleFluidProperties
      bulk_modulus = 10
      viscosity = 1
    []
    [simple_fluid_1]
      type = SimpleFluidProperties
      bulk_modulus = 1
      viscosity = 3
    []
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosityConst
    porosity = 0.1
  []
  [temperature]
    type = PorousFlowTemperature
  []
  [massfrac]
    type = PorousFlowMassFraction
    mass_fraction_vars = 'massfrac_ph0_sp0 massfrac_ph1_sp0'
  []
  [simple_fluid0]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid_0
    phase = 0
  []
  [simple_fluid1]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid_1
    phase = 1
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '1 0 0  0 1 0  0 0 1'
  []
  [pc_calculator]
    type = PorousFlow2PhasePS
    capillary_pressure = pc
    phase0_porepressure = pp0
    phase1_saturation = sat1
  []
  [hys_order_material]
    type = PorousFlowHysteresisOrder
    initial_order = 1
    previous_turning_points = 0.3
  []
  [relperm_liquid]
    type = PorousFlowHystereticRelativePermeabilityLiquid
    phase = 0
    S_lr = 0.1
    S_gr_max = 0.2
    m = 0.9
    liquid_modification_range = 0.9
  []
  [relperm_gas]
    type = PorousFlowHystereticRelativePermeabilityGas
    phase = 1
    S_lr = 0.1
    S_gr_max = 0.2
    m = 0.9
    gamma = 0.33
    k_rg_max = 0.8
    gas_low_extension_type = linear_like
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
    petsc_options = '-snes_check_jacobian'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  dt = 1
  end_time = 1
[]

(modules/porous_flow/test/tests/hysteresis/relperm_jac.i)

# Test of derivatives computed in PorousFlowHystereticRelativePermeability classes along zeroth-order curve
[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
  gravity = '-1 0 0'
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    number_fluid_phases = 2
    number_fluid_components = 2
    porous_flow_vars = 'pp0 sat1'
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    alpha = 10.0
    m = 0.33
  []
[]

[Variables]
  [pp0]
  []
  [sat1]
    initial_condition = 0.5
  []
[]

[Kernels]
  [mass_conservation0]
    type = PorousFlowMassTimeDerivative
    fluid_component = 0
    variable = pp0
  []
  [flux0]
    type = PorousFlowAdvectiveFlux
    fluid_component = 0
    variable = pp0
  []
  [mass_conservation1]
    type = PorousFlowMassTimeDerivative
    fluid_component = 1
    variable = sat1
  []
  [flux1]
    type = PorousFlowAdvectiveFlux
    fluid_component = 1
    variable = sat1
  []
[]

[AuxVariables]
  [massfrac_ph0_sp0]
    initial_condition = 1
  []
  [massfrac_ph1_sp0]
    initial_condition = 0
  []
[]

[Modules]
  [FluidProperties]
    [simple_fluid_0]
      type = SimpleFluidProperties
      bulk_modulus = 10
      viscosity = 1
    []
    [simple_fluid_1]
      type = SimpleFluidProperties
      bulk_modulus = 1
      viscosity = 3
    []
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosityConst
    porosity = 0.1
  []
  [temperature]
    type = PorousFlowTemperature
  []
  [massfrac]
    type = PorousFlowMassFraction
    mass_fraction_vars = 'massfrac_ph0_sp0 massfrac_ph1_sp0'
  []
  [simple_fluid0]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid_0
    phase = 0
  []
  [simple_fluid1]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid_1
    phase = 1
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '1 0 0  0 1 0  0 0 1'
  []
  [pc_calculator]
    type = PorousFlow2PhasePS
    capillary_pressure = pc
    phase0_porepressure = pp0
    phase1_saturation = sat1
  []
  [hys_order_material]
    type = PorousFlowHysteresisOrder
  []
  [relperm_liquid]
    type = PorousFlowHystereticRelativePermeabilityLiquid
    phase = 0
    S_lr = 0.1
    S_gr_max = 0.2
    m = 0.9
    liquid_modification_range = 0.9
  []
  [relperm_gas]
    type = PorousFlowHystereticRelativePermeabilityGas
    phase = 1
    S_lr = 0.1
    S_gr_max = 0.2
    m = 0.9
    gamma = 0.33
    k_rg_max = 0.8
    gas_low_extension_type = linear_like
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
    petsc_options = '-snes_check_jacobian'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  dt = 1
  end_time = 1
[]

Input Parameters
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