# PorousFlowPermeabilityKozenyCarman

This Material calculates the permeability tensor from a form of the Kozeny-Carman equation, k = k_ijk * A * phin / (1 - phi)m, where k_ijk is a tensor providing the anisotropy, phi is porosity, n and m are positive scalar constants and A is given in one of the following forms: A = k0 * (1 - phi0)^m / phi0^n (where k0 and phi0 are a reference permeability and porosity) or A = f * d^2 (where f is a scalar constant and d is grain diameter.

Permeability is calculated from porosity using (1) where and are user-defined constants.

Input can be entered in one of two forms depending on the value of poroperm_function

Input format

poroperm_functioninput format
kozeny_carman_fd2
kozeny_carman_fd2

The parameters and are then converted to the correct form internally.

## Input Parameters

• m(1-porosity) exponent

C++ Type:double

Options:

Description:(1-porosity) exponent

• PorousFlowDictatorThe UserObject that holds the list of PorousFlow variable names

C++ Type:UserObjectName

Options:

Description:The UserObject that holds the list of PorousFlow variable names

• nPorosity exponent

C++ Type:double

Options:

Description:Porosity exponent

### Required Parameters

• at_nodesFalseEvaluate Material properties at nodes instead of quadpoints

Default:False

C++ Type:bool

Options:

Description:Evaluate Material properties at nodes instead of quadpoints

• poroperm_functionkozeny_carman_fd2Function relating porosity and permeability. The options are: kozeny_carman_fd2 = f d^2 phi^n/(1-phi)^m (where phi is porosity, f is a scalar constant with typical values 0.01-0.001, and d is grain size). kozeny_carman_phi0 = k0 (1-phi0)^m/phi0^n * phi^n/(1-phi)^m (where phi is porosity, and k0 is the permeability at porosity phi0)

Default:kozeny_carman_fd2

C++ Type:MooseEnum

Options:kozeny_carman_fd2 kozeny_carman_phi0

Description:Function relating porosity and permeability. The options are: kozeny_carman_fd2 = f d^2 phi^n/(1-phi)^m (where phi is porosity, f is a scalar constant with typical values 0.01-0.001, and d is grain size). kozeny_carman_phi0 = k0 (1-phi0)^m/phi0^n * phi^n/(1-phi)^m (where phi is porosity, and k0 is the permeability at porosity phi0)

• computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the Material via MaterialPropertyInterface::getMaterial(). Non-computed Materials are not sorted for dependencies.

Default:True

C++ Type:bool

Options:

Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the Material via MaterialPropertyInterface::getMaterial(). Non-computed Materials are not sorted for dependencies.

• dThe grain diameter, required for kozeny_carman_fd2

C++ Type:double

Options:

Description:The grain diameter, required for kozeny_carman_fd2

• fThe multiplying factor, required for kozeny_carman_fd2

C++ Type:double

Options:

Description:The multiplying factor, required for kozeny_carman_fd2

• k0The permeability scalar value (usually in m^2) at the reference porosity, required for kozeny_carman_phi0

C++ Type:double

Options:

Description:The permeability scalar value (usually in m^2) at the reference porosity, required for kozeny_carman_phi0

• blockThe list of block ids (SubdomainID) that this object will be applied

C++ Type:std::vector

Options:

Description:The list of block ids (SubdomainID) that this object will be applied

• phi0The reference porosity, required for kozeny_carman_phi0

C++ Type:double

Options:

Description:The reference porosity, required for kozeny_carman_phi0

• boundaryThe list of boundary IDs from the mesh where this boundary condition applies

C++ Type:std::vector

Options:

Description:The list of boundary IDs from the mesh where this boundary condition applies

• k_anisotropyA tensor to multiply the calculated scalar permeability, in order to obtain anisotropy if required. Defaults to isotropic permeability if not specified.

C++ Type:libMesh::TensorValue

Options:

Description:A tensor to multiply the calculated scalar permeability, in order to obtain anisotropy if required. Defaults to isotropic permeability if not specified.

### Optional Parameters

• enableTrueSet the enabled status of the MooseObject.

Default:True

C++ Type:bool

Options:

Description:Set the enabled status of the MooseObject.

• 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

Options:

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.

• control_tagsAdds user-defined labels for accessing object parameters via control logic.

C++ Type:std::vector

Options:

Description:Adds user-defined labels for accessing object parameters via control logic.

• seed0The seed for the master random number generator

Default:0

C++ Type:unsigned int

Options:

Description:The seed for the master random number generator

• implicitTrueDetermines whether this object is calculated using an implicit or explicit form

Default:True

C++ Type:bool

Options:

Description:Determines whether this object is calculated using an implicit or explicit form

• 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 computeSubdomainProperties() 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

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 computeSubdomainProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped

• output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)

C++ Type:std::vector

Options:

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

Options:

Description:Vector of output names were you would like to restrict the output of variables(s) associated with this object