Detailed Description

Kozeny-Carman equation.

\[ k = k_0 \left( \frac{1 - \phi_0}{1 - \phi} \right)^2 \left( \frac{\phi}{\phi_0} \right)^3, \]

where \(k\) is the permeability, \(k_0\) is the initial permeability, \(\phi\) is the porosity, and \(\phi_0\) is the initial porosity.

Definition at line 28 of file KozenyCarmanModel.h.

#include <KozenyCarmanModel.h>

Inheritance diagram for MaterialPropertyLib::KozenyCarmanModel:

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Collaboration diagram for MaterialPropertyLib::KozenyCarmanModel:

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Public Member Functions
	KozenyCarmanModel (ParameterLib::Parameter< double > const &k0, ParameterLib::Parameter< double > const &phi0)

PropertyDataType	value (MaterialPropertyLib::VariableArray const &variable_array, ParameterLib::SpatialPosition const &pos, double const t, double const) const override

Public Member Functions inherited from MaterialPropertyLib::Property
virtual	~Property ()

virtual PropertyDataType	initialValue (ParameterLib::SpatialPosition const &pos, double const t) const

virtual PropertyDataType	value () const

virtual PropertyDataType	value (VariableArray const &variable_array, VariableArray const &variable_array_prev, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const

virtual PropertyDataType	dValue (VariableArray const &variable_array, VariableArray const &variable_array_prev, Variable const variable, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const

virtual PropertyDataType	dValue (VariableArray const &variable_array, Variable const variable, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const

virtual PropertyDataType	d2Value (VariableArray const &variable_array, Variable const variable1, Variable const variable2, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const
	Default implementation: 2nd derivative of any constant property is zero.

virtual void	setProperties (std::vector< std::unique_ptr< Phase > > const &phases)
	Default implementation:

void	setScale (std::variant< Medium , Phase , Component * > scale)

template<typename T >
T	initialValue (ParameterLib::SpatialPosition const &pos, double const t) const

template<typename T >
T	value () const

template<typename T >
T	value (VariableArray const &variable_array, VariableArray const &variable_array_prev, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const

template<typename T >
T	value (VariableArray const &variable_array, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const

template<typename T >
T	dValue (VariableArray const &variable_array, VariableArray const &variable_array_prev, Variable const variable, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const

template<typename T >
T	dValue (VariableArray const &variable_array, Variable const variable, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const

template<typename T >
T	d2Value (VariableArray const &variable_array, Variable const &variable1, Variable const &variable2, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const

Private Attributes
ParameterLib::Parameter< double > const &	_k0
	Initial medium permeability.

ParameterLib::Parameter< double > const &	_phi0
	Initial porosity.

Additional Inherited Members
Protected Attributes inherited from MaterialPropertyLib::Property
std::string	name_

PropertyDataType	value_
	The single value of a property.

PropertyDataType	dvalue_

std::variant< Medium , Phase , Component * >	scale_

Constructor & Destructor Documentation

◆ KozenyCarmanModel()

MaterialPropertyLib::KozenyCarmanModel::KozenyCarmanModel	(	ParameterLib::Parameter< double > const &	k0,
		ParameterLib::Parameter< double > const &	phi0 )

inlineexplicit

Definition at line 31 of file KozenyCarmanModel.h.

        : _k0(k0), _phi0(phi0)
    {
    }

Member Function Documentation

◆ value()

PropertyDataType MaterialPropertyLib::KozenyCarmanModel::value	(	MaterialPropertyLib::VariableArray const &	variable_array,
		ParameterLib::SpatialPosition const &	pos,
		double const	t,
		double const	dt ) const

overridevirtual

This virtual method will compute the property value based on the variables that are passed as arguments with the default implementation using empty variables array for the previous time step.

Reimplemented from MaterialPropertyLib::Property.

Definition at line 18 of file KozenyCarmanModel.cpp.

{
    double const phi = variable_array.porosity;
    auto const& k0 = _k0(t, pos);
 
    std::vector<double> k;
    k.reserve(k0.size());
    std::transform(k0.cbegin(), k0.cend(), std::back_inserter(k),
                   [&](auto const& k_component)
                   {
                       return k_component *
                              std::pow((1 - _phi0(t, pos)[0]) / (1 - phi), 2) *
                              std::pow(phi / _phi0(t, pos)[0], 3);
                   });
 
    return fromVector(k);
}

References _k0, MaterialPropertyLib::fromVector(), and MaterialPropertyLib::VariableArray::porosity.

Member Data Documentation

◆ _k0

ParameterLib::Parameter<double> const& MaterialPropertyLib::KozenyCarmanModel::_k0

private

Initial medium permeability.

Definition at line 44 of file KozenyCarmanModel.h.

Referenced by value().

◆ _phi0

ParameterLib::Parameter<double> const& MaterialPropertyLib::KozenyCarmanModel::_phi0

private

Initial porosity.

Definition at line 46 of file KozenyCarmanModel.h.

The documentation for this class was generated from the following files:

MaterialLib/MPL/Properties/KozenyCarmanModel.h
MaterialLib/MPL/Properties/KozenyCarmanModel.cpp