MaterialPropertyLib::RelPermLiakopoulos Class Reference

Detailed Description

Relative permeability function for the wetting phase of the Liakopoulos experiment.

This property must be a medium property, it computes the permeability reduction due to saturation as function of capillary pressure.

The relative permeability is given by an empirical formula

\[k^{\mathrm{rel}}_{\mathrm{L}}=1 - 2.207(1 - s_L)^{1.0121}\]

with effective saturation

\[s_{\mathrm{e}}=\frac{s_{\mathrm{L}}-s^{\mathrm{r}}_{\mathrm{L}}}{1 - s^{\mathrm{r}}_{\mathrm{L}}}\]

where

\[\lambda=3.0\]

\[s^{\mathrm{r}}_{\mathrm{L}}=0.2\]

Definition at line 43 of file RelPermLiakopoulos.h.

#include <RelPermLiakopoulos.h>

Inheritance diagram for MaterialPropertyLib::RelPermLiakopoulos:

Collaboration diagram for MaterialPropertyLib::RelPermLiakopoulos:

Public Member Functions
	RelPermLiakopoulos (std::string name)
void	checkScale () const override
PropertyDataType	value (VariableArray const &variable_array, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const override
PropertyDataType	dValue (VariableArray const &variable_array, Variable const variable, ParameterLib::SpatialPosition const &pos, double const t, double const dt) 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	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. More...
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
const double	residual_liquid_saturation_ = 0.2
const double	maximal_liquid_saturation_ = 1.
const double	parameter_a_ = 2.207
const double	parameter_b_ = 1.0121

Additional Inherited Members
Protected Attributes inherited from MaterialPropertyLib::Property
std::string	name_
PropertyDataType	value_
	The single value of a property. More...
PropertyDataType	dvalue_
std::variant< Medium *, Phase *, Component * >	scale_

Constructor & Destructor Documentation

RelPermLiakopoulos()

MaterialPropertyLib::RelPermLiakopoulos::RelPermLiakopoulos ( std::string  name )

explicit

Definition at line 23 of file RelPermLiakopoulos.cpp.

{
    name_ = std::move(name);
}

References MaterialPropertyLib::name, and MaterialPropertyLib::Property::name_.

Member Function Documentation

checkScale()

void MaterialPropertyLib::RelPermLiakopoulos::checkScale ( ) const

inlineoverridevirtual

Reimplemented from MaterialPropertyLib::Property.

Definition at line 63 of file RelPermLiakopoulos.h.

    {
        if (!std::holds_alternative<Medium*>(scale_))
        {
            OGS_FATAL(
                "The property 'RelPermLiakopoulos' is implemented on the "
                "'media' scale only.");
        }
    }

References OGS_FATAL, and MaterialPropertyLib::Property::scale_.

dValue()

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

overridevirtual

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

The default implementation of this method only returns the property value derivative without altering it.

here, an extra computation of saturation is forced, guaranteeing a correct value. In order to speed up the computing time, saturation could be inserted into the primary variable array after it is computed in the FEM assembly.

Reimplemented from MaterialPropertyLib::Property.

Definition at line 64 of file RelPermLiakopoulos.cpp.

{
    if (variable != Variable::liquid_saturation)
    {
        OGS_FATAL(
            "RelPermLiakopoulos::dValue is implemented for derivatives with "
            "respect to liquid saturation only.");
    }
    auto const s_L = std::visit(
        [&variable_array, &pos, t, dt](auto&& scale) -> double
        {
            return scale->property(PropertyType::saturation)
                .template value<double>(variable_array, pos, t, dt);
        },
        scale_);
    auto const s_L_res = residual_liquid_saturation_;
    auto const s_L_max = maximal_liquid_saturation_;
 
    const double s_L_within_range = std::min(std::max(s_L_res, s_L), s_L_max);
 
    auto const a = parameter_a_;
    auto const b = parameter_b_;
 
    return a * b * std::pow(1. - s_L_within_range, b - 1.);
}

References MaterialPropertyLib::liquid_saturation, maximal_liquid_saturation_, OGS_FATAL, parameter_a_, parameter_b_, residual_liquid_saturation_, MaterialPropertyLib::saturation, MathLib::LinAlg::scale(), and MaterialPropertyLib::Property::scale_.

value()

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

overridevirtual

Those methods override the base class implementations and actually compute and set the property values_ and dValues_.

here, an extra computation of saturation is forced, guaranteeing a correct value. In order to speed up the computing time, saturation could be inserted into the primary variable array after it is computed in the FEM assembly.

Reimplemented from MaterialPropertyLib::Property.

Definition at line 28 of file RelPermLiakopoulos.cpp.

{
    auto const s_L = std::visit(
        [&variable_array, &pos, t, dt](auto&& scale) -> double
        {
            return scale->property(PropertyType::saturation)
                .template value<double>(variable_array, pos, t, dt);
        },
        scale_);
    auto const s_L_res = residual_liquid_saturation_;
 
    if (s_L <= s_L_res)
    {
        return 0.0;
    }
 
    if (s_L >= 1.)
    {
        return 1.0;
    }
 
    auto const a = parameter_a_;
    auto const b = parameter_b_;
 
    auto const k_rel_LR = 1. - a * std::pow(1. - s_L, b);
 
    return std::max(k_rel_LR, 0.);
}

References parameter_a_, parameter_b_, residual_liquid_saturation_, MaterialPropertyLib::saturation, MathLib::LinAlg::scale(), and MaterialPropertyLib::Property::scale_.

Member Data Documentation

maximal_liquid_saturation_

const double MaterialPropertyLib::RelPermLiakopoulos::maximal_liquid_saturation_ = 1.

private

Definition at line 56 of file RelPermLiakopoulos.h.

Referenced by dValue().

parameter_a_

const double MaterialPropertyLib::RelPermLiakopoulos::parameter_a_ = 2.207

private

Definition at line 57 of file RelPermLiakopoulos.h.

Referenced by dValue(), and value().

parameter_b_

const double MaterialPropertyLib::RelPermLiakopoulos::parameter_b_ = 1.0121

private

Definition at line 58 of file RelPermLiakopoulos.h.

Referenced by dValue(), and value().

residual_liquid_saturation_

const double MaterialPropertyLib::RelPermLiakopoulos::residual_liquid_saturation_ = 0.2

private

Parameters for Liakopoulos relative permeability: Asadi, R., Ataie-Ashtiani, B. (2015): A Comparison of finite volume formulations and coupling strategies for two-phase flow in deforming porous media. Comput. Geosci., p. 24ff.

Those parameters are fixed for that particular model, no need to change them.

Definition at line 55 of file RelPermLiakopoulos.h.

Referenced by dValue(), and value().

---

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

• MaterialLib/MPL/Properties/RelativePermeability/RelPermLiakopoulos.h
• MaterialLib/MPL/Properties/RelativePermeability/RelPermLiakopoulos.cpp