MaterialLib::PorousMedium::WettingPhaseBrooksCoreyOilGas Class Reference

Detailed Description

BrooksCorey oil-gas model: wetting phase.

\[k{rel}= S_e^{3 + 2 /m}\]

with

\[S_e=\frac{S-S_r}{S_{\mbox{max}}-S_r}\]

where

\begin{eqnarray*} &S_r& \mbox{ residual saturation,}\\ &S_{\mbox{max}}& \mbox{ maximum saturation,}\\ &m(>=1) & \mbox{ exponent.}\\ \end{eqnarray*}

Definition at line 34 of file WettingPhaseBrooksCoreyOilGas.h.

#include <WettingPhaseBrooksCoreyOilGas.h>

Inheritance diagram for MaterialLib::PorousMedium::WettingPhaseBrooksCoreyOilGas:

Collaboration diagram for MaterialLib::PorousMedium::WettingPhaseBrooksCoreyOilGas:

Public Member Functions
	WettingPhaseBrooksCoreyOilGas (const double Sr, const double Smax, const double m, const double krel_min)
std::string	getName () const override
	Get model name.
double	getValue (const double saturation) const override
	Get relative permeability value.
double	getdValue (const double saturation) const override
Public Member Functions inherited from MaterialLib::PorousMedium::RelativePermeability
	RelativePermeability (const double Sr, const double Smax)
virtual	~RelativePermeability ()=default

Private Attributes
const double	_m
	Exponent m, m>=1.0.
const double	_krel_min
	Minimum relative permeability.

Additional Inherited Members
Protected Attributes inherited from MaterialLib::PorousMedium::RelativePermeability
const double	_minor_offset = std::numeric_limits<double>::epsilon()
const double	_saturation_r
	Residual saturation.
const double	_saturation_max
	Maximum saturation.

Constructor & Destructor Documentation

WettingPhaseBrooksCoreyOilGas()

MaterialLib::PorousMedium::WettingPhaseBrooksCoreyOilGas::WettingPhaseBrooksCoreyOilGas ( const double Sr, const double Smax, const double m, const double krel_min )

inline

Parameters

Sr	Residual saturation, \( S_r \)
Smax	Maximum saturation, \( S_{\mbox{max}} \)
m	Exponent, \( m \)
krel_min	Minimum relative permeability, \( k_{rel}^{\mbox{min}}\)

Definition at line 43 of file WettingPhaseBrooksCoreyOilGas.h.

        : RelativePermeability(Sr, Smax), _m(m), _krel_min(krel_min)
    {
    }

Member Function Documentation

getdValue()

double MaterialLib::PorousMedium::WettingPhaseBrooksCoreyOilGas::getdValue ( const double saturation ) const

overridevirtual

Get the derivative of relative permeability with respect to saturation.

Parameters

saturation

Wetting phase saturation

Implements MaterialLib::PorousMedium::RelativePermeability.

Definition at line 31 of file WettingPhaseBrooksCoreyOilGas.cpp.

{
    const double S = std::clamp(saturation, _saturation_r + _minor_offset,
                                _saturation_max - _minor_offset);
    const double Se = (S - _saturation_r) / (_saturation_max - _saturation_r);
    return ((3.0 + 2.0 / _m) * std::pow(Se, 2.0 + 2.0 / _m)) /
           (_saturation_max - _saturation_r);
}

References _m, MaterialLib::PorousMedium::RelativePermeability::_minor_offset, MaterialLib::PorousMedium::RelativePermeability::_saturation_max, and MaterialLib::PorousMedium::RelativePermeability::_saturation_r.

getName()

std::string MaterialLib::PorousMedium::WettingPhaseBrooksCoreyOilGas::getName ( ) const

inlineoverridevirtual

Get model name.

Implements MaterialLib::PorousMedium::RelativePermeability.

Definition at line 50 of file WettingPhaseBrooksCoreyOilGas.h.

    {
        return "Wetting phase Brooks-Corey relative permeability model.";
    }

getValue()

double MaterialLib::PorousMedium::WettingPhaseBrooksCoreyOilGas::getValue ( const double saturation ) const

overridevirtual

Get relative permeability value.

Implements MaterialLib::PorousMedium::RelativePermeability.

Definition at line 22 of file WettingPhaseBrooksCoreyOilGas.cpp.

{
    const double S = std::clamp(saturation, _saturation_r + _minor_offset,
                                _saturation_max - _minor_offset);
    const double Se = (S - _saturation_r) / (_saturation_max - _saturation_r);
    const double krel = std::pow(Se, 3.0 + 2.0 / _m);
    return std::max(_krel_min, krel);
}

References _krel_min, _m, MaterialLib::PorousMedium::RelativePermeability::_minor_offset, MaterialLib::PorousMedium::RelativePermeability::_saturation_max, and MaterialLib::PorousMedium::RelativePermeability::_saturation_r.

Member Data Documentation

_krel_min

const double MaterialLib::PorousMedium::WettingPhaseBrooksCoreyOilGas::_krel_min

private

Minimum relative permeability.

Definition at line 64 of file WettingPhaseBrooksCoreyOilGas.h.

Referenced by getValue().

_m

const double MaterialLib::PorousMedium::WettingPhaseBrooksCoreyOilGas::_m

private

Exponent m, m>=1.0.

Definition at line 63 of file WettingPhaseBrooksCoreyOilGas.h.

Referenced by getdValue(), and getValue().

---

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

• MaterialLib/PorousMedium/UnsaturatedProperty/RelativePermeability/WettingPhaseBrooksCoreyOilGas.h
• MaterialLib/PorousMedium/UnsaturatedProperty/RelativePermeability/WettingPhaseBrooksCoreyOilGas.cpp