MaterialLib::PorousMedium::BrooksCoreyCapillaryPressureSaturation Class Reference

Detailed Description

Brooks-Corey capillary pressure saturation model.

$$p_c=p_b S_e^{-1/m}$$

with

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

where

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

Note:

$$m=1/(1-n)$$

Definition at line 42 of file BrooksCoreyCapillaryPressureSaturation.h.

#include <BrooksCoreyCapillaryPressureSaturation.h>

Inheritance diagram for MaterialLib::PorousMedium::BrooksCoreyCapillaryPressureSaturation:

Collaboration diagram for MaterialLib::PorousMedium::BrooksCoreyCapillaryPressureSaturation:

Public Member Functions
	BrooksCoreyCapillaryPressureSaturation (const double pb, const double Sr, const double Sg_r, const double Smax, const double m, const double Pc_max)
std::string	getName () const override
	Get model name.
double	getCapillaryPressure (const double saturation) const override
	Get capillary pressure.
double	getSaturation (const double capillary_pressure) const override
	Get saturation.
double	getdPcdS (const double saturation) const override
	Get the derivative of the capillary pressure with respect to saturation.
double	getd2PcdS2 (const double) const override
Public Member Functions inherited from MaterialLib::PorousMedium::CapillaryPressureSaturation
	CapillaryPressureSaturation (const double Sr, const double Sg_r, const double Smax, const double Pc_max)
virtual	~CapillaryPressureSaturation ()=default

Private Attributes
const double	_pb
	Entry pressure.
const double	_m
	Exponent m, m>1.

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

Constructor & Destructor Documentation

BrooksCoreyCapillaryPressureSaturation()

MaterialLib::PorousMedium::BrooksCoreyCapillaryPressureSaturation::BrooksCoreyCapillaryPressureSaturation ( const double pb, const double Sr, const double Sg_r, const double Smax, const double m, const double Pc_max )

inline

Parameters

pb	Entry pressure, $p_b$
Sr	Residual saturation, $S_r$
Sg_r	Residual saturation of gas phase, $Sg_r$
Smax	Maximum saturation, $S_{\mbox{max}}$
m	Exponent, $m$
Pc_max	Maximum capillary pressure, $P_c^{\mbox{max}}$

Definition at line 54 of file BrooksCoreyCapillaryPressureSaturation.h.

        : CapillaryPressureSaturation(Sr, Sg_r, Smax, Pc_max), _pb(pb), _m(m)
    {
    }

Member Function Documentation

getCapillaryPressure()

double MaterialLib::PorousMedium::BrooksCoreyCapillaryPressureSaturation::getCapillaryPressure ( const double saturation ) const

overridevirtual

Get capillary pressure.

Implements MaterialLib::PorousMedium::CapillaryPressureSaturation.

Definition at line 22 of file BrooksCoreyCapillaryPressureSaturation.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 pc = _pb * std::pow(Se, -1.0 / _m);
    return std::clamp(pc, _minor_offset, _pc_max);
}

References _m, MaterialLib::PorousMedium::CapillaryPressureSaturation::_minor_offset, _pb, MaterialLib::PorousMedium::CapillaryPressureSaturation::_pc_max, MaterialLib::PorousMedium::CapillaryPressureSaturation::_saturation_max, and MaterialLib::PorousMedium::CapillaryPressureSaturation::_saturation_r.

getd2PcdS2()

double MaterialLib::PorousMedium::BrooksCoreyCapillaryPressureSaturation::getd2PcdS2 ( const double ) const

inlineoverridevirtual

Get the second derivative of the capillary pressure with respect to saturation

Implements MaterialLib::PorousMedium::CapillaryPressureSaturation.

Definition at line 78 of file BrooksCoreyCapillaryPressureSaturation.h.

    {
        OGS_FATAL(
            "Second derivative of BrooksCorey d^2p_cap / dS^2 is not "
            "implemented.");
    }

References OGS_FATAL.

getdPcdS()

double MaterialLib::PorousMedium::BrooksCoreyCapillaryPressureSaturation::getdPcdS ( const double saturation ) const

overridevirtual

Get the derivative of the capillary pressure with respect to saturation.

Implements MaterialLib::PorousMedium::CapillaryPressureSaturation.

Definition at line 43 of file BrooksCoreyCapillaryPressureSaturation.cpp.

{
    const double S = std::clamp(saturation, _saturation_r + _minor_offset,
                                _saturation_max - _minor_offset);
    const double val = std::pow(
        ((S - _saturation_r) / (_saturation_max - _saturation_r)), -1.0 / _m);
    return (_pb * val) / (_m * (_saturation_r - S));
}

References _m, MaterialLib::PorousMedium::CapillaryPressureSaturation::_minor_offset, _pb, MaterialLib::PorousMedium::CapillaryPressureSaturation::_saturation_max, and MaterialLib::PorousMedium::CapillaryPressureSaturation::_saturation_r.

getName()

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

inlineoverridevirtual

Get model name.

Implements MaterialLib::PorousMedium::CapillaryPressureSaturation.

Definition at line 62 of file BrooksCoreyCapillaryPressureSaturation.h.

    {
        return "Brooks-Corey capillary pressure saturation model.";
    }

getSaturation()

double MaterialLib::PorousMedium::BrooksCoreyCapillaryPressureSaturation::getSaturation ( const double capillary_pressure ) const

overridevirtual

Get saturation.

Implements MaterialLib::PorousMedium::CapillaryPressureSaturation.

Definition at line 32 of file BrooksCoreyCapillaryPressureSaturation.cpp.

{
    const double pc =
        (capillary_pressure < 0.0) ? _minor_offset : capillary_pressure;
    const double Se = std::pow(pc / _pb, -_m);
    const double S = Se * (_saturation_max - _saturation_r) + _saturation_r;
    return std::clamp(S, _saturation_r + _minor_offset,
                      _saturation_max - _minor_offset);
}

References _m, MaterialLib::PorousMedium::CapillaryPressureSaturation::_minor_offset, _pb, MaterialLib::PorousMedium::CapillaryPressureSaturation::_saturation_max, and MaterialLib::PorousMedium::CapillaryPressureSaturation::_saturation_r.

Member Data Documentation

_m

const double MaterialLib::PorousMedium::BrooksCoreyCapillaryPressureSaturation::_m

private

Exponent m, m>1.

Definition at line 87 of file BrooksCoreyCapillaryPressureSaturation.h.

Referenced by getCapillaryPressure(), getdPcdS(), and getSaturation().

_pb

const double MaterialLib::PorousMedium::BrooksCoreyCapillaryPressureSaturation::_pb

private

Entry pressure.

Definition at line 86 of file BrooksCoreyCapillaryPressureSaturation.h.

Referenced by getCapillaryPressure(), getdPcdS(), and getSaturation().

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

• MaterialLib/PorousMedium/UnsaturatedProperty/CapillaryPressure/BrooksCoreyCapillaryPressureSaturation.h
• MaterialLib/PorousMedium/UnsaturatedProperty/CapillaryPressure/BrooksCoreyCapillaryPressureSaturation.cpp