Implementation of three-phase capillary pressure and relative permeability relations proposed by Parker and van Genuchten. More...

#include <ThreePhaseParkerVanGenuchten.hpp>

Public Types
typedef TraitsT	Traits

typedef ParamsT	Params

typedef Traits::Scalar	Scalar

Static Public Member Functions
template<class ContainerT , class FluidState >
static void	capillaryPressures (ContainerT &values, const Params &params, const FluidState &fluidState)
	Implements the three phase capillary pressure law proposed by Parker and van Genuchten. More...

template<class FluidState , class Evaluation = typename FluidState::Scalar>
static Evaluation	pcgn (const Params &params, const FluidState &fluidState)
	Capillary pressure between the gas and the non-wetting liquid (i.e., oil) phase. More...

template<class FluidState , class Evaluation = typename FluidState::Scalar>
static Evaluation	pcnw (const Params &params, const FluidState &fluidState)
	Capillary pressure between the non-wetting liquid (i.e., oil) and the wetting liquid (i.e., water) phase. More...

template<class ContainerT , class FluidState >
static void	saturations (ContainerT &, const Params &, const FluidState &)
	The saturation-capillary pressure curve. More...

template<class FluidState , class Evaluation = typename FluidState::Scalar>
static Evaluation	Sg (const Params &, const FluidState &)
	The saturation of the gas phase. More...

template<class FluidState , class Evaluation = typename FluidState::Scalar>
static Evaluation	Sn (const Params &, const FluidState &)
	The saturation of the non-wetting (i.e., oil) phase. More...

template<class FluidState , class Evaluation = typename FluidState::Scalar>
static Evaluation	Sw (const Params &, const FluidState &)
	The saturation of the wetting (i.e., water) phase. More...

template<class ContainerT , class FluidState >
static void	relativePermeabilities (ContainerT &values, const Params &params, const FluidState &fluidState)
	The relative permeability of all phases. More...

template<class FluidState , class Evaluation = typename FluidState::Scalar>
static Evaluation	krw (const Params &params, const FluidState &fluidState)
	The relative permeability for the wetting phase of the medium implied by van Genuchten's parameterization. More...

template<class FluidState , class Evaluation = typename FluidState::Scalar>
static Evaluation	krn (const Params &params, const FluidState &fluidState)
	The relative permeability for the non-wetting phase due to the model of Parker et al. (1987). More...

template<class FluidState , class Evaluation = typename FluidState::Scalar>
static Evaluation	krg (const Params &params, const FluidState &fluidState)
	The relative permeability for the non-wetting phase of the medium implied by van Genuchten's parameterization. More...

Static Public Attributes
static const int	numPhases = 3

static const int	wettingPhaseIdx = Traits::wettingPhaseIdx

static const int	nonWettingPhaseIdx = Traits::nonWettingPhaseIdx

static const int	gasPhaseIdx = Traits::gasPhaseIdx

static const bool	implementsTwoPhaseApi = false

static const bool	implementsTwoPhaseSatApi = false

static const bool	isSaturationDependent = true

static const bool	isPressureDependent = false

static const bool	isTemperatureDependent = false

static const bool	isCompositionDependent = false

Detailed Description

template<class TraitsT, class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>
class Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >

Implementation of three-phase capillary pressure and relative permeability relations proposed by Parker and van Genuchten.

Reference: J.B. Kool, J.C. Parker, M.Th. van Genuchten: Parameter Estimation for Unsaturated Flow and Transport Models – A Review; Journal of Hydrology, 91 (1987) 255-293

Member Typedef Documentation

◆ Params

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

typedef ParamsT Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::Params

◆ Scalar

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

typedef Traits::Scalar Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::Scalar

◆ Traits

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

typedef TraitsT Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::Traits

Member Function Documentation

◆ capillaryPressures()

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

template<class ContainerT , class FluidState >

static void Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::capillaryPressures	(	ContainerT &	values,
		const Params &	params,
		const FluidState &	fluidState
	)

inlinestatic

Implements the three phase capillary pressure law proposed by Parker and van Genuchten.

This material law is valid for three fluid phases and only depends on the saturations.

Parameters

values	Container for the return values
params	Parameters
state	The fluid state

References Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::gasPhaseIdx, Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::nonWettingPhaseIdx, and Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::wettingPhaseIdx.

◆ krg()

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

template<class FluidState , class Evaluation = typename FluidState::Scalar>

static Evaluation Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::krg	(	const Params &	params,
		const FluidState &	fluidState
	)

inlinestatic

The relative permeability for the non-wetting phase of the medium implied by van Genuchten's parameterization.

The permeability of gas in a three-phase system equals the standard two-phase description. (see p61. of "Comparison of the Three-Phase Oil Relative Permeability Models" M. Delshad and G. A. Pope, Transport in Porous Media 4 (1989), 59-83.)

References Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::gasPhaseIdx, Opm::min(), Opm::pow(), and Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::Sg().

◆ krn()

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

template<class FluidState , class Evaluation = typename FluidState::Scalar>

static Evaluation Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::krn	(	const Params &	params,
		const FluidState &	fluidState
	)

inlinestatic

The relative permeability for the non-wetting phase due to the model of Parker et al. (1987).

See model 7 of "Comparison of the Three-Phase Oil Relative Permeability Models" M. Delshad and G. A. Pope, Transport in Porous Media 4 (1989), 59-83; or – more comprehensively – "Estimation of primary drainage three-phase relative permeability for organic liquid transport in the vadose zone", L. I. Oliveira, A. H. Demond, Journal of Contaminant Hydrology 66 (2003), 261-285

References Opm::max(), Opm::min(), Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::nonWettingPhaseIdx, Opm::pow(), Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::Sn(), Opm::sqrt(), Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::Sw(), and Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::wettingPhaseIdx.

◆ krw()

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

template<class FluidState , class Evaluation = typename FluidState::Scalar>

static Evaluation Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::krw	(	const Params &	params,
		const FluidState &	fluidState
	)

inlinestatic

The relative permeability for the wetting phase of the medium implied by van Genuchten's parameterization.

The permeability of water in a 3p system equals the standard 2p description. (see p61. in "Comparison of the Three-Phase Oil Relative Permeability Models" MOJDEH DELSHAD and GARY A. POPE, Transport in Porous Media 4 (1989), 59-83.)

References Opm::pow(), Opm::sqrt(), Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::Sw(), and Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::wettingPhaseIdx.

◆ pcgn()

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

template<class FluidState , class Evaluation = typename FluidState::Scalar>

static Evaluation Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::pcgn	(	const Params &	params,
		const FluidState &	fluidState
	)

inlinestatic

Capillary pressure between the gas and the non-wetting liquid (i.e., oil) phase.

This is defined as

$p_{c,gn} = p_g - p_n$

References Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::nonWettingPhaseIdx, Opm::pow(), and Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::wettingPhaseIdx.

◆ pcnw()

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

template<class FluidState , class Evaluation = typename FluidState::Scalar>

static Evaluation Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::pcnw	(	const Params &	params,
		const FluidState &	fluidState
	)

inlinestatic

Capillary pressure between the non-wetting liquid (i.e., oil) and the wetting liquid (i.e., water) phase.

This is defined as

$p_{c,nw} = p_n - p_w$

References Opm::pow(), Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::Sw(), and Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::wettingPhaseIdx.

◆ relativePermeabilities()

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

template<class ContainerT , class FluidState >

static void Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::relativePermeabilities	(	ContainerT &	values,
		const Params &	params,
		const FluidState &	fluidState
	)

inlinestatic

The relative permeability of all phases.

References Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::gasPhaseIdx, Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::nonWettingPhaseIdx, and Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::wettingPhaseIdx.

◆ saturations()

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

template<class ContainerT , class FluidState >

static void Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::saturations	(	ContainerT &	,
		const Params &	,
		const FluidState &
	)

inlinestatic

The saturation-capillary pressure curve.

◆ Sg()

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

template<class FluidState , class Evaluation = typename FluidState::Scalar>

static Evaluation Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::Sg	(	const Params &	,
		const FluidState &
	)

inlinestatic

The saturation of the gas phase.

Referenced by Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::krg().

◆ Sn()

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

template<class FluidState , class Evaluation = typename FluidState::Scalar>

static Evaluation Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::Sn	(	const Params &	,
		const FluidState &
	)

inlinestatic

The saturation of the non-wetting (i.e., oil) phase.

Referenced by Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::krn().

◆ Sw()

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

template<class FluidState , class Evaluation = typename FluidState::Scalar>

static Evaluation Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::Sw	(	const Params &	,
		const FluidState &
	)

inlinestatic

The saturation of the wetting (i.e., water) phase.

Referenced by Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::krn(), Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::krw(), and Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::pcnw().

Member Data Documentation

◆ gasPhaseIdx

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

const int Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::gasPhaseIdx = Traits::gasPhaseIdx

static

Referenced by Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::capillaryPressures(), Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::krg(), and Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::relativePermeabilities().

◆ implementsTwoPhaseApi

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

const bool Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::implementsTwoPhaseApi = false

static

Specify whether this material law implements the two-phase convenience API

◆ implementsTwoPhaseSatApi

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

const bool Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::implementsTwoPhaseSatApi = false

static

Specify whether this material law implements the two-phase convenience API which only depends on the phase saturations

◆ isCompositionDependent

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

const bool Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::isCompositionDependent = false

static

Specify whether the quantities defined by this material law are dependent on the phase composition

◆ isPressureDependent

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

const bool Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::isPressureDependent = false

static

Specify whether the quantities defined by this material law are dependent on the absolute pressure

◆ isSaturationDependent

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

const bool Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::isSaturationDependent = true

static

Specify whether the quantities defined by this material law are saturation dependent

◆ isTemperatureDependent

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

const bool Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::isTemperatureDependent = false

static

Specify whether the quantities defined by this material law are temperature dependent

◆ nonWettingPhaseIdx

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

const int Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::nonWettingPhaseIdx = Traits::nonWettingPhaseIdx

static

Referenced by Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::capillaryPressures(), Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::krn(), Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::pcgn(), and Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::relativePermeabilities().

◆ numPhases

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

const int Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::numPhases = 3

static

◆ wettingPhaseIdx

template<class TraitsT , class ParamsT = ThreePhaseParkerVanGenuchtenParams<TraitsT>>

const int Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::wettingPhaseIdx = Traits::wettingPhaseIdx

static

Referenced by Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::capillaryPressures(), Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::krn(), Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::krw(), Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::pcgn(), Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::pcnw(), and Opm::ThreePhaseParkerVanGenuchten< TraitsT, ParamsT >::relativePermeabilities().

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

ThreePhaseParkerVanGenuchten.hpp

Public Types

Static Public Member Functions

Static Public Attributes

Detailed Description

Member Typedef Documentation

◆ Params

◆ Scalar

◆ Traits

Member Function Documentation

◆ capillaryPressures()

◆ krg()

◆ krn()

◆ krw()

◆ pcgn()

◆ pcnw()

◆ relativePermeabilities()

◆ saturations()

◆ Sg()

◆ Sn()

◆ Sw()

Member Data Documentation

◆ gasPhaseIdx

◆ implementsTwoPhaseApi

◆ implementsTwoPhaseSatApi

◆ isCompositionDependent

◆ isPressureDependent

◆ isSaturationDependent

◆ isTemperatureDependent

◆ nonWettingPhaseIdx

◆ numPhases

◆ wettingPhaseIdx