Implementation of Parker/vanGenuchten's capillary pressure <-> saturation relation for three phases. This class bundles the "raw" curves as static members and doesn't concern itself converting absolute to effective saturations and vince versa. More...

#include <dumux/material/fluidmatrixinteractions/3p/parkervangenuchten.hh>

Description

Implementation of Parker/vanGenuchten's capillary pressure <-> saturation relation for three phases. This class bundles the "raw" curves as static members and doesn't concern itself converting absolute to effective saturations and vince versa.

Classes
struct	Params
	The parameter type. More...

Static Public Member Functions
template<class Scalar = double>
static Params< Scalar >	makeParams (const std::string &paramGroup)
	Construct from a subgroup from the global parameter tree. More...

template<class Scalar >
static Scalar	pcgw (Scalar swe, const Params< Scalar > &params)
	The capillary pressure-saturation curve for the gas and wetting phase. More...

template<class Scalar >
static Scalar	pcnw (Scalar swe, const Params< Scalar > &params)
	The capillary pressure-saturation curve for the non-wettigng and wetting phase. More...

template<class Scalar >
static Scalar	pcgn (const Scalar ste, const Params< Scalar > &params)
	The capillary pressure-saturation curve for the gas and nonwetting phase. More...

template<class Scalar >
static Scalar	pcAlpha (Scalar sne, const Params< Scalar > &params)
	This function ensures a continuous transition from 2 to 3 phases and vice versa. More...

template<class Scalar >
static Scalar	dpcgw_dswe (const Scalar swe, const Params< Scalar > &params)
	Returns the partial derivative of the capillary pressure to the effective saturation. More...

template<class Scalar >
static Scalar	dpcnw_dswe (const Scalar swe, const Params< Scalar > &params)
	Returns the partial derivative of the capillary pressure to the effective saturation. More...

template<class Scalar >
static Scalar	dpcgn_dste (const Scalar ste, const Params< Scalar > &params)
	Returns the partial derivative of the capillary pressure to the effective saturation. More...

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

template<class Scalar >
static Scalar	krn (const Scalar swe, const Scalar sn, const Scalar ste, const Params< Scalar > &params)
	The relative permeability for the nonwetting phase after the Model of Parker et al. (1987). More...

template<class Scalar >
static Scalar	krg (const Scalar ste, const Params< Scalar > &params)
	The relative permeability for the nonwetting phase of the medium implied by van Genuchten's parameterization. More...

template<class Scalar >
static Scalar	dkrg_dste (const Scalar ste, const Params< Scalar > &params)
	The derivative of the relative permeability for the gas phase in regard to the total liquid saturation of the medium as implied by the van Genuchten parameterization. More...

template<class Scalar >
static Scalar	kr (const int phaseIdx, const Scalar swe, const Scalar sne, const Params< Scalar > &params)
	The relative permeability for a phase. More...

Member Function Documentation

◆ dkrg_dste()

template<class Scalar >

static Scalar Dumux::FluidMatrix::ParkerVanGenuchten3P::dkrg_dste	(	const Scalar	ste,
		const Params< Scalar > &	params
	)

inlinestatic

The derivative of the relative permeability for the gas phase in regard to the total liquid saturation of the medium as implied by the van Genuchten parameterization.

Parameters

ste	The mobile total liquid saturation.
params	A container object that is populated with the appropriate coefficients for the respective law.

◆ dpcgn_dste()

template<class Scalar >

static Scalar Dumux::FluidMatrix::ParkerVanGenuchten3P::dpcgn_dste	(	const Scalar	ste,
		const Params< Scalar > &	params
	)

inlinestatic

Returns the partial derivative of the capillary pressure to the effective saturation.

Parameters

ste	Effective total liquid (wetting + nonwetting) saturation
params	Array of parameters

◆ dpcgw_dswe()

template<class Scalar >

static Scalar Dumux::FluidMatrix::ParkerVanGenuchten3P::dpcgw_dswe	(	const Scalar	swe,
		const Params< Scalar > &	params
	)

inlinestatic

Returns the partial derivative of the capillary pressure to the effective saturation.

Parameters

swe	Effective wetting phase saturation
params	Array of parameters

◆ dpcnw_dswe()

template<class Scalar >

static Scalar Dumux::FluidMatrix::ParkerVanGenuchten3P::dpcnw_dswe	(	const Scalar	swe,
		const Params< Scalar > &	params
	)

inlinestatic

Returns the partial derivative of the capillary pressure to the effective saturation.

Parameters

swe	Effective wetting phase saturation
params	Array of parameters

◆ kr()

template<class Scalar >

static Scalar Dumux::FluidMatrix::ParkerVanGenuchten3P::kr	(	const int	phaseIdx,
		const Scalar	swe,
		const Scalar	sne,
		const Params< Scalar > &	params
	)

inlinestatic

The relative permeability for a phase.

Parameters

params	Array of parameters.
phaseIdx	Indicator, The saturation of all phases.
swe	Effective wetting phase saturation
sne	Effective nonwetting saturation

◆ krg()

template<class Scalar >

static Scalar Dumux::FluidMatrix::ParkerVanGenuchten3P::krg	(	const Scalar	ste,
		const Params< Scalar > &	params
	)

inlinestatic

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

The permeability of gas 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.) [18]

Parameters

params	Array of parameters.
ste	Effective total liquid (wetting + nonwetting) saturation

◆ krn()

template<class Scalar >

static Scalar Dumux::FluidMatrix::ParkerVanGenuchten3P::krn	(	const Scalar	swe,
		const Scalar	sn,
		const Scalar	ste,
		const Params< Scalar > &	params
	)

inlinestatic

The relative permeability for the nonwetting phase after the Model of Parker et al. (1987).

See model 7 in "Comparison of the Three-Phase Oil Relative Permeability Models" MOJDEH DELSHAD and GARY A. POPE, Transport in Porous Media 4 (1989), 59-83 [18]
or more comprehensive in "Estimation of primary drainage three-phase relative permeability for organic liquid transport in the vadose zone", Leonardo I. Oliveira, Avery H. Demond, Journal of Contaminant Hydrology 66 (2003), 261-285 [49]

Parameters

params	Array of parameters.
swe	Effective wetting phase saturation
sn	Absolute nonwetting liquid saturation
ste	Effective total liquid (wetting + nonwetting) saturation

◆ krw()

template<class Scalar >

static Scalar Dumux::FluidMatrix::ParkerVanGenuchten3P::krw	(	const Scalar	swe,
		const Params< Scalar > &	params
	)

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.) [18]

Parameters

swe	Effective wetting phase saturation
params	Array of parameters.

◆ makeParams()

template<class Scalar = double>

static Params< Scalar > Dumux::FluidMatrix::ParkerVanGenuchten3P::makeParams ( const std::string & paramGroup )

inlinestatic

Construct from a subgroup from the global parameter tree.

Note: This will give you nice error messages if a mandatory parameter is missing

◆ pcAlpha()

template<class Scalar >

static Scalar Dumux::FluidMatrix::ParkerVanGenuchten3P::pcAlpha	(	Scalar	sne,
		const Params< Scalar > &	params
	)

inlinestatic

This function ensures a continuous transition from 2 to 3 phases and vice versa.

Parameters

params	Array of parameters
sne	Non-wetting liquid saturation

◆ pcgn()

template<class Scalar >

static Scalar Dumux::FluidMatrix::ParkerVanGenuchten3P::pcgn	(	const Scalar	ste,
		const Params< Scalar > &	params
	)

inlinestatic

The capillary pressure-saturation curve for the gas and nonwetting phase.

Parameters

params	Array of parameters
ste	Effective total liquid (wetting + nonwetting) saturation

◆ pcgw()

template<class Scalar >

static Scalar Dumux::FluidMatrix::ParkerVanGenuchten3P::pcgw	(	Scalar	swe,
		const Params< Scalar > &	params
	)

inlinestatic

The capillary pressure-saturation curve for the gas and wetting phase.

Parameters

params	Array of parameters
swe	Effective wetting phase saturation

◆ pcnw()

template<class Scalar >

static Scalar Dumux::FluidMatrix::ParkerVanGenuchten3P::pcnw	(	Scalar	swe,
		const Params< Scalar > &	params
	)

inlinestatic

The capillary pressure-saturation curve for the non-wettigng and wetting phase.

Parameters

params	Array of parameters
swe	Effective wetting phase saturation

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

parkervangenuchten.hh

Description

Classes

Static Public Member Functions

Member Function Documentation

◆ dkrg_dste()

◆ dpcgn_dste()

◆ dpcgw_dswe()

◆ dpcnw_dswe()

◆ kr()

◆ krg()

◆ krn()

◆ krw()

◆ makeParams()

◆ pcAlpha()

◆ pcgn()

◆ pcgw()

◆ pcnw()