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.

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

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

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

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

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

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

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 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.) [25]

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

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 [25]
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 [61]

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 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.) [25]

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

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

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

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

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

Parameters

params	Array of parameters
swe	Effective wetting phase saturation

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

parkervangenuchten.hh

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()