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DUNE for Multi-{Phase, Component, Scale, Physics, ...} flow and transport in porous media
Public Types | Static Public Member Functions | List of all members
Dumux::BrooksCorey< ScalarT, ParamsT > Class Template Reference

Implementation of the Brooks-Corey capillary pressure <-> saturation relation. This class bundles the "raw" curves as static members and doesn't concern itself converting absolute to effective saturations and vice versa. More...

#include <dumux/material/fluidmatrixinteractions/2p/brookscorey.hh>

Description

template<class ScalarT, class ParamsT = BrooksCoreyParams<ScalarT>>
class Dumux::BrooksCorey< ScalarT, ParamsT >

Implementation of the Brooks-Corey capillary pressure <-> saturation relation. This class bundles the "raw" curves as static members and doesn't concern itself converting absolute to effective saturations and vice versa.

For general info: EffToAbsLaw

See also
BrooksCoreyParams

Public Types

using Params = ParamsT
 
using Scalar = typename Params::Scalar
 

Static Public Member Functions

static Scalar pc (const Params &params, Scalar swe)
 The capillary pressure-saturation curve according to Brooks & Corey. More...
 
static Scalar sw (const Params &params, Scalar pc)
 The saturation-capillary pressure curve according to Brooks & Corey. More...
 
static Scalar endPointPc (const Params &params)
 The capillary pressure at Swe = 1.0 also called end point capillary pressure. More...
 
static Scalar dpc_dswe (const Params &params, Scalar swe)
 The partial derivative of the capillary pressure w.r.t. the effective saturation according to Brooks & Corey. More...
 
static Scalar dswe_dpc (const Params &params, Scalar pc)
 The partial derivative of the effective saturation w.r.t. the capillary pressure according to Brooks & Corey. More...
 
static Scalar krw (const Params &params, Scalar swe)
 The relative permeability for the wetting phase of the medium implied by the Brooks-Corey parameterization. More...
 
static Scalar dkrw_dswe (const Params &params, Scalar swe)
 The derivative of the relative permeability for the wetting phase with regard to the wetting saturation of the medium implied by the Brooks-Corey parameterization. More...
 
static Scalar krn (const Params &params, Scalar swe)
 The relative permeability for the non-wetting phase of the medium as implied by the Brooks-Corey parameterization. More...
 
static Scalar dkrn_dswe (const Params &params, Scalar swe)
 The derivative of the relative permeability for the non-wetting phase in regard to the wetting saturation of the medium as implied by the Brooks-Corey parameterization. More...
 

Member Typedef Documentation

◆ Params

template<class ScalarT , class ParamsT = BrooksCoreyParams<ScalarT>>
using Dumux::BrooksCorey< ScalarT, ParamsT >::Params = ParamsT

◆ Scalar

template<class ScalarT , class ParamsT = BrooksCoreyParams<ScalarT>>
using Dumux::BrooksCorey< ScalarT, ParamsT >::Scalar = typename Params::Scalar

Member Function Documentation

◆ dkrn_dswe()

template<class ScalarT , class ParamsT = BrooksCoreyParams<ScalarT>>
static Scalar Dumux::BrooksCorey< ScalarT, ParamsT >::dkrn_dswe ( const Params params,
Scalar  swe 
)
inlinestatic

The derivative of the relative permeability for the non-wetting phase in regard to the wetting saturation of the medium as implied by the Brooks-Corey parameterization.

Parameters
sweThe mobile saturation of the wetting phase.
paramsA container object that is populated with the appropriate coefficients for the respective law. Therefore, in the (problem specific) spatialParameters first, the material law is chosen, and then the params container is constructed accordingly. Afterwards the values are set there, too.
Returns
Derivative of the relative permeability of the non-wetting phase w.r.t. effective wetting phase saturation calculated as implied by Brooks & Corey.
Note
Instead of undefined behaviour if pc is not in the valid range, we return a valid number, by clamping the input.

◆ dkrw_dswe()

template<class ScalarT , class ParamsT = BrooksCoreyParams<ScalarT>>
static Scalar Dumux::BrooksCorey< ScalarT, ParamsT >::dkrw_dswe ( const Params params,
Scalar  swe 
)
inlinestatic

The derivative of the relative permeability for the wetting phase with regard to the wetting saturation of the medium implied by the Brooks-Corey parameterization.

Parameters
sweThe mobile saturation of the wetting phase.
paramsA container object that is populated with the appropriate coefficients for the respective law. Therefore, in the (problem specific) spatialParameters first, the material law is chosen, and then the params container is constructed accordingly. Afterwards the values are set there, too.
Returns
Derivative of the relative permeability of the wetting phase w.r.t. effective wetting phase saturation calculated as implied by Brooks & Corey.
Note
Instead of undefined behaviour if pc is not in the valid range, we return a valid number, by clamping the input.

◆ dpc_dswe()

template<class ScalarT , class ParamsT = BrooksCoreyParams<ScalarT>>
static Scalar Dumux::BrooksCorey< ScalarT, ParamsT >::dpc_dswe ( const Params params,
Scalar  swe 
)
inlinestatic

The partial derivative of the capillary pressure w.r.t. the effective saturation according to Brooks & Corey.

This is equivalent to \(\mathrm{\frac{\partial p_C}{\partial \overline{S}_w} = -\frac{p_e}{\lambda} \overline{S}_w^{-1/\lambda - 1} }\)

Parameters
sweEffective saturation of the wetting phase \(\mathrm{[\overline{S}_w]}\)
paramsA container object that is populated with the appropriate coefficients for the respective law. Therefore, in the (problem specific) spatialParameters first, the material law is chosen, and then the params container is constructed accordingly. Afterwards the values are set there, too.
Returns
Partial derivative of \(\mathrm{[p_c]}\) w.r.t. effective saturation according to Brooks & Corey.
Note
Instead of undefined behaviour if pc is not in the valid range, we return a valid number, by clamping the input.

◆ dswe_dpc()

template<class ScalarT , class ParamsT = BrooksCoreyParams<ScalarT>>
static Scalar Dumux::BrooksCorey< ScalarT, ParamsT >::dswe_dpc ( const Params params,
Scalar  pc 
)
inlinestatic

The partial derivative of the effective saturation w.r.t. the capillary pressure according to Brooks & Corey.

Parameters
pcCapillary pressure \(\mathrm{[p_c]}\) in \(\mathrm{[Pa]}\).
paramsA container object that is populated with the appropriate coefficients for the respective law. Therefore, in the (problem specific) spatialParameters first, the material law is chosen, and then the params container is constructed accordingly. Afterwards the values are set there, too.
Returns
Partial derivative of effective saturation w.r.t. \(\mathrm{[p_c]}\) according to Brooks & Corey.
Note
Instead of undefined behaviour if pc is not in the valid range, we return a valid number, by clamping the input.

◆ endPointPc()

template<class ScalarT , class ParamsT = BrooksCoreyParams<ScalarT>>
static Scalar Dumux::BrooksCorey< ScalarT, ParamsT >::endPointPc ( const Params params)
inlinestatic

The capillary pressure at Swe = 1.0 also called end point capillary pressure.

Parameters
paramsA container object that is populated with the appropriate coefficients for the respective law. Therefore, in the (problem specific) spatialParameters first, the material law is chosen, and then the params container is constructed accordingly. Afterwards the values are set there, too.

◆ krn()

template<class ScalarT , class ParamsT = BrooksCoreyParams<ScalarT>>
static Scalar Dumux::BrooksCorey< ScalarT, ParamsT >::krn ( const Params params,
Scalar  swe 
)
inlinestatic

The relative permeability for the non-wetting phase of the medium as implied by the Brooks-Corey parameterization.

Parameters
sweThe mobile saturation of the wetting phase.
paramsA container object that is populated with the appropriate coefficients for the respective law. Therefore, in the (problem specific) spatialParameters first, the material law is chosen, and then the params container is constructed accordingly. Afterwards the values are set there, too.
Returns
Relative permeability of the non-wetting phase calculated as implied by Brooks & Corey.
Note
Instead of undefined behaviour if pc is not in the valid range, we return a valid number, by clamping the input.

◆ krw()

template<class ScalarT , class ParamsT = BrooksCoreyParams<ScalarT>>
static Scalar Dumux::BrooksCorey< ScalarT, ParamsT >::krw ( const Params params,
Scalar  swe 
)
inlinestatic

The relative permeability for the wetting phase of the medium implied by the Brooks-Corey parameterization.

Parameters
sweThe mobile saturation of the wetting phase.
paramsA container object that is populated with the appropriate coefficients for the respective law. Therefore, in the (problem specific) spatialParameters first, the material law is chosen, and then the params container is constructed accordingly. Afterwards the values are set there, too.
Returns
Relative permeability of the wetting phase calculated as implied by Brooks & Corey.
Note
Instead of undefined behaviour if pc is not in the valid range, we return a valid number, by clamping the input.

◆ pc()

template<class ScalarT , class ParamsT = BrooksCoreyParams<ScalarT>>
static Scalar Dumux::BrooksCorey< ScalarT, ParamsT >::pc ( const Params params,
Scalar  swe 
)
inlinestatic

The capillary pressure-saturation curve according to Brooks & Corey.

The Brooks-Corey empirical capillary pressure <-> saturation function is given by

\(\mathrm{ p_C = p_e\overline{S}_w^{-1/\lambda} }\)

Parameters
sweEffective saturation of the wetting phase \(\mathrm{[\overline{S}_w]}\)
paramsA container object that is populated with the appropriate coefficients for the respective law. Therefore, in the (problem specific) spatialParameters first, the material law is chosen, and then the params container is constructed accordingly. Afterwards the values are set there, too.
Returns
Capillary pressure calculated by Brooks & Corey constitutive relation.
Note
Instead of undefined behaviour if pc is not in the valid range, we return a valid number, by clamping the input.

◆ sw()

template<class ScalarT , class ParamsT = BrooksCoreyParams<ScalarT>>
static Scalar Dumux::BrooksCorey< ScalarT, ParamsT >::sw ( const Params params,
Scalar  pc 
)
inlinestatic

The saturation-capillary pressure curve according to Brooks & Corey.

This is the inverse of the capillary pressure-saturation curve: \(\mathrm{ \overline{S}_w = (\frac{p_C}{p_e})^{-\lambda}}\)

Parameters
pcCapillary pressure \(\mathrm{[p_C]}\) in \(\mathrm{[Pa]}\).
paramsA container object that is populated with the appropriate coefficients for the respective law. Therefore, in the (problem specific) spatialParameters first, the material law is chosen, and then the params container is constructed accordingly. Afterwards the values are set there, too.
Returns
Effective wetting phase saturation calculated as inverse of BrooksCorey constitutive relation.
Note
Instead of undefined behaviour if pc is not in the valid range, we return a valid number, by clamping the input.

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