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opm-simulators/ebos/equil/equilibrationhelpers.hh

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// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
// vi: set et ts=4 sw=4 sts=4:
/*
This file is part of the Open Porous Media project (OPM).
OPM is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
OPM is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with OPM. If not, see <http://www.gnu.org/licenses/>.
Consult the COPYING file in the top-level source directory of this
module for the precise wording of the license and the list of
copyright holders.
*/
/**
* \file
*
* \brief Auxiliary routines that to solve the ODEs that emerge from the hydrostatic
* equilibrium problem
*/
#ifndef EWOMS_EQUILIBRATIONHELPERS_HH
#define EWOMS_EQUILIBRATIONHELPERS_HH
#include <fmt/format.h>
#include <opm/material/common/Tabulated1DFunction.hpp>
#include <opm/material/fluidsystems/BlackOilFluidSystem.hpp>
#include <opm/material/fluidstates/SimpleModularFluidState.hpp>
#include <opm/material/fluidmatrixinteractions/EclMaterialLawManager.hpp>
#include <opm/input/eclipse/EclipseState/InitConfig/Equil.hpp>
#include <opm/common/utility/numeric/RootFinders.hpp>
#include <cmath>
#include <memory>
/*
---- synopsis of EquilibrationHelpers.hpp ----
namespace Opm
{
namespace EQUIL {
namespace Miscibility {
class RsFunction;
class NoMixing;
template <class FluidSystem>
class RsVD;
template <class FluidSystem>
class RsSatAtContact;
}
class EquilReg;
template <class FluidSystem, class MaterialLaw, class MaterialLawManager>
struct PcEq;
template <class FluidSystem, class MaterialLaw, class MaterialLawManager>
double satFromPc(const MaterialLawManager& materialLawManager,
const int phase,
const int cell,
const double targetPc,
const bool increasing = false)
template <class FluidSystem, class MaterialLaw, class MaterialLawManager>
double satFromSumOfPcs(const MaterialLawManager& materialLawManager,
const int phase1,
const int phase2,
const int cell,
const double targetPc)
} // namespace Equil
} // namespace Opm
---- end of synopsis of EquilibrationHelpers.hpp ----
*/
namespace Opm {
/**
* Types and routines that collectively implement a basic
* ECLIPSE-style equilibration-based initialisation scheme.
*
* This namespace is intentionally nested to avoid name clashes
* with other parts of OPM.
*/
namespace EQUIL {
using FluidSystemSimple = BlackOilFluidSystem<double>;
// Adjust oil pressure according to gas saturation and cap pressure
using SatOnlyFluidState = SimpleModularFluidState<double,
/*numPhases=*/3,
/*numComponents=*/3,
FluidSystemSimple,
/*storePressure=*/false,
/*storeTemperature=*/false,
/*storeComposition=*/false,
/*storeFugacity=*/false,
/*storeSaturation=*/true,
/*storeDensity=*/false,
/*storeViscosity=*/false,
/*storeEnthalpy=*/false>;
/**
* Types and routines relating to phase mixing in
* equilibration calculations.
*/
namespace Miscibility {
/**
* Base class for phase mixing functions.
*/
class RsFunction
{
public:
virtual ~RsFunction() = default;
/**
* Function call operator.
*
* \param[in] depth Depth at which to calculate RS
* value.
*
* \param[in] press Pressure at which to calculate RS
* value.
*
* \param[in] temp Temperature at which to calculate RS
* value.
*
* \return Dissolved gas-oil ratio (RS) at depth @c
* depth and pressure @c press.
*/
virtual double operator()(const double depth,
const double press,
const double temp,
const double sat = 0.0) const = 0;
};
/**
* Type that implements "no phase mixing" policy.
*/
class NoMixing : public RsFunction
{
public:
virtual ~NoMixing() = default;
/**
* Function call.
*
* \param[in] depth Depth at which to calculate RS
* value.
*
* \param[in] press Pressure at which to calculate RS
* value.
*
* \param[in] temp Temperature at which to calculate RS
* value.
*
* \return Dissolved gas-oil ratio (RS) at depth @c
* depth and pressure @c press. In "no mixing
* policy", this is identically zero.
*/
double
operator()(const double /* depth */,
const double /* press */,
const double /* temp */,
const double /* sat */ = 0.0) const
{
return 0.0;
}
};
/**
* Type that implements "dissolved gas-oil ratio"
* tabulated as a function of depth policy. Data
* typically taken from keyword 'RSVD'.
*/
template <class FluidSystem>
class RsVD : public RsFunction
{
public:
/**
* Constructor.
*
* \param[in] pvtRegionIdx The pvt region index
* \param[in] depth Depth nodes.
* \param[in] rs Dissolved gas-oil ratio at @c depth.
*/
RsVD(const int pvtRegionIdx,
const std::vector<double>& depth,
const std::vector<double>& rs)
: pvtRegionIdx_(pvtRegionIdx)
, rsVsDepth_(depth, rs)
{}
virtual ~RsVD() = default;
/**
* Function call.
*
* \param[in] depth Depth at which to calculate RS
* value.
*
* \param[in] press Pressure at which to calculate RS
* value.
*
* \param[in] temp Temperature at which to calculate RS
* value.
*
* \return Dissolved gas-oil ratio (RS) at depth @c
* depth and pressure @c press.
*/
double operator()(const double depth,
const double press,
const double temp,
const double satGas = 0.0) const
{
if (satGas > 0.0) {
return satRs(press, temp);
}
else {
if (rsVsDepth_.xMin() > depth)
return rsVsDepth_.valueAt(0);
else if (rsVsDepth_.xMax() < depth)
return rsVsDepth_.valueAt(rsVsDepth_.numSamples() - 1);
return std::min(satRs(press, temp), rsVsDepth_.eval(depth, /*extrapolate=*/false));
}
}
private:
using RsVsDepthFunc = Tabulated1DFunction<double>;
const int pvtRegionIdx_;
RsVsDepthFunc rsVsDepth_;
double satRs(const double press, const double temp) const
{
return FluidSystem::oilPvt().saturatedGasDissolutionFactor(pvtRegionIdx_, temp, press);
}
};
/**
* Type that implements "dissolved gas-oil ratio"
* tabulated as a function of depth policy. Data
* typically from keyword 'PBVD'.
*/
template <class FluidSystem>
class PBVD : public RsFunction
{
public:
/**
* Constructor.
*
* \param[in] pvtRegionIdx The pvt region index
* \param[in] depth Depth nodes.
* \param[in] pbub Bubble-point pressure at @c depth.
*/
PBVD(const int pvtRegionIdx,
const std::vector<double>& depth,
const std::vector<double>& pbub)
: pvtRegionIdx_(pvtRegionIdx)
, pbubVsDepth_(depth, pbub)
{}
virtual ~PBVD() = default;
/**
* Function call.
*
* \param[in] depth Depth at which to calculate RS
* value.
*
* \param[in] Pressure in the cell
*
* \param[in] temp Temperature at which to calculate RS
* value.
*
* \return Dissolved gas-oil ratio (RS) at depth @c
* depth and pressure @c press.
*/
double operator()(const double depth,
const double cellPress,
const double temp,
const double satGas = 0.0) const
{
double press = cellPress;
if (satGas <= 0.0) {
if (pbubVsDepth_.xMin() > depth)
press = pbubVsDepth_.valueAt(0);
else if (pbubVsDepth_.xMax() < depth)
press = pbubVsDepth_.valueAt(pbubVsDepth_.numSamples() - 1);
else
press = pbubVsDepth_.eval(depth, /*extrapolate=*/false);
}
return satRs(std::min(press, cellPress), temp);
}
private:
using PbubVsDepthFunc = Tabulated1DFunction<double>;
const int pvtRegionIdx_;
PbubVsDepthFunc pbubVsDepth_;
double satRs(const double press, const double temp) const
{
return FluidSystem::oilPvt().saturatedGasDissolutionFactor(pvtRegionIdx_, temp, press);
}
};
/**
* Type that implements "vaporized oil-gas ratio"
* tabulated as a function of depth policy. Data
* taken from keyword 'PDVD'.
*/
template <class FluidSystem>
class PDVD : public RsFunction
{
public:
/**
* Constructor.
*
* \param[in] pvtRegionIdx The pvt region index
* \param[in] depth Depth nodes.
* \param[in] pbub Dew-point pressure at @c depth.
*/
PDVD(const int pvtRegionIdx,
const std::vector<double>& depth,
const std::vector<double>& pdew)
: pvtRegionIdx_(pvtRegionIdx)
, pdewVsDepth_(depth, pdew)
{}
virtual ~PDVD() = default;
/**
* Function call.
*
* \param[in] depth Depth at which to calculate RV
* value.
*
* \param[in] cellPress Pressure in the cell
*
* \param[in] temp Temperature at which to calculate RV
* value.
*
* \return Vaporized oil-gas ratio (RV) at depth @c
* depth and pressure @c press.
*/
double operator()(const double depth,
const double cellPress,
const double temp,
const double satOil = 0.0) const
{
double press = cellPress;
if (satOil <= 0.0) {
if (pdewVsDepth_.xMin() > depth)
press = pdewVsDepth_.valueAt(0);
else if (pdewVsDepth_.xMax() < depth)
press = pdewVsDepth_.valueAt(pdewVsDepth_.numSamples() - 1);
else
press = pdewVsDepth_.eval(depth, /*extrapolate=*/false);
}
return satRv(std::min(press, cellPress), temp);
}
private:
using PdewVsDepthFunc = Tabulated1DFunction<double>;
const int pvtRegionIdx_;
PdewVsDepthFunc pdewVsDepth_;
double satRv(const double press, const double temp) const
{
return FluidSystem::gasPvt().saturatedOilVaporizationFactor(pvtRegionIdx_, temp, press);
}
};
/**
* Type that implements "vaporized oil-gas ratio"
* tabulated as a function of depth policy. Data
* typically taken from keyword 'RVVD'.
*/
template <class FluidSystem>
class RvVD : public RsFunction
{
public:
/**
* Constructor.
*
* \param[in] pvtRegionIdx The pvt region index
* \param[in] depth Depth nodes.
* \param[in] rv Dissolved gas-oil ratio at @c depth.
*/
RvVD(const int pvtRegionIdx,
const std::vector<double>& depth,
const std::vector<double>& rv)
: pvtRegionIdx_(pvtRegionIdx)
, rvVsDepth_(depth, rv)
{}
/**
* Function call.
*
* \param[in] depth Depth at which to calculate RV
* value.
*
* \param[in] press Pressure at which to calculate RV
* value.
*
* \param[in] temp Temperature at which to calculate RV
* value.
*
* \return Vaporized oil-gas ratio (RV) at depth @c
* depth and pressure @c press.
*/
double operator()(const double depth,
const double press,
const double temp,
const double satOil = 0.0) const
{
if (std::abs(satOil) > 1e-16) {
return satRv(press, temp);
}
else {
if (rvVsDepth_.xMin() > depth)
return rvVsDepth_.valueAt(0);
else if (rvVsDepth_.xMax() < depth)
return rvVsDepth_.valueAt(rvVsDepth_.numSamples() - 1);
return std::min(satRv(press, temp), rvVsDepth_.eval(depth, /*extrapolate=*/false));
}
}
private:
using RvVsDepthFunc = Tabulated1DFunction<double>;
const int pvtRegionIdx_;
RvVsDepthFunc rvVsDepth_;
double satRv(const double press, const double temp) const
{
return FluidSystem::gasPvt().saturatedOilVaporizationFactor(pvtRegionIdx_, temp, press);
}
};
/**
* Class that implements "dissolved gas-oil ratio" (Rs)
* as function of depth and pressure as follows:
*
* 1. The Rs at the gas-oil contact is equal to the
* saturated Rs value, RsSatContact.
*
* 2. The Rs elsewhere is equal to RsSatContact, but
* constrained to the saturated value as given by the
* local pressure.
*
* This should yield Rs-values that are constant below the
* contact, and decreasing above the contact.
*/
template <class FluidSystem>
class RsSatAtContact : public RsFunction
{
public:
/**
* Constructor.
*
* \param[in] pvtRegionIdx The pvt region index
* \param[in] pContact oil pressure at the contact
* \param[in] T_contact temperature at the contact
*/
RsSatAtContact(const int pvtRegionIdx, const double pContact, const double T_contact)
: pvtRegionIdx_(pvtRegionIdx)
{
rsSatContact_ = satRs(pContact, T_contact);
}
/**
* Function call.
*
* \param[in] depth Depth at which to calculate RS
* value.
*
* \param[in] press Pressure at which to calculate RS
* value.
*
* \param[in] temp Temperature at which to calculate RS
* value.
*
* \return Dissolved gas-oil ratio (RS) at depth @c
* depth and pressure @c press.
*/
double operator()(const double /* depth */,
const double press,
const double temp,
const double satGas = 0.0) const
{
if (satGas > 0.0) {
return satRs(press, temp);
}
else {
return std::min(satRs(press, temp), rsSatContact_);
}
}
private:
const int pvtRegionIdx_;
double rsSatContact_;
double satRs(const double press, const double temp) const
{
return FluidSystem::oilPvt().saturatedGasDissolutionFactor(pvtRegionIdx_, temp, press);
}
};
/**
* Class that implements "vaporized oil-gas ratio" (Rv)
* as function of depth and pressure as follows:
*
* 1. The Rv at the gas-oil contact is equal to the
* saturated Rv value, RvSatContact.
*
* 2. The Rv elsewhere is equal to RvSatContact, but
* constrained to the saturated value as given by the
* local pressure.
*
* This should yield Rv-values that are constant below the
* contact, and decreasing above the contact.
*/
template <class FluidSystem>
class RvSatAtContact : public RsFunction
{
public:
/**
* Constructor.
*
* \param[in] pvtRegionIdx The pvt region index
* \param[in] pContact oil pressure at the contact
* \param[in] T_contact temperature at the contact
*/
RvSatAtContact(const int pvtRegionIdx, const double pContact, const double T_contact)
:pvtRegionIdx_(pvtRegionIdx)
{
rvSatContact_ = satRv(pContact, T_contact);
}
/**
* Function call.
*
* \param[in] depth Depth at which to calculate RV
* value.
*
* \param[in] press Pressure at which to calculate RV
* value.
*
* \param[in] temp Temperature at which to calculate RV
* value.
*
* \return Dissolved oil-gas ratio (RV) at depth @c
* depth and pressure @c press.
*/
double operator()(const double /*depth*/,
const double press,
const double temp,
const double satOil = 0.0) const
{
if (satOil > 0.0) {
return satRv(press, temp);
}
else {
return std::min(satRv(press, temp), rvSatContact_);
}
}
private:
const int pvtRegionIdx_;
double rvSatContact_;
double satRv(const double press, const double temp) const
{
return FluidSystem::gasPvt().saturatedOilVaporizationFactor(pvtRegionIdx_, temp, press);;
}
};
} // namespace Miscibility
/**
* Aggregate information base of an equilibration region.
*
* Provides inquiry methods for retrieving depths of contacs
* and pressure values as well as a means of calculating fluid
* densities, dissolved gas-oil ratio and vapourised oil-gas
* ratios.
*
* \tparam DensCalc Type that provides access to a phase
* density calculation facility. Must implement an operator()
* declared as
* <CODE>
* std::vector<double>
* operator()(const double press,
* const std::vector<double>& svol)
* </CODE>
* that calculates the phase densities of all phases in @c
* svol at fluid pressure @c press.
*/
class EquilReg
{
using TabulatedFunction = Tabulated1DFunction<double>;
public:
/**
* Constructor.
*
* \param[in] rec Equilibration data of current region.
* \param[in] rs Calculator of dissolved gas-oil ratio.
* \param[in] rv Calculator of vapourised oil-gas ratio.
* \param[in] pvtRegionIdx The pvt region index
*/
EquilReg(const EquilRecord& rec,
std::shared_ptr<Miscibility::RsFunction> rs,
std::shared_ptr<Miscibility::RsFunction> rv,
const TabulatedFunction& saltVdTable,
const int pvtIdx)
: rec_ (rec)
, rs_ (rs)
, rv_ (rv)
, saltVdTable_ (saltVdTable)
, pvtIdx_ (pvtIdx)
{}
/**
* Type of dissolved gas-oil ratio calculator.
*/
typedef Miscibility::RsFunction CalcDissolution;
/**
* Type of vapourised oil-gas ratio calculator.
*/
typedef Miscibility::RsFunction CalcEvaporation;
/**
* Datum depth in current region
*/
double datum() const { return this->rec_.datumDepth(); }
/**
* Pressure at datum depth in current region.
*/
double pressure() const { return this->rec_.datumDepthPressure(); }
/**
* Depth of water-oil contact.
*/
double zwoc() const { return this->rec_.waterOilContactDepth(); }
/**
* water-oil capillary pressure at water-oil contact.
*
* \return P_o - P_w at WOC.
*/
double pcowWoc() const { return this->rec_.waterOilContactCapillaryPressure(); }
/**
* Depth of gas-oil contact.
*/
double zgoc() const { return this->rec_.gasOilContactDepth(); }
/**
* Gas-oil capillary pressure at gas-oil contact.
*
* \return P_g - P_o at GOC.
*/
double pcgoGoc() const { return this->rec_.gasOilContactCapillaryPressure(); }
/**
* Accuracy/strategy for initial fluid-in-place calculation.
*
* \return zero (N=0) for centre-point method, negative (N<0) for the
* horizontal subdivision method with 2*(-N) intervals, and positive
* (N>0) for the tilted subdivision method with 2*N intervals.
*/
int equilibrationAccuracy() const
{
return this->rec_.initializationTargetAccuracy();
}
/**
* Retrieve dissolved gas-oil ratio calculator of current
* region.
*/
const CalcDissolution&
dissolutionCalculator() const { return *this->rs_; }
/**
* Retrieve vapourised oil-gas ratio calculator of current
* region.
*/
const CalcEvaporation&
evaporationCalculator() const { return *this->rv_; }
const TabulatedFunction&
saltVdTable() const { return saltVdTable_;}
/**
* Retrieve pvtIdx of the region.
*/
int pvtIdx() const { return this->pvtIdx_; }
private:
EquilRecord rec_; /**< Equilibration data */
std::shared_ptr<Miscibility::RsFunction> rs_; /**< RS calculator */
std::shared_ptr<Miscibility::RsFunction> rv_; /**< RV calculator */
const TabulatedFunction& saltVdTable_;
const int pvtIdx_;
};
/// Functor for inverting capillary pressure function.
/// Function represented is
/// f(s) = pc(s) - targetPc
template <class FluidSystem, class MaterialLaw, class MaterialLawManager>
struct PcEq
{
PcEq(const MaterialLawManager& materialLawManager,
const int phase,
const int cell,
const double targetPc)
: materialLawManager_(materialLawManager),
phase_(phase),
cell_(cell),
targetPc_(targetPc)
{}
double operator()(double s) const
{
const auto& matParams = materialLawManager_.materialLawParams(cell_);
SatOnlyFluidState fluidState;
fluidState.setSaturation(FluidSystem::waterPhaseIdx, 0.0);
fluidState.setSaturation(FluidSystem::oilPhaseIdx, 0.0);
fluidState.setSaturation(FluidSystem::gasPhaseIdx, 0.0);
fluidState.setSaturation(phase_, s);
double pc[FluidSystem::numPhases];
std::fill(pc, pc + FluidSystem::numPhases, 0.0);
MaterialLaw::capillaryPressures(pc, matParams, fluidState);
double sign = (phase_ == FluidSystem::waterPhaseIdx)? -1.0 : 1.0;
double pcPhase = pc[FluidSystem::oilPhaseIdx] + sign * pc[phase_];
return pcPhase - targetPc_;
}
private:
const MaterialLawManager& materialLawManager_;
const int phase_;
const int cell_;
const double targetPc_;
};
template <class FluidSystem, class MaterialLawManager>
double minSaturations(const MaterialLawManager& materialLawManager, const int phase, const int cell)
{
const auto& scaledDrainageInfo =
materialLawManager.oilWaterScaledEpsInfoDrainage(cell);
// Find minimum and maximum saturations.
switch(phase) {
case FluidSystem::waterPhaseIdx:
return scaledDrainageInfo.Swl;
case FluidSystem::gasPhaseIdx:
return scaledDrainageInfo.Sgl;
case FluidSystem::oilPhaseIdx:
throw std::runtime_error("Min saturation not implemented for oil phase.");
default:
throw std::runtime_error("Unknown phaseIdx .");
}
return -1.0;
}
template <class FluidSystem, class MaterialLawManager>
double maxSaturations(const MaterialLawManager& materialLawManager, const int phase, const int cell)
{
const auto& scaledDrainageInfo =
materialLawManager.oilWaterScaledEpsInfoDrainage(cell);
// Find minimum and maximum saturations.
switch(phase) {
case FluidSystem::waterPhaseIdx:
return scaledDrainageInfo.Swu;
case FluidSystem::gasPhaseIdx:
return scaledDrainageInfo.Sgu;
case FluidSystem::oilPhaseIdx:
throw std::runtime_error("Max saturation not implemented for oil phase.");
default:
throw std::runtime_error("Unknown phaseIdx .");
}
return -1.0;
}
/// Compute saturation of some phase corresponding to a given
/// capillary pressure.
template <class FluidSystem, class MaterialLaw, class MaterialLawManager>
double satFromPc(const MaterialLawManager& materialLawManager,
const int phase,
const int cell,
const double targetPc,
const bool increasing = false)
{
// Find minimum and maximum saturations.
double s0 = increasing ? maxSaturations<FluidSystem>(materialLawManager, phase, cell) : minSaturations<FluidSystem>(materialLawManager, phase, cell);
double s1 = increasing ? minSaturations<FluidSystem>(materialLawManager, phase, cell) : maxSaturations<FluidSystem>(materialLawManager, phase, cell);
// Create the equation f(s) = pc(s) - targetPc
const PcEq<FluidSystem, MaterialLaw, MaterialLawManager> f(materialLawManager, phase, cell, targetPc);
double f0 = f(s0);
double f1 = f(s1);
if (!std::isfinite(f0 + f1))
throw std::logic_error(fmt::format("The capillary pressure values {} and {} are not finite", f0, f1));
if (f0 <= 0.0)
return s0;
else if (f1 >= 0.0)
return s1;
const double tol = 1e-10;
// should at least converge in 2 times bisection but some safety here:
const int maxIter = -2*static_cast<int>(std::log2(tol)) + 10;
int usedIterations = -1;
const double root = RegulaFalsiBisection<ThrowOnError>::solve(f, s0, s1, maxIter, tol, usedIterations);
return root;
}
/// Functor for inverting a sum of capillary pressure functions.
/// Function represented is
/// f(s) = pc1(s) + pc2(1 - s) - targetPc
template <class FluidSystem, class MaterialLaw, class MaterialLawManager>
struct PcEqSum
{
PcEqSum(const MaterialLawManager& materialLawManager,
const int phase1,
const int phase2,
const int cell,
const double targetPc)
: materialLawManager_(materialLawManager),
phase1_(phase1),
phase2_(phase2),
cell_(cell),
targetPc_(targetPc)
{}
double operator()(double s) const
{
const auto& matParams = materialLawManager_.materialLawParams(cell_);
SatOnlyFluidState fluidState;
fluidState.setSaturation(FluidSystem::waterPhaseIdx, 0.0);
fluidState.setSaturation(FluidSystem::oilPhaseIdx, 0.0);
fluidState.setSaturation(FluidSystem::gasPhaseIdx, 0.0);
fluidState.setSaturation(phase1_, s);
fluidState.setSaturation(phase2_, 1.0 - s);
double pc[FluidSystem::numPhases];
std::fill(pc, pc + FluidSystem::numPhases, 0.0);
MaterialLaw::capillaryPressures(pc, matParams, fluidState);
double sign1 = (phase1_ == FluidSystem::waterPhaseIdx)? -1.0 : 1.0;
double pc1 = pc[FluidSystem::oilPhaseIdx] + sign1 * pc[phase1_];
double sign2 = (phase2_ == FluidSystem::waterPhaseIdx)? -1.0 : 1.0;
double pc2 = pc[FluidSystem::oilPhaseIdx] + sign2 * pc[phase2_];
return pc1 + pc2 - targetPc_;
}
private:
const MaterialLawManager& materialLawManager_;
const int phase1_;
const int phase2_;
const int cell_;
const double targetPc_;
};
/// Compute saturation of some phase corresponding to a given
/// capillary pressure, where the capillary pressure function
/// is given as a sum of two other functions.
template <class FluidSystem, class MaterialLaw, class MaterialLawManager>
double satFromSumOfPcs(const MaterialLawManager& materialLawManager,
const int phase1,
const int phase2,
const int cell,
const double targetPc)
{
// Find minimum and maximum saturations.
double s0 = minSaturations<FluidSystem>(materialLawManager, phase1, cell);
double s1 = maxSaturations<FluidSystem>(materialLawManager, phase1, cell);
// Create the equation f(s) = pc1(s) + pc2(1-s) - targetPc
const PcEqSum<FluidSystem, MaterialLaw, MaterialLawManager> f(materialLawManager, phase1, phase2, cell, targetPc);
double f0 = f(s0);
double f1 = f(s1);
if (f0 <= 0.0)
return s0;
else if (f1 >= 0.0)
return s1;
assert(f0 > 0.0 && f1 < 0.0);
const double tol = 1e-10;
// should at least converge in 2 times bisection but some safety here:
const int maxIter = -2*static_cast<int>(std::log2(tol)) + 10;
int usedIterations = -1;
const double root = RegulaFalsiBisection<ThrowOnError>::solve(f, s0, s1, maxIter, tol, usedIterations);
return root;
}
/// Compute saturation from depth. Used for constant capillary pressure function
template <class FluidSystem, class MaterialLaw, class MaterialLawManager>
double satFromDepth(const MaterialLawManager& materialLawManager,
const double cellDepth,
const double contactDepth,
const int phase,
const int cell,
const bool increasing = false)
{
const double s0 = increasing ? maxSaturations<FluidSystem>(materialLawManager, phase, cell) : minSaturations<FluidSystem>(materialLawManager, phase, cell);
const double s1 = increasing ? minSaturations<FluidSystem>(materialLawManager, phase, cell) : maxSaturations<FluidSystem>(materialLawManager, phase, cell);
if (cellDepth < contactDepth) {
return s0;
}
else {
return s1;
}
}
/// Return true if capillary pressure function is constant
template <class FluidSystem, class MaterialLaw, class MaterialLawManager>
bool isConstPc(const MaterialLawManager& materialLawManager,
const int phase,
const int cell)
{
// Create the equation f(s) = pc(s);
const PcEq<FluidSystem, MaterialLaw, MaterialLawManager> f(materialLawManager, phase, cell, 0);
const double f0 = f(minSaturations<FluidSystem>(materialLawManager, phase, cell));
const double f1 = f(maxSaturations<FluidSystem>(materialLawManager, phase, cell));
return std::abs(f0 - f1) < std::numeric_limits<double>::epsilon();
}
} // namespace Equil
} // namespace Opm
#endif // EWOMS_EQUILIBRATIONHELPERS_HH
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