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opm-common/opm/material/fluidsystems/H2OAirFluidSystem.hpp
2021-06-18 13:24:02 +02:00

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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 2 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
* \copydoc Opm::H2OAirFluidSystem
*/
#ifndef OPM_H2O_AIR_SYSTEM_HPP
#define OPM_H2O_AIR_SYSTEM_HPP
#include "BaseFluidSystem.hpp"
#include "NullParameterCache.hpp"
#include <opm/material/IdealGas.hpp>
#include <opm/material/binarycoefficients/H2O_Air.hpp>
#include <opm/material/components/Air.hpp>
#include <opm/material/components/H2O.hpp>
#include <opm/material/components/TabulatedComponent.hpp>
#include <opm/material/common/Valgrind.hpp>
#include <iostream>
#include <cassert>
namespace Opm {
/*!
* \ingroup Fluidsystems
*
* \brief A fluid system with a liquid and a gaseous phase and water and air
* as components.
*
* This fluidsystem is applied by default with the tabulated version of
* water of the IAPWS-formulation.
*/
template <class Scalar,
//class H2Otype = SimpleH2O<Scalar>,
class H2Otype = TabulatedComponent<Scalar, H2O<Scalar> >>
class H2OAirFluidSystem
: public BaseFluidSystem<Scalar, H2OAirFluidSystem<Scalar, H2Otype> >
{
typedef H2OAirFluidSystem<Scalar,H2Otype> ThisType;
typedef BaseFluidSystem <Scalar, ThisType> Base;
typedef ::Opm::IdealGas<Scalar> IdealGas;
public:
template <class Evaluation>
struct ParameterCache : public NullParameterCache<Evaluation>
{};
//! The type of the water component used for this fluid system
typedef H2Otype H2O;
//! The type of the air component used for this fluid system
typedef ::Opm::Air<Scalar> Air;
//! \copydoc BaseFluidSystem::numPhases
static const int numPhases = 2;
//! The index of the liquid phase
static const int liquidPhaseIdx = 0;
//! The index of the gas phase
static const int gasPhaseIdx = 1;
//! \copydoc BaseFluidSystem::phaseName
static const char* phaseName(unsigned phaseIdx)
{
switch (phaseIdx) {
case liquidPhaseIdx: return "liquid";
case gasPhaseIdx: return "gas";
};
throw std::logic_error("Invalid phase index "+std::to_string(phaseIdx));
}
//! \copydoc BaseFluidSystem::isLiquid
static bool isLiquid(unsigned phaseIdx)
{
//assert(0 <= phaseIdx && phaseIdx < numPhases);
return phaseIdx != gasPhaseIdx;
}
//! \copydoc BaseFluidSystem::isCompressible
static bool isCompressible(unsigned phaseIdx)
{
//assert(0 <= phaseIdx && phaseIdx < numPhases);
return (phaseIdx == gasPhaseIdx)
// ideal gases are always compressible
? true
:
// the water component decides for the liquid phase...
H2O::liquidIsCompressible();
}
//! \copydoc BaseFluidSystem::isIdealGas
static bool isIdealGas(unsigned phaseIdx)
{
return
(phaseIdx == gasPhaseIdx)
? H2O::gasIsIdeal() && Air::gasIsIdeal()
: false;
}
//! \copydoc BaseFluidSystem::isIdealMixture
static bool isIdealMixture(unsigned /*phaseIdx*/)
{
//assert(0 <= phaseIdx && phaseIdx < numPhases);
// we assume Henry's and Rault's laws for the water phase and
// and no interaction between gas molecules of different
// components, so all phases are ideal mixtures!
return true;
}
/****************************************
* Component related static parameters
****************************************/
//! \copydoc BaseFluidSystem::numComponents
static const int numComponents = 2;
//! The index of the water component
static const int H2OIdx = 0;
//! The index of the air component
static const int AirIdx = 1;
//! \copydoc BaseFluidSystem::componentName
static const char* componentName(unsigned compIdx)
{
switch (compIdx)
{
case H2OIdx: return H2O::name();
case AirIdx: return Air::name();
};
throw std::logic_error("Invalid component index "+std::to_string(compIdx));
}
//! \copydoc BaseFluidSystem::molarMass
static Scalar molarMass(unsigned compIdx)
{
return
(compIdx == H2OIdx)
? H2O::molarMass()
: (compIdx == AirIdx)
? Air::molarMass()
: 1e30;
}
/*!
* \brief Critical temperature of a component [K].
*
* \param compIdx The index of the component to consider
*/
static Scalar criticalTemperature(unsigned compIdx)
{
return
(compIdx == H2OIdx)
? H2O::criticalTemperature()
: (compIdx == AirIdx)
? Air::criticalTemperature()
: 1e30;
}
/*!
* \brief Critical pressure of a component [Pa].
*
* \param compIdx The index of the component to consider
*/
static Scalar criticalPressure(unsigned compIdx)
{
return
(compIdx == H2OIdx)
? H2O::criticalPressure()
: (compIdx == AirIdx)
? Air::criticalPressure()
: 1e30;
}
/*!
* \brief The acentric factor of a component [].
*
* \param compIdx The index of the component to consider
*/
static Scalar acentricFactor(unsigned compIdx)
{
return
(compIdx == H2OIdx)
? H2O::acentricFactor()
: (compIdx == AirIdx)
? Air::acentricFactor()
: 1e30;
}
/****************************************
* thermodynamic relations
****************************************/
/*!
* \copydoc BaseFluidSystem::init
*
* If a tabulated H2O component is used, we do our best to create
* tables that always work.
*/
static void init()
{
if (H2O::isTabulated)
init(/*tempMin=*/273.15,
/*tempMax=*/623.15,
/*numTemp=*/50,
/*pMin=*/-10,
/*pMax=*/20e6,
/*numP=*/50);
}
/*!
* \brief Initialize the fluid system's static parameters using
* problem specific temperature and pressure ranges
*
* \param tempMin The minimum temperature used for tabulation of water [K]
* \param tempMax The maximum temperature used for tabulation of water [K]
* \param nTemp The number of ticks on the temperature axis of the table of water
* \param pressMin The minimum pressure used for tabulation of water [Pa]
* \param pressMax The maximum pressure used for tabulation of water [Pa]
* \param nPress The number of ticks on the pressure axis of the table of water
*/
static void init(Scalar tempMin, Scalar tempMax, unsigned nTemp,
Scalar pressMin, Scalar pressMax, unsigned nPress)
{
if (H2O::isTabulated) {
H2O::init(tempMin, tempMax, nTemp,
pressMin, pressMax, nPress);
}
}
//! \copydoc BaseFluidSystem::density
template <class FluidState, class LhsEval = typename FluidState::Scalar, class ParamCacheEval = LhsEval>
static LhsEval density(const FluidState& fluidState,
const ParameterCache<ParamCacheEval>& /*paramCache*/,
unsigned phaseIdx)
{
assert(phaseIdx < numPhases);
const auto& T = decay<LhsEval>(fluidState.temperature(phaseIdx));
LhsEval p;
if (isCompressible(phaseIdx))
p = decay<LhsEval>(fluidState.pressure(phaseIdx));
else {
// random value which will hopefully cause things to blow
// up if it is used in a calculation!
p = - 1e30;
Valgrind::SetUndefined(p);
}
LhsEval sumMoleFrac = 0;
for (unsigned compIdx = 0; compIdx < numComponents; ++compIdx)
sumMoleFrac += decay<LhsEval>(fluidState.moleFraction(phaseIdx, compIdx));
if (phaseIdx == liquidPhaseIdx)
{
// assume ideal mixture: Molecules of one component don't discriminate
// between their own kind and molecules of the other component.
const LhsEval& clH2O = H2O::liquidDensity(T, p)/H2O::molarMass();
const auto& xlH2O = decay<LhsEval>(fluidState.moleFraction(liquidPhaseIdx, H2OIdx));
const auto& xlAir = decay<LhsEval>(fluidState.moleFraction(liquidPhaseIdx, AirIdx));
return clH2O*(H2O::molarMass()*xlH2O + Air::molarMass()*xlAir)/sumMoleFrac;
}
else if (phaseIdx == gasPhaseIdx)
{
LhsEval partialPressureH2O =
decay<LhsEval>(fluidState.moleFraction(gasPhaseIdx, H2OIdx))
*decay<LhsEval>(fluidState.pressure(gasPhaseIdx));
LhsEval partialPressureAir =
decay<LhsEval>(fluidState.moleFraction(gasPhaseIdx, AirIdx))
*decay<LhsEval>(fluidState.pressure(gasPhaseIdx));
return H2O::gasDensity(T, partialPressureH2O) + Air::gasDensity(T, partialPressureAir);
}
throw std::logic_error("Invalid phase index "+std::to_string(phaseIdx));
}
//! \copydoc BaseFluidSystem::viscosity
template <class FluidState, class LhsEval = typename FluidState::Scalar, class ParamCacheEval = LhsEval>
static LhsEval viscosity(const FluidState& fluidState,
const ParameterCache<ParamCacheEval>& /*paramCache*/,
unsigned phaseIdx)
{
assert(phaseIdx < numPhases);
const auto& T = decay<LhsEval>(fluidState.temperature(phaseIdx));
const auto& p = decay<LhsEval>(fluidState.pressure(phaseIdx));
if (phaseIdx == liquidPhaseIdx)
{
// assume pure water for the liquid phase
// TODO: viscosity of mixture
// couldn't find a way to solve the mixture problem
return H2O::liquidViscosity(T, p);
}
else if (phaseIdx == gasPhaseIdx)
{
/* Wilke method. See:
*
* See: R. Reid, et al.: The Properties of Gases and Liquids,
* 4th edition, McGraw-Hill, 1987, 407-410 or
* 5th edition, McGraw-Hill, 2000, p. 9.21/22
*/
LhsEval muResult = 0;
const LhsEval mu[numComponents] = {
H2O::gasViscosity(T, H2O::vaporPressure(T)),
Air::gasViscosity(T, p)
};
for (unsigned i = 0; i < numComponents; ++i) {
LhsEval divisor = 0;
for (unsigned j = 0; j < numComponents; ++j) {
LhsEval phiIJ =
1 +
sqrt(mu[i]/mu[j]) * // 1 + (mu[i]/mu[j]^1/2
std::pow(molarMass(j)/molarMass(i), 1./4.0); // (M[i]/M[j])^1/4
phiIJ *= phiIJ;
phiIJ /= std::sqrt(8*(1 + molarMass(i)/molarMass(j)));
divisor += decay<LhsEval>(fluidState.moleFraction(phaseIdx, j))*phiIJ;
}
const auto& xAlphaI = decay<LhsEval>(fluidState.moleFraction(phaseIdx, i));
muResult += xAlphaI*mu[i]/divisor;
}
return muResult;
}
throw std::logic_error("Invalid phase index "+std::to_string(phaseIdx));
}
//! \copydoc BaseFluidSystem::fugacityCoefficient
template <class FluidState, class LhsEval = typename FluidState::Scalar, class ParamCacheEval = LhsEval>
static LhsEval fugacityCoefficient(const FluidState& fluidState,
const ParameterCache<ParamCacheEval>& /*paramCache*/,
unsigned phaseIdx,
unsigned compIdx)
{
assert(phaseIdx < numPhases);
assert(compIdx < numComponents);
const auto& T = decay<LhsEval>(fluidState.temperature(phaseIdx));
const auto& p = decay<LhsEval>(fluidState.pressure(phaseIdx));
if (phaseIdx == liquidPhaseIdx) {
if (compIdx == H2OIdx)
return H2O::vaporPressure(T)/p;
return BinaryCoeff::H2O_Air::henry(T)/p;
}
// for the gas phase, assume an ideal gas when it comes to
// fugacity (-> fugacity == partial pressure)
return 1.0;
}
//! \copydoc BaseFluidSystem::diffusionCoefficient
template <class FluidState, class LhsEval = typename FluidState::Scalar, class ParamCacheEval = LhsEval>
static LhsEval binaryDiffusionCoefficient(const FluidState& fluidState,
const ParameterCache<ParamCacheEval>& /*paramCache*/,
unsigned phaseIdx,
unsigned /*compIdx*/)
{
const auto& T = decay<LhsEval>(fluidState.temperature(phaseIdx));
const auto& p = decay<LhsEval>(fluidState.pressure(phaseIdx));
if (phaseIdx == liquidPhaseIdx)
return BinaryCoeff::H2O_Air::liquidDiffCoeff(T, p);
assert(phaseIdx == gasPhaseIdx);
return BinaryCoeff::H2O_Air::gasDiffCoeff(T, p);
}
//! \copydoc BaseFluidSystem::enthalpy
template <class FluidState, class LhsEval = typename FluidState::Scalar, class ParamCacheEval = LhsEval>
static LhsEval enthalpy(const FluidState& fluidState,
const ParameterCache<ParamCacheEval>& /*paramCache*/,
unsigned phaseIdx)
{
const auto& T = decay<LhsEval>(fluidState.temperature(phaseIdx));
const auto& p = decay<LhsEval>(fluidState.pressure(phaseIdx));
Valgrind::CheckDefined(T);
Valgrind::CheckDefined(p);
if (phaseIdx == liquidPhaseIdx)
{
// TODO: correct way to deal with the solutes???
return H2O::liquidEnthalpy(T, p);
}
else if (phaseIdx == gasPhaseIdx)
{
LhsEval result = 0.0;
result +=
H2O::gasEnthalpy(T, p) *
decay<LhsEval>(fluidState.massFraction(gasPhaseIdx, H2OIdx));
result +=
Air::gasEnthalpy(T, p) *
decay<LhsEval>(fluidState.massFraction(gasPhaseIdx, AirIdx));
return result;
}
throw std::logic_error("Invalid phase index "+std::to_string(phaseIdx));
}
//! \copydoc BaseFluidSystem::thermalConductivity
template <class FluidState, class LhsEval = typename FluidState::Scalar, class ParamCacheEval = LhsEval>
static LhsEval thermalConductivity(const FluidState& fluidState,
const ParameterCache<ParamCacheEval>& /*paramCache*/,
unsigned phaseIdx)
{
assert(phaseIdx < numPhases);
const LhsEval& temperature =
decay<LhsEval>(fluidState.temperature(phaseIdx));
const LhsEval& pressure =
decay<LhsEval>(fluidState.pressure(phaseIdx));
if (phaseIdx == liquidPhaseIdx)
return H2O::liquidThermalConductivity(temperature, pressure);
else { // gas phase
const LhsEval& lambdaDryAir = Air::gasThermalConductivity(temperature, pressure);
const LhsEval& xAir =
decay<LhsEval>(fluidState.moleFraction(phaseIdx, AirIdx));
const LhsEval& xH2O =
decay<LhsEval>(fluidState.moleFraction(phaseIdx, H2OIdx));
LhsEval lambdaAir = xAir*lambdaDryAir;
// Assuming Raoult's, Daltons law and ideal gas
// in order to obtain the partial density of water in the air phase
LhsEval partialPressure = pressure*xH2O;
LhsEval lambdaH2O =
xH2O*H2O::gasThermalConductivity(temperature, partialPressure);
return lambdaAir + lambdaH2O;
}
}
};
} // namespace Opm
#endif