CO2.hpp

Go to the documentation of this file.

// -*- 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.
*/
#ifndef OPM_CO2_HPP
#define OPM_CO2_HPP
 
#include <opm/material/Constants.hpp>
#include <opm/material/IdealGas.hpp>
#include <opm/material/components/Component.hpp>
#include <opm/material/common/MathToolbox.hpp>
 
#include <cmath>
#include <iostream>
 
namespace Opm {
 
template <class Scalar, class CO2Tables>
class CO2 : public Component<Scalar, CO2<Scalar, CO2Tables> >
{
    static constexpr Scalar R = Constants<Scalar>::R;
 
public:
    static const char* name()
    { return "CO2"; }
 
    static Scalar molarMass()
    { return 44e-3; }
 
    static Scalar criticalTemperature()
    { return 273.15 + 30.95; /* [K] */ }
 
    static Scalar criticalPressure()
    { return 73.8e5; /* [N/m^2] */ }
 
    static Scalar tripleTemperature()
    { return 273.15 - 56.35; /* [K] */ }
 
    static Scalar triplePressure()
    { return 5.11e5; /* [N/m^2] */ }
 
    static Scalar minTabulatedPressure()
    { return CO2Tables::tabulatedEnthalpy.minPress(); /* [N/m^2] */ }
 
    static Scalar maxTabulatedPressure()
    { return CO2Tables::tabulatedEnthalpy.maxPress(); /* [N/m^2] */ }
 
    static Scalar minTabulatedTemperature()
    { return CO2Tables::tabulatedEnthalpy.minTemp(); /* [N/m^2] */ }
 
    static Scalar maxTabulatedTemperature()
    { return CO2Tables::tabulatedEnthalpy.maxTemp(); /* [N/m^2] */ }
 
    template <class Evaluation>
    static Evaluation vaporPressure(const Evaluation& T)
    {
        static constexpr Scalar a[4] =
            { -7.0602087, 1.9391218, -1.6463597, -3.2995634 };
        static constexpr Scalar t[4] =
            { 1.0, 1.5, 2.0, 4.0 };
 
        // this is on page 1524 of the reference
        Evaluation exponent = 0;
        Evaluation Tred = T/criticalTemperature();
        for (int i = 0; i < 4; ++i)
            exponent += a[i]*pow(1 - Tred, t[i]);
        exponent *= 1.0/Tred;
 
        return exp(exponent)*criticalPressure();
    }
 
 
    static bool gasIsCompressible()
    { return true; }
 
    static bool gasIsIdeal()
    { return false; }
 
    template <class Evaluation>
    static Evaluation gasEnthalpy(const Evaluation& temperature,
                                  const Evaluation& pressure,
                                  bool extrapolate = false)
    {
        return CO2Tables::tabulatedEnthalpy.eval(temperature, pressure, extrapolate);
    }
 
    template <class Evaluation>
    static Evaluation gasInternalEnergy(const Evaluation& temperature,
                                        const Evaluation& pressure,
                                        bool extrapolate = false)
    {
        const Evaluation h = gasEnthalpy(temperature, pressure, extrapolate);
        const Evaluation rho = gasDensity(temperature, pressure, extrapolate);
 
        return h - (pressure / rho);
    }
 
    template <class Evaluation>
    static Evaluation gasDensity(const Evaluation& temperature,
                                 const Evaluation& pressure,
                                 bool extrapolate = false)
    {
        return CO2Tables::tabulatedDensity.eval(temperature, pressure, extrapolate);
    }
 
    template <class Evaluation>
    static Evaluation gasViscosity(Evaluation temperature,
                                   const Evaluation& pressure,
                                   bool extrapolate = false)
    {
        constexpr Scalar a0 = 0.235156;
        constexpr Scalar a1 = -0.491266;
        constexpr Scalar a2 = 5.211155e-2;
        constexpr Scalar a3 = 5.347906e-2;
        constexpr Scalar a4 = -1.537102e-2;
 
        constexpr Scalar d11 = 0.4071119e-2;
        constexpr Scalar d21 = 0.7198037e-4;
        constexpr Scalar d64 = 0.2411697e-16;
        constexpr Scalar d81 = 0.2971072e-22;
        constexpr Scalar d82 = -0.1627888e-22;
 
        constexpr Scalar ESP = 251.196;
 
        if(temperature < 275.) // regularization
            temperature = 275.0;
        Evaluation TStar = temperature/ESP;
 
        // mu0: viscosity in zero-density limit
        const Evaluation logTStar = log(TStar);
        Evaluation SigmaStar = exp(a0 + logTStar*(a1 + logTStar*(a2 + logTStar*(a3 + logTStar*a4))));
 
        Evaluation mu0 = 1.00697*sqrt(temperature) / SigmaStar;
 
        const Evaluation rho = gasDensity(temperature, pressure, extrapolate); // CO2 mass density [kg/m^3]
 
        // dmu : excess viscosity at elevated density
        Evaluation dmu =
            d11*rho
            + d21*rho*rho
            + d64*pow(rho, 6.0)/(TStar*TStar*TStar)
            + d81*pow(rho, 8.0)
            + d82*pow(rho, 8.0)/TStar;
 
        return (mu0 + dmu)/1.0e6; // conversion to [Pa s]
    }
 
    template <class Evaluation>
    static Evaluation gasHeatCapacity(const Evaluation& temperature, const Evaluation& pressure)
    {
        constexpr Scalar eps = 1e-6;
 
        // use central differences here because one-sided methods do
        // not come with a performance improvement. (central ones are
        // more accurate, though...)
        const Evaluation h1 = gasEnthalpy(temperature - eps, pressure);
        const Evaluation h2 = gasEnthalpy(temperature + eps, pressure);
 
        return (h2 - h1) / (2*eps) ;
    }
};
 
} // namespace Opm
 
#endif