// -*- 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 . 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 This is test for the SPE5 fluid system (which uses the * Peng-Robinson EOS) and the NCP flash solver. */ #include "config.h" #include #include #include #include #include #include #include #include #include template void createSurfaceGasFluidSystem(FluidState& gasFluidState) { static const int gasPhaseIdx = FluidSystem::gasPhaseIdx; // temperature gasFluidState.setTemperature(273.15 + 20); // gas pressure gasFluidState.setPressure(gasPhaseIdx, 1e5); // gas saturation gasFluidState.setSaturation(gasPhaseIdx, 1.0); // gas composition: mostly methane, a bit of propane gasFluidState.setMoleFraction(gasPhaseIdx, FluidSystem::H2OIdx, 0.0); gasFluidState.setMoleFraction(gasPhaseIdx, FluidSystem::C1Idx, 0.94); gasFluidState.setMoleFraction(gasPhaseIdx, FluidSystem::C3Idx, 0.06); gasFluidState.setMoleFraction(gasPhaseIdx, FluidSystem::C6Idx, 0.00); gasFluidState.setMoleFraction(gasPhaseIdx, FluidSystem::C10Idx, 0.00); gasFluidState.setMoleFraction(gasPhaseIdx, FluidSystem::C15Idx, 0.00); gasFluidState.setMoleFraction(gasPhaseIdx, FluidSystem::C20Idx, 0.00); // gas density typename FluidSystem::template ParameterCache paramCache; paramCache.updatePhase(gasFluidState, gasPhaseIdx); gasFluidState.setDensity(gasPhaseIdx, FluidSystem::density(gasFluidState, paramCache, gasPhaseIdx)); } template Scalar computeSumxg(FluidState& resultFluidState, const FluidState& prestineFluidState, const FluidState& gasFluidState, Scalar additionalGas) { static const int oilPhaseIdx = FluidSystem::oilPhaseIdx; static const int gasPhaseIdx = FluidSystem::gasPhaseIdx; static const int numComponents = FluidSystem::numComponents; typedef Dune::FieldVector ComponentVector; typedef Opm::NcpFlash Flash; resultFluidState.assign(prestineFluidState); // add a bit of additional gas components ComponentVector totalMolarities; for (unsigned compIdx = 0; compIdx < FluidSystem::numComponents; ++ compIdx) totalMolarities = prestineFluidState.molarity(oilPhaseIdx, compIdx) + additionalGas*gasFluidState.moleFraction(gasPhaseIdx, compIdx); // "flash" the modified fluid state typename FluidSystem::ParameterCache paramCache; Flash::solve(resultFluidState, totalMolarities); Scalar sumxg = 0; for (unsigned compIdx = 0; compIdx < FluidSystem::numComponents; ++compIdx) sumxg += resultFluidState.moleFraction(gasPhaseIdx, compIdx); return sumxg; } template void makeOilSaturated(FluidState& fluidState, const FluidState& gasFluidState) { static const int gasPhaseIdx = FluidSystem::gasPhaseIdx; FluidState prestineFluidState; prestineFluidState.assign(fluidState); Scalar sumxg = 0; for (unsigned compIdx = 0; compIdx < FluidSystem::numComponents; ++compIdx) sumxg += fluidState.moleFraction(gasPhaseIdx, compIdx); // Newton method Scalar tol = 1e-8; Scalar additionalGas = 0; // [mol] for (int i = 0; std::abs(sumxg - 1) > tol; ++i) { if (i > 50) throw std::runtime_error("Newton method did not converge after 50 iterations"); Scalar eps = std::max(1e-8, additionalGas*1e-8); Scalar f = 1 - computeSumxg(prestineFluidState, fluidState, gasFluidState, additionalGas); Scalar fStar = 1 - computeSumxg(prestineFluidState, fluidState, gasFluidState, additionalGas + eps); Scalar fPrime = (fStar - f)/eps; additionalGas -= f/fPrime; }; } template void guessInitial(FluidState& fluidState, unsigned phaseIdx) { if (phaseIdx == FluidSystem::gasPhaseIdx) { fluidState.setMoleFraction(phaseIdx, FluidSystem::H2OIdx, 0.0); fluidState.setMoleFraction(phaseIdx, FluidSystem::C1Idx, 0.74785); fluidState.setMoleFraction(phaseIdx, FluidSystem::C3Idx, 0.0121364); fluidState.setMoleFraction(phaseIdx, FluidSystem::C6Idx, 0.00606028); fluidState.setMoleFraction(phaseIdx, FluidSystem::C10Idx, 0.00268136); fluidState.setMoleFraction(phaseIdx, FluidSystem::C15Idx, 0.000204256); fluidState.setMoleFraction(phaseIdx, FluidSystem::C20Idx, 8.78291e-06); } else if (phaseIdx == FluidSystem::oilPhaseIdx) { fluidState.setMoleFraction(phaseIdx, FluidSystem::H2OIdx, 0.0); fluidState.setMoleFraction(phaseIdx, FluidSystem::C1Idx, 0.50); fluidState.setMoleFraction(phaseIdx, FluidSystem::C3Idx, 0.03); fluidState.setMoleFraction(phaseIdx, FluidSystem::C6Idx, 0.07); fluidState.setMoleFraction(phaseIdx, FluidSystem::C10Idx, 0.20); fluidState.setMoleFraction(phaseIdx, FluidSystem::C15Idx, 0.15); fluidState.setMoleFraction(phaseIdx, FluidSystem::C20Idx, 0.05); } else { assert(phaseIdx == FluidSystem::waterPhaseIdx); } } template Scalar bringOilToSurface(FluidState& surfaceFluidState, Scalar alpha, const FluidState& reservoirFluidState, bool guessInitial) { enum { numPhases = FluidSystem::numPhases, waterPhaseIdx = FluidSystem::waterPhaseIdx, gasPhaseIdx = FluidSystem::gasPhaseIdx, oilPhaseIdx = FluidSystem::oilPhaseIdx, numComponents = FluidSystem::numComponents }; typedef Opm::NcpFlash Flash; typedef Opm::ThreePhaseMaterialTraits MaterialTraits; typedef Opm::LinearMaterial MaterialLaw; typedef typename MaterialLaw::Params MaterialLawParams; typedef Dune::FieldVector ComponentVector; const Scalar refPressure = 1.0135e5; // [Pa] // set the parameters for the capillary pressure law MaterialLawParams matParams; for (unsigned phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) { matParams.setPcMinSat(phaseIdx, 0.0); matParams.setPcMaxSat(phaseIdx, 0.0); } matParams.finalize(); // retieve the global volumetric component molarities surfaceFluidState.setTemperature(273.15 + 20); ComponentVector molarities; for (unsigned compIdx = 0; compIdx < numComponents; ++ compIdx) molarities[compIdx] = reservoirFluidState.molarity(oilPhaseIdx, compIdx); if (guessInitial) { // we start at a fluid state with reservoir oil. for (unsigned phaseIdx = 0; phaseIdx < numPhases; ++ phaseIdx) { for (unsigned compIdx = 0; compIdx < numComponents; ++ compIdx) { surfaceFluidState.setMoleFraction(phaseIdx, compIdx, reservoirFluidState.moleFraction(phaseIdx, compIdx)); } surfaceFluidState.setDensity(phaseIdx, reservoirFluidState.density(phaseIdx)); surfaceFluidState.setPressure(phaseIdx, reservoirFluidState.pressure(phaseIdx)); surfaceFluidState.setSaturation(phaseIdx, 0.0); } surfaceFluidState.setSaturation(oilPhaseIdx, 1.0); surfaceFluidState.setSaturation(gasPhaseIdx, 1.0 - surfaceFluidState.saturation(oilPhaseIdx)); } typename FluidSystem::template ParameterCache paramCache; paramCache.updateAll(surfaceFluidState); // increase volume until we are at surface pressure. use the // newton method for this ComponentVector tmpMolarities; for (int i = 0;; ++i) { if (i >= 20) throw Opm::NumericalIssue("Newton method did not converge after 20 iterations"); // calculate the deviation from the standard pressure tmpMolarities = molarities; tmpMolarities /= alpha; Flash::template solve(surfaceFluidState, matParams, paramCache, tmpMolarities); Scalar f = surfaceFluidState.pressure(gasPhaseIdx) - refPressure; // calculate the derivative of the deviation from the standard // pressure Scalar eps = alpha*1e-10; tmpMolarities = molarities; tmpMolarities /= alpha + eps; Flash::template solve(surfaceFluidState, matParams, paramCache, tmpMolarities); Scalar fStar = surfaceFluidState.pressure(gasPhaseIdx) - refPressure; Scalar fPrime = (fStar - f)/eps; // newton update Scalar delta = f/fPrime; alpha -= delta; if (std::abs(delta) < std::abs(alpha)*1e-9) { break; } } // calculate the final result tmpMolarities = molarities; tmpMolarities /= alpha; Flash::template solve(surfaceFluidState, matParams, paramCache, tmpMolarities); return alpha; } template void printResult(const RawTable& rawTable, const std::string& fieldName, size_t firstIdx, size_t secondIdx, double hiresThres) { std::cout << "std::vector > "< hiresThres; ++numRawHires) {} for (; sampleIdx < numSamples; ++sampleIdx) { size_t rawIdx = sampleIdx*numRawHires/numSamples; std::cout << "{ " << rawTable[rawIdx][firstIdx] << ", " << rawTable[rawIdx][secondIdx] << " }" << ",\n"; } numSamples = 15; for (sampleIdx = 0; sampleIdx < numSamples; ++sampleIdx) { size_t rawIdx = sampleIdx*(rawTable.size() - numRawHires)/numSamples + numRawHires; std::cout << "{ " << rawTable[rawIdx][firstIdx] << ", " << rawTable[rawIdx][secondIdx] << " }"; if (sampleIdx < numSamples - 1) std::cout << ",\n"; else std::cout << "\n"; } std::cout << "};\n"; } template inline void testAll() { typedef Opm::Spe5FluidSystem FluidSystem; enum { numPhases = FluidSystem::numPhases, waterPhaseIdx = FluidSystem::waterPhaseIdx, gasPhaseIdx = FluidSystem::gasPhaseIdx, oilPhaseIdx = FluidSystem::oilPhaseIdx, numComponents = FluidSystem::numComponents, H2OIdx = FluidSystem::H2OIdx, C1Idx = FluidSystem::C1Idx, C3Idx = FluidSystem::C3Idx, C6Idx = FluidSystem::C6Idx, C10Idx = FluidSystem::C10Idx, C15Idx = FluidSystem::C15Idx, C20Idx = FluidSystem::C20Idx }; typedef Opm::NcpFlash Flash; typedef Dune::FieldVector ComponentVector; typedef Opm::CompositionalFluidState FluidState; typedef Opm::ThreePhaseMaterialTraits MaterialTraits; typedef Opm::LinearMaterial MaterialLaw; typedef typename MaterialLaw::Params MaterialLawParams; typedef typename FluidSystem::template ParameterCache ParameterCache; //////////// // Initialize the fluid system and create the capillary pressure // parameters //////////// Scalar T = 273.15 + 20; // 20 deg Celsius FluidSystem::init(/*minTemperature=*/T - 1, /*maxTemperature=*/T + 1, /*minPressure=*/1.0e4, /*maxTemperature=*/40.0e6); // set the parameters for the capillary pressure law MaterialLawParams matParams; for (unsigned phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) { matParams.setPcMinSat(phaseIdx, 0.0); matParams.setPcMaxSat(phaseIdx, 0.0); } matParams.finalize(); //////////// // Create a fluid state //////////// FluidState gasFluidState; createSurfaceGasFluidSystem(gasFluidState); FluidState fluidState; ParameterCache paramCache; // temperature fluidState.setTemperature(T); // oil pressure fluidState.setPressure(oilPhaseIdx, 4000 * 6894.7573); // 4000 PSI // oil saturation fluidState.setSaturation(oilPhaseIdx, 1.0); fluidState.setSaturation(gasPhaseIdx, 1.0 - fluidState.saturation(oilPhaseIdx)); // oil composition: SPE-5 reservoir oil fluidState.setMoleFraction(oilPhaseIdx, H2OIdx, 0.0); fluidState.setMoleFraction(oilPhaseIdx, C1Idx, 0.50); fluidState.setMoleFraction(oilPhaseIdx, C3Idx, 0.03); fluidState.setMoleFraction(oilPhaseIdx, C6Idx, 0.07); fluidState.setMoleFraction(oilPhaseIdx, C10Idx, 0.20); fluidState.setMoleFraction(oilPhaseIdx, C15Idx, 0.15); fluidState.setMoleFraction(oilPhaseIdx, C20Idx, 0.05); //makeOilSaturated(fluidState, gasFluidState); // set the saturations and pressures of the other phases for (unsigned phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) { if (phaseIdx != oilPhaseIdx) { fluidState.setSaturation(phaseIdx, 0.0); fluidState.setPressure(phaseIdx, fluidState.pressure(oilPhaseIdx)); } // initial guess for the composition (needed by the ComputeFromReferencePhase // constraint solver. TODO: bug in ComputeFromReferencePhase?) guessInitial(fluidState, phaseIdx); } typedef Opm::ComputeFromReferencePhase CFRP; CFRP::solve(fluidState, paramCache, /*refPhaseIdx=*/oilPhaseIdx, /*setViscosity=*/false, /*setEnthalpy=*/false); //////////// // Calculate the total molarities of the components //////////// ComponentVector totalMolarities; for (unsigned compIdx = 0; compIdx < numComponents; ++ compIdx) totalMolarities[compIdx] = fluidState.saturation(oilPhaseIdx)*fluidState.molarity(oilPhaseIdx, compIdx); //////////// // Gradually increase the volume for and calculate the gas // formation factor, oil formation volume factor and gas formation // volume factor. //////////// FluidState flashFluidState, surfaceFluidState; flashFluidState.assign(fluidState); //Flash::guessInitial(flashFluidState, totalMolarities); Flash::template solve(flashFluidState, matParams, paramCache, totalMolarities); Scalar surfaceAlpha = 1; surfaceAlpha = bringOilToSurface(surfaceFluidState, surfaceAlpha, flashFluidState, /*guessInitial=*/true); Scalar rho_gRef = surfaceFluidState.density(gasPhaseIdx); Scalar rho_oRef = surfaceFluidState.density(oilPhaseIdx); std::vector > resultTable; Scalar minAlpha = 0.98; Scalar maxAlpha = surfaceAlpha; std::cout << "alpha[-] p[Pa] S_g[-] rho_o[kg/m^3] rho_g[kg/m^3] [kg/mol] [kg/mol] R_s[m^3/m^3] B_g[-] B_o[-]\n"; int n = 300; for (int i = 0; i < n; ++i) { // ratio between the original and the current volume Scalar alpha = minAlpha + (maxAlpha - minAlpha)*i/(n - 1); // increasing the volume means decreasing the molartity ComponentVector curTotalMolarities = totalMolarities; curTotalMolarities /= alpha; // "flash" the modified reservoir oil Flash::template solve(flashFluidState, matParams, paramCache, curTotalMolarities); surfaceAlpha = bringOilToSurface(surfaceFluidState, surfaceAlpha, flashFluidState, /*guessInitial=*/false); Scalar Rs = surfaceFluidState.saturation(gasPhaseIdx) / surfaceFluidState.saturation(oilPhaseIdx); std::cout << alpha << " " << flashFluidState.pressure(oilPhaseIdx) << " " << flashFluidState.saturation(gasPhaseIdx) << " " << flashFluidState.density(oilPhaseIdx) << " " << flashFluidState.density(gasPhaseIdx) << " " << flashFluidState.averageMolarMass(oilPhaseIdx) << " " << flashFluidState.averageMolarMass(gasPhaseIdx) << " " << Rs << " " << rho_gRef/flashFluidState.density(gasPhaseIdx) << " " << rho_oRef/flashFluidState.density(oilPhaseIdx) << " " << "\n"; std::array tmp; tmp[0] = alpha; tmp[1] = flashFluidState.pressure(oilPhaseIdx); tmp[2] = flashFluidState.saturation(gasPhaseIdx); tmp[3] = flashFluidState.density(oilPhaseIdx); tmp[4] = flashFluidState.density(gasPhaseIdx); tmp[5] = flashFluidState.averageMolarMass(oilPhaseIdx); tmp[6] = flashFluidState.averageMolarMass(gasPhaseIdx); tmp[7] = Rs; tmp[8] = rho_gRef/flashFluidState.density(gasPhaseIdx); tmp[9] = rho_oRef/flashFluidState.density(oilPhaseIdx); resultTable.push_back(tmp); } std::cout << "reference density oil [kg/m^3]: " << rho_oRef << "\n"; std::cout << "reference density gas [kg/m^3]: " << rho_gRef << "\n"; Scalar hiresThresholdPressure = resultTable[20][1]; printResult(resultTable, "Bg", /*firstIdx=*/1, /*secondIdx=*/8, /*hiresThreshold=*/hiresThresholdPressure); printResult(resultTable, "Bo", /*firstIdx=*/1, /*secondIdx=*/9, /*hiresThreshold=*/hiresThresholdPressure); printResult(resultTable, "Rs", /*firstIdx=*/1, /*secondIdx=*/7, /*hiresThreshold=*/hiresThresholdPressure); } void testChiFlash() { using Scalar = double; typedef Opm::Spe5FluidSystem FluidSystem; enum { numPhases = FluidSystem::numPhases, waterPhaseIdx = FluidSystem::waterPhaseIdx, gasPhaseIdx = FluidSystem::gasPhaseIdx, oilPhaseIdx = FluidSystem::oilPhaseIdx, numComponents = FluidSystem::numComponents, H2OIdx = FluidSystem::H2OIdx, C1Idx = FluidSystem::C1Idx, C3Idx = FluidSystem::C3Idx, C6Idx = FluidSystem::C6Idx, C10Idx = FluidSystem::C10Idx, C15Idx = FluidSystem::C15Idx, C20Idx = FluidSystem::C20Idx }; //typedef Opm::NcpFlash Flash; typedef Dune::FieldVector ComponentVector; typedef Opm::CompositionalFluidState FluidState; typedef Opm::ThreePhaseMaterialTraits MaterialTraits; typedef Opm::LinearMaterial MaterialLaw; typedef typename MaterialLaw::Params MaterialLawParams; typedef typename FluidSystem::template ParameterCache ParameterCache; //////////// // Initialize the fluid system and create the capillary pressure // parameters //////////// Scalar T = 273.15 + 20; // 20 deg Celsius FluidSystem::init(/*minTemperature=*/T - 1, /*maxTemperature=*/T + 1, /*minPressure=*/1.0e4, /*maxTemperature=*/40.0e6); // set the parameters for the capillary pressure law MaterialLawParams matParams; for (unsigned phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) { matParams.setPcMinSat(phaseIdx, 0.0); matParams.setPcMaxSat(phaseIdx, 0.0); } matParams.finalize(); //////////// // Create a fluid state //////////// FluidState gasFluidState; createSurfaceGasFluidSystem(gasFluidState); FluidState fluidState; ParameterCache paramCache; // temperature fluidState.setTemperature(T); // oil pressure fluidState.setPressure(oilPhaseIdx, 4000 * 6894.7573); // 4000 PSI // oil saturation fluidState.setSaturation(oilPhaseIdx, 1.0); fluidState.setSaturation(gasPhaseIdx, 1.0 - fluidState.saturation(oilPhaseIdx)); // oil composition: SPE-5 reservoir oil fluidState.setMoleFraction(oilPhaseIdx, H2OIdx, 0.0); fluidState.setMoleFraction(oilPhaseIdx, C1Idx, 0.50); fluidState.setMoleFraction(oilPhaseIdx, C3Idx, 0.03); fluidState.setMoleFraction(oilPhaseIdx, C6Idx, 0.07); fluidState.setMoleFraction(oilPhaseIdx, C10Idx, 0.20); fluidState.setMoleFraction(oilPhaseIdx, C15Idx, 0.15); fluidState.setMoleFraction(oilPhaseIdx, C20Idx, 0.05); //makeOilSaturated(fluidState, gasFluidState); // set the saturations and pressures of the other phases for (unsigned phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) { if (phaseIdx != oilPhaseIdx) { fluidState.setSaturation(phaseIdx, 0.0); fluidState.setPressure(phaseIdx, fluidState.pressure(oilPhaseIdx)); } // initial guess for the composition (needed by the ComputeFromReferencePhase // constraint solver. TODO: bug in ComputeFromReferencePhase?) guessInitial(fluidState, phaseIdx); } typedef Opm::ComputeFromReferencePhase CFRP; CFRP::solve(fluidState, paramCache, /*refPhaseIdx=*/oilPhaseIdx, /*setViscosity=*/false, /*setEnthalpy=*/false); //////////// // Calculate the total molarities of the components //////////// ComponentVector totalMolarities; for (unsigned compIdx = 0; compIdx < numComponents; ++ compIdx) totalMolarities[compIdx] = fluidState.saturation(oilPhaseIdx)*fluidState.molarity(oilPhaseIdx, compIdx); //////////// // Gradually increase the volume for and calculate the gas // formation factor, oil formation volume factor and gas formation // volume factor. //////////// FluidState flashFluidState, surfaceFluidState; flashFluidState.assign(fluidState); //Flash::guessInitial(flashFluidState, totalMolarities); using E = Opm::DenseAd::Evaluation; using Flash = Opm::ChiFlash; Flash::solve(flashFluidState, {0.9, 0.1}, 123456, 5, "SSI", 1e-8); } int main(int argc, char **argv) { Dune::MPIHelper::instance(argc, argv); testAll(); // the Peng-Robinson test currently does not work with single-precision floating // point scalars because of precision issues. (these are caused by the fact that the // test uses finite differences to calculate derivatives.) #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wunreachable-code" while (0) testAll(); #pragma GCC diagnostic pop testChiFlash(); return 0; }