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https://github.com/OPM/opm-simulators.git
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cd564ade5f
Compute relperms for each well completion based on saturation table ids (satnums) Does not work in combination with hysteresis.
1201 lines
118 KiB
C++
1201 lines
118 KiB
C++
/*
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Copyright 2015 SINTEF ICT, Applied Mathematics.
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This file is part of the Open Porous Media project (OPM).
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OPM is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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OPM is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with OPM. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include <config.h>
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#if HAVE_DYNAMIC_BOOST_TEST
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#define BOOST_TEST_DYN_LINK
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#endif
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#define BOOST_TEST_MODULE AutoDiffBlockTest
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#include <algorithm>
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#include <memory>
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#include <map>
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#include <sstream>
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#include <limits>
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#include <vector>
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#include <opm/common/utility/platform_dependent/disable_warnings.h>
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#include <boost/test/unit_test.hpp>
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#include <boost/filesystem.hpp>
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#include <opm/common/utility/platform_dependent/reenable_warnings.h>
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#include <opm/core/wells.h>
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#include <opm/parser/eclipse/Parser/ParseContext.hpp>
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#include <opm/parser/eclipse/Parser/Parser.hpp>
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#include <opm/parser/eclipse/EclipseState/checkDeck.hpp>
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#include <opm/parser/eclipse/EclipseState/EclipseState.hpp>
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#include <opm/parser/eclipse/EclipseState/Tables/VFPProdTable.hpp>
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#include <opm/parser/eclipse/Units/UnitSystem.hpp>
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#include <opm/autodiff/VFPProperties.hpp>
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#include <opm/autodiff/VFPProdProperties.hpp>
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#include <opm/autodiff/VFPHelpers.hpp>
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const double max_d_tol = 1.0e-10;
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const double sad_tol = 1.0e-8;
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BOOST_AUTO_TEST_SUITE( HelperTests )
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BOOST_AUTO_TEST_CASE(findInterpData)
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{
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std::vector<double> values = {1, 5, 7, 9, 11, 15};
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double exact = 9.0;
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double interpolate = 6.0;
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double extrapolate_left = -1.0;
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double extrapolate_right = 19;
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double first = 1;
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double last = 15;
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Opm::detail::InterpData eval0 = Opm::detail::findInterpData(exact, values);
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Opm::detail::InterpData eval1 = Opm::detail::findInterpData(interpolate, values);
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Opm::detail::InterpData eval2 = Opm::detail::findInterpData(extrapolate_left, values);
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Opm::detail::InterpData eval3 = Opm::detail::findInterpData(extrapolate_right, values);
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Opm::detail::InterpData eval4 = Opm::detail::findInterpData(first, values);
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Opm::detail::InterpData eval5 = Opm::detail::findInterpData(last, values);
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BOOST_CHECK_EQUAL(eval0.ind_[0], 2);
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BOOST_CHECK_EQUAL(eval0.ind_[1], 3);
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BOOST_CHECK_EQUAL(eval0.factor_, 1.0);
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BOOST_CHECK_EQUAL(eval1.ind_[0], 1);
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BOOST_CHECK_EQUAL(eval1.ind_[1], 2);
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BOOST_CHECK_EQUAL(eval1.factor_, 0.5);
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BOOST_CHECK_EQUAL(eval2.ind_[0], 0);
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BOOST_CHECK_EQUAL(eval2.ind_[1], 1);
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BOOST_CHECK_EQUAL(eval2.factor_, -0.5);
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BOOST_CHECK_EQUAL(eval3.ind_[0], 4);
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BOOST_CHECK_EQUAL(eval3.ind_[1], 5);
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BOOST_CHECK_EQUAL(eval3.factor_, 2.0);
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BOOST_CHECK_EQUAL(eval4.ind_[0], 0);
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BOOST_CHECK_EQUAL(eval4.ind_[1], 1);
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BOOST_CHECK_EQUAL(eval4.factor_, 0.0);
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BOOST_CHECK_EQUAL(eval5.ind_[0], 4);
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BOOST_CHECK_EQUAL(eval5.ind_[1], 5);
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BOOST_CHECK_EQUAL(eval5.factor_, 1.0);
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}
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BOOST_AUTO_TEST_SUITE_END() // HelperTests
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struct ConversionFixture {
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typedef Opm::VFPProdProperties::ADB ADB;
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ConversionFixture() :
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num_wells(5),
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aqua(ADB::null()),
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liquid(ADB::null()),
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vapour(ADB::null())
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{
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ADB::V aqua_v(num_wells);
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ADB::V liquid_v(num_wells);
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ADB::V vapour_v(num_wells);
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for (int i=0; i<num_wells; ++i) {
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aqua_v[i] = 300+num_wells*15;
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liquid_v[i] = 500+num_wells*15;
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vapour_v[i] = 700+num_wells*15;
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}
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aqua = ADB::constant(aqua_v);
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liquid = ADB::constant(liquid_v);
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vapour = ADB::constant(vapour_v);
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}
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~ConversionFixture() {
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}
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int num_wells;
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ADB aqua;
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ADB liquid;
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ADB vapour;
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};
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BOOST_FIXTURE_TEST_SUITE( ConversionTests, ConversionFixture )
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BOOST_AUTO_TEST_CASE(getFlo)
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{
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//Compute reference solutions
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std::vector<double> ref_flo_oil(num_wells);
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std::vector<double> ref_flo_liq(num_wells);
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std::vector<double> ref_flo_gas(num_wells);
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for (int i=0; i<num_wells; ++i) {
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ref_flo_oil[i] = liquid.value()[i];
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ref_flo_liq[i] = aqua.value()[i] + liquid.value()[i];
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ref_flo_gas[i] = vapour.value()[i];
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}
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{
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ADB flo = Opm::detail::getFlo(aqua, liquid, vapour, Opm::VFPProdTable::FLO_OIL);
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const double* computed = &flo.value()[0];
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BOOST_CHECK_EQUAL_COLLECTIONS(ref_flo_oil.begin(), ref_flo_oil.end(), computed, computed+num_wells);
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}
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{
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ADB flo = Opm::detail::getFlo(aqua, liquid, vapour, Opm::VFPProdTable::FLO_LIQ);
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const double* computed = &flo.value()[0];
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BOOST_CHECK_EQUAL_COLLECTIONS(ref_flo_liq.begin(), ref_flo_liq.end(), computed, computed+num_wells);
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}
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{
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ADB flo = Opm::detail::getFlo(aqua, liquid, vapour, Opm::VFPProdTable::FLO_GAS);
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const double* computed = &flo.value()[0];
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BOOST_CHECK_EQUAL_COLLECTIONS(ref_flo_gas.begin(), ref_flo_gas.end(), computed, computed+num_wells);
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}
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}
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BOOST_AUTO_TEST_CASE(getWFR)
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{
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//Compute reference solutions
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std::vector<double> ref_wfr_wor(num_wells);
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std::vector<double> ref_wfr_wct(num_wells);
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std::vector<double> ref_wfr_wgr(num_wells);
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for (int i=0; i<num_wells; ++i) {
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ref_wfr_wor[i] = aqua.value()[i] / liquid.value()[i];
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ref_wfr_wct[i] = aqua.value()[i] / (aqua.value()[i] + liquid.value()[i]);
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ref_wfr_wgr[i] = aqua.value()[i] / vapour.value()[i];
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}
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{
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ADB flo = Opm::detail::getWFR(aqua, liquid, vapour, Opm::VFPProdTable::WFR_WOR);
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const double* computed = &flo.value()[0];
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BOOST_CHECK_EQUAL_COLLECTIONS(ref_wfr_wor.begin(), ref_wfr_wor.end(), computed, computed+num_wells);
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}
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{
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ADB flo = Opm::detail::getWFR(aqua, liquid, vapour, Opm::VFPProdTable::WFR_WCT);
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const double* computed = &flo.value()[0];
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BOOST_CHECK_EQUAL_COLLECTIONS(ref_wfr_wct.begin(), ref_wfr_wct.end(), computed, computed+num_wells);
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}
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{
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ADB flo = Opm::detail::getWFR(aqua, liquid, vapour, Opm::VFPProdTable::WFR_WGR);
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const double* computed = &flo.value()[0];
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BOOST_CHECK_EQUAL_COLLECTIONS(ref_wfr_wgr.begin(), ref_wfr_wgr.end(), computed, computed+num_wells);
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}
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}
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BOOST_AUTO_TEST_CASE(getGFR)
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{
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//Compute reference solutions
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std::vector<double> ref_gfr_gor(num_wells);
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std::vector<double> ref_gfr_glr(num_wells);
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std::vector<double> ref_gfr_ogr(num_wells);
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for (int i=0; i<num_wells; ++i) {
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ref_gfr_gor[i] = vapour.value()[i] / liquid.value()[i];
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ref_gfr_glr[i] = vapour.value()[i] / (liquid.value()[i] + aqua.value()[i]);
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ref_gfr_ogr[i] = liquid.value()[i] / vapour.value()[i];
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}
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{
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ADB flo = Opm::detail::getGFR(aqua, liquid, vapour, Opm::VFPProdTable::GFR_GOR);
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const double* computed = &flo.value()[0];
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BOOST_CHECK_EQUAL_COLLECTIONS(ref_gfr_gor.begin(), ref_gfr_gor.end(), computed, computed+num_wells);
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}
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{
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ADB flo = Opm::detail::getGFR(aqua, liquid, vapour, Opm::VFPProdTable::GFR_GLR);
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const double* computed = &flo.value()[0];
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BOOST_CHECK_EQUAL_COLLECTIONS(ref_gfr_glr.begin(), ref_gfr_glr.end(), computed, computed+num_wells);
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}
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{
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ADB flo = Opm::detail::getGFR(aqua, liquid, vapour, Opm::VFPProdTable::GFR_OGR);
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const double* computed = &flo.value()[0];
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BOOST_CHECK_EQUAL_COLLECTIONS(ref_gfr_ogr.begin(), ref_gfr_ogr.end(), computed, computed+num_wells);
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}
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}
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BOOST_AUTO_TEST_SUITE_END() // unit tests
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/**
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* Test fixture to set up axis etc.
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* All of our axes go from 0 to 1, but with a varying number of
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* values data is given at
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*/
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struct TrivialFixture {
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typedef Opm::VFPProdProperties::ADB ADB;
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typedef Opm::detail::VFPEvaluation VFPEvaluation;
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TrivialFixture() : table_ids(1, 1),
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thp_axis{0.0, 1.0},
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wfr_axis{0.0, 0.5, 1.0},
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gfr_axis{0.0, 0.25, 0.5, 0.75, 1},
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alq_axis{0.0, 0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875, 1},
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flo_axis{0.0, 0.0625, 0.125, 0.1875, 0.25, 0.3125, 0.375, 0.4375,
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0.5, 0.5625, 0.625, 0.6875, 0.75, 0.8125, 0.875, 0.9375, 1},
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nx(thp_axis.size()),
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ny(wfr_axis.size()),
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nz(gfr_axis.size()),
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nu(alq_axis.size()),
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nv(flo_axis.size()),
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size{{ nx, ny, nz, nu, nv }},
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data(size)
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{
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}
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~TrivialFixture() {
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}
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/**
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* Fills our interpolation data with zeros
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*/
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inline void fillData(double value) {
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for (int i=0; i<nx; ++i) {
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for (int j=0; j<ny; ++j) {
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for (int k=0; k<nz; ++k) {
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for (int l=0; l<nu; ++l) {
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for (int m=0; m<nv; ++m) {
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data[i][j][k][l][m] = value;
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}
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}
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}
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}
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}
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}
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/**
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* Fills our interpolation data with an ND plane
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*/
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inline void fillDataPlane() {
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for (int i=0; i<nx; ++i) {
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double x = i / static_cast<double>(nx-1);
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for (int j=0; j<ny; ++j) {
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double y = j / static_cast<double>(ny-1);
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for (int k=0; k<nz; ++k) {
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double z = k / static_cast<double>(nz-1);
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for (int l=0; l<nu; ++l) {
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double u = l / static_cast<double>(nu-1);
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for (int m=0; m<nv; ++m) {
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double v = m / static_cast<double>(nv-1);
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// table[thp_idx][wfr_idx][gfr_idx][alq_idx][flo_idx];
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data[i][j][k][l][m] = x + 2*y + 3*z + 4*u + 5*v;
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}
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}
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}
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}
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}
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}
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/**
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* Fills our interpolation data with "random" values
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*/
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inline void fillDataRandom() {
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unsigned long randx = 42;
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static double max_val = static_cast<double>(std::numeric_limits<unsigned long>::max());
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for (int i=0; i<nx; ++i) {
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for (int j=0; j<ny; ++j) {
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for (int k=0; k<nz; ++k) {
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for (int l=0; l<nu; ++l) {
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for (int m=0; m<nv; ++m) {
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data[i][j][k][l][m] = randx / max_val;
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randx = (randx*1103515245 + 12345);
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}
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}
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}
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}
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}
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}
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inline void initTable() {
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}
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inline void initProperties() {
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//Initialize table
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table.init(table_ids[0],
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1000.0,
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Opm::VFPProdTable::FLO_OIL,
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Opm::VFPProdTable::WFR_WOR,
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Opm::VFPProdTable::GFR_GOR,
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Opm::VFPProdTable::ALQ_UNDEF,
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flo_axis,
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thp_axis,
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wfr_axis,
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gfr_axis,
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alq_axis,
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data);
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//Initialize properties that use the table
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properties.reset(new Opm::VFPProdProperties(&table));
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}
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/**
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* Helper function to simplify creating minimal ADB objects
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*/
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inline ADB createConstantScalarADB(double value) {
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ADB::V v = ADB::V::Constant(1, value);
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ADB adb = ADB::constant(std::move(v));
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return adb;
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}
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std::shared_ptr<Opm::VFPProdProperties> properties;
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Opm::VFPProdTable table;
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std::vector<int> table_ids;
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private:
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const std::vector<double> thp_axis;
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const std::vector<double> wfr_axis;
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const std::vector<double> gfr_axis;
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const std::vector<double> alq_axis;
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const std::vector<double> flo_axis;
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int nx;
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int ny;
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int nz;
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int nu;
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int nv;
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Opm::VFPProdTable::extents size;
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Opm::VFPProdTable::array_type data;
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};
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//Set F to be our test suite fixture for our "trivial" tests
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BOOST_FIXTURE_TEST_SUITE( TrivialTests, TrivialFixture )
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BOOST_AUTO_TEST_CASE(GetTable)
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{
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fillDataRandom();
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initProperties();
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//Create wells
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const int nphases = 3;
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const int nwells = 1;
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const int nperfs = 1;
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std::shared_ptr<Wells> wells(create_wells(nphases, nwells, nperfs),
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destroy_wells);
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const int cells[] = {5};
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add_well(INJECTOR, 100, 1, NULL, cells, NULL, 0, NULL, true, wells.get());
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//Create interpolation points
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double aqua_d = -0.15;
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double liquid_d = -0.25;
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double vapour_d = -0.35;
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double thp_d = 0.45;
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double alq_d = 0.55;
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ADB aqua_adb = createConstantScalarADB(aqua_d);
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ADB liquid_adb = createConstantScalarADB(liquid_d);
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ADB vapour_adb = createConstantScalarADB(vapour_d);
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ADB thp_adb = createConstantScalarADB(thp_d);
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ADB alq_adb = createConstantScalarADB(alq_d);
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ADB::V qs_adb_v(3);
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qs_adb_v << aqua_adb.value(), liquid_adb.value(), vapour_adb.value();
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ADB qs_adb = ADB::constant(qs_adb_v);
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//Check that our reference has not changed
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Opm::detail::VFPEvaluation ref = Opm::detail::bhp(&table, aqua_d, liquid_d, vapour_d, thp_d, alq_d);
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BOOST_CHECK_CLOSE(ref.value, 1.0923565702101556, max_d_tol);
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BOOST_CHECK_CLOSE(ref.dthp, 0.13174065498177251, max_d_tol);
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BOOST_CHECK_CLOSE(ref.dwfr, -1.2298177745501071, max_d_tol);
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BOOST_CHECK_CLOSE(ref.dgfr, 0.82988935779290274, max_d_tol);
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BOOST_CHECK_CLOSE(ref.dalq, 1.8148520254931713, max_d_tol);
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BOOST_CHECK_CLOSE(ref.dflo, 9.0944843574181924, max_d_tol);
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//Check that different versions of the prod_bph function work
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ADB a = properties->bhp(table_ids, aqua_adb, liquid_adb, vapour_adb, thp_adb, alq_adb);
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double b =properties->bhp(table_ids[0], aqua_d, liquid_d, vapour_d, thp_d, alq_d);
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ADB c = properties->bhp(table_ids, *wells, qs_adb, thp_adb, alq_adb);
|
|
|
|
//Check that results are actually equal reference
|
|
BOOST_CHECK_EQUAL(a.value()[0], ref.value);
|
|
BOOST_CHECK_EQUAL(b, ref.value);
|
|
BOOST_CHECK_EQUAL(c.value()[0], ref.value);
|
|
|
|
//Table 2 does not exist.
|
|
std::vector<int> table_ids_wrong(1, 2);
|
|
BOOST_CHECK_THROW(properties->bhp(table_ids_wrong, *wells, qs_adb, thp_adb, alq_adb), std::invalid_argument);
|
|
}
|
|
|
|
/**
|
|
* Test that we can generate some dummy zero-data,
|
|
* interpolate using doubles as input, and compare against the analytic solution
|
|
*/
|
|
BOOST_AUTO_TEST_CASE(InterpolateZero)
|
|
{
|
|
fillData(0.0);
|
|
initProperties();
|
|
|
|
//Check interpolation
|
|
double sum = 0.0;
|
|
int n=5;
|
|
for (int i=1; i<n; ++i) {
|
|
const double x = i / static_cast<double>(n-1);
|
|
for (int j=1; j<n; ++j) {
|
|
const double y = j / static_cast<double>(n-1);
|
|
for (int k=1; k<n; ++k) {
|
|
const double z = k / static_cast<double>(n-1);
|
|
for (int l=0; l<n; ++l) {
|
|
const double u = l / static_cast<double>(n-1);
|
|
for (int m=0; m<n; ++m) {
|
|
const double v = m / static_cast<double>(n-1);
|
|
|
|
//Note order of arguments!
|
|
sum += properties->bhp(1, v, x, y, z, u);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
BOOST_CHECK_EQUAL(sum, 0.0);
|
|
}
|
|
|
|
|
|
/**
|
|
* Test that we can generate some dummy one-data,
|
|
* interpolate using doubles as input, and compare against the analytic solution
|
|
*/
|
|
BOOST_AUTO_TEST_CASE(InterpolateOne)
|
|
{
|
|
fillData(1.0);
|
|
initProperties();
|
|
|
|
//Check interpolation
|
|
double sum = 0.0;
|
|
int n=5;
|
|
for (int i=1; i<n; ++i) {
|
|
const double x = i / static_cast<double>(n-1);
|
|
for (int j=1; j<n; ++j) {
|
|
const double y = j / static_cast<double>(n-1);
|
|
for (int k=1; k<n; ++k) {
|
|
const double z = k / static_cast<double>(n-1);
|
|
for (int l=0; l<n; ++l) {
|
|
const double u = l / static_cast<double>(n-1);
|
|
for (int m=0; m<n; ++m) {
|
|
const double v = m / static_cast<double>(n-1);
|
|
|
|
//Note order of arguments!
|
|
const double value = properties->bhp(1, v, x, y, z, u);
|
|
|
|
sum += value;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
double reference = (n-1)*(n-1)*(n-1)*n*n;
|
|
BOOST_CHECK_EQUAL(sum, reference);
|
|
}
|
|
|
|
|
|
/**
|
|
* Test that we can generate some dummy data representing an ND plane,
|
|
* interpolate using doubles as input, and compare against the analytic solution
|
|
*/
|
|
BOOST_AUTO_TEST_CASE(InterpolatePlane)
|
|
{
|
|
const int n=5;
|
|
|
|
fillDataPlane();
|
|
initProperties();
|
|
|
|
//Temps used to store reference and actual variables
|
|
double sad = 0.0;
|
|
double max_d = 0.0;
|
|
|
|
//Check interpolation
|
|
for (int i=0; i<=n; ++i) {
|
|
const double thp = i / static_cast<double>(n);
|
|
for (int j=1; j<=n; ++j) {
|
|
const double aqua = -j / static_cast<double>(n);
|
|
for (int k=1; k<=n; ++k) {
|
|
const double vapour = -k / static_cast<double>(n);
|
|
for (int l=0; l<=n; ++l) {
|
|
const double alq = l / static_cast<double>(n);
|
|
for (int m=1; m<=n; ++m) {
|
|
const double liquid = -m / static_cast<double>(n);
|
|
|
|
//Find values that should be in table
|
|
double flo = Opm::detail::getFlo(aqua, liquid, vapour, table.getFloType());
|
|
double wfr = Opm::detail::getWFR(aqua, liquid, vapour, table.getWFRType());
|
|
double gfr = Opm::detail::getGFR(aqua, liquid, vapour, table.getGFRType());
|
|
|
|
//Calculate reference
|
|
double reference = thp + 2*wfr + 3*gfr+ 4*alq - 5*flo;
|
|
|
|
//Calculate actual
|
|
//Note order of arguments: id, aqua, liquid, vapour, thp, alq
|
|
double actual = properties->bhp(1, aqua, liquid, vapour, thp, alq);
|
|
|
|
|
|
double abs_diff = std::abs(actual - reference);
|
|
max_d = std::max(max_d, abs_diff);
|
|
sad = sad + abs_diff;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
BOOST_CHECK_SMALL(max_d, max_d_tol);
|
|
BOOST_CHECK_SMALL(sad, sad_tol);
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
* Test that we can generate some dummy data representing an ND plane,
|
|
* interpolate using doubles as input, and compare against the analytic solution
|
|
*/
|
|
BOOST_AUTO_TEST_CASE(ExtrapolatePlane)
|
|
{
|
|
fillDataPlane();
|
|
initProperties();
|
|
|
|
//Check linear extrapolation (i.e., using values of x, y, etc. outside our interpolant domain)
|
|
double sum = 0.0;
|
|
double reference_sum = 0.0;
|
|
double sad = 0.0; // Sum absolute difference
|
|
double max_d = 0.0; // Maximum difference
|
|
int n=1;
|
|
int o=5;
|
|
for (int i=0; i<=n+o; ++i) {
|
|
const double x = i / static_cast<double>(n);
|
|
for (int j=1; j<=n+o; ++j) {
|
|
const double aqua = -j / static_cast<double>(n);
|
|
for (int k=1; k<=n+o; ++k) {
|
|
const double vapour = -k / static_cast<double>(n);
|
|
for (int l=0; l<=n+o; ++l) {
|
|
const double u = l / static_cast<double>(n);
|
|
for (int m=1; m<=n+o; ++m) {
|
|
const double liquid = -m / static_cast<double>(n);
|
|
|
|
//Find values that should be in table
|
|
double v = Opm::detail::getFlo(aqua, liquid, vapour, table.getFloType());
|
|
double y = Opm::detail::getWFR(aqua, liquid, vapour, table.getWFRType());
|
|
double z = Opm::detail::getGFR(aqua, liquid, vapour, table.getGFRType());
|
|
|
|
double reference = x + 2*y + 3*z+ 4*u - 5*v;
|
|
reference_sum += reference;
|
|
|
|
//Note order of arguments! id, aqua, liquid, vapour, thp , alq
|
|
double value = properties->bhp(1, aqua, liquid, vapour, x, u);
|
|
sum += value;
|
|
|
|
double abs_diff = std::abs(value - reference);
|
|
|
|
sad += std::abs(abs_diff);
|
|
max_d = std::max(max_d, abs_diff);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
BOOST_CHECK_CLOSE(sum, reference_sum, 0.0001);
|
|
BOOST_CHECK_SMALL(max_d, max_d_tol);
|
|
BOOST_CHECK_SMALL(sad, sad_tol);
|
|
}
|
|
|
|
|
|
|
|
|
|
/**
|
|
* Test that we can generate some dummy data representing an ND plane,
|
|
* interpolate using ADBs as input, and compare against the analytic solution
|
|
*/
|
|
BOOST_AUTO_TEST_CASE(ExtrapolatePlaneADB)
|
|
{
|
|
fillDataPlane();
|
|
initProperties();
|
|
|
|
//Check linear extrapolation (i.e., using values of x, y, etc. outside our interpolant domain)
|
|
double sum = 0.0;
|
|
double reference_sum = 0.0;
|
|
double sad = 0.0; // Sum absolute difference
|
|
double max_d = 0.0; // Maximum difference
|
|
int n=1;
|
|
int o=5;
|
|
for (int i=0; i<=n+o; ++i) {
|
|
const double x = i / static_cast<double>(n);
|
|
for (int j=1; j<=n+o; ++j) {
|
|
const double aqua = -j / static_cast<double>(n);
|
|
for (int k=1; k<=n+o; ++k) {
|
|
const double vapour = -k / static_cast<double>(n);
|
|
for (int l=0; l<=n+o; ++l) {
|
|
const double u = l / static_cast<double>(n);
|
|
for (int m=1; m<=n+o; ++m) {
|
|
const double liquid = -m / static_cast<double>(n);
|
|
|
|
//Temporary variables used to represent independent wells
|
|
const int num_wells = 5;
|
|
ADB::V adb_v_x(num_wells);
|
|
ADB::V adb_v_aqua(num_wells);
|
|
ADB::V adb_v_vapour(num_wells);
|
|
ADB::V adb_v_u(num_wells);
|
|
ADB::V adb_v_liquid(num_wells);
|
|
table_ids.resize(num_wells);
|
|
|
|
for (unsigned int w=0; w<num_wells; ++w) {
|
|
table_ids[w] = 1;
|
|
adb_v_x[w] = x*(w+1);
|
|
adb_v_aqua[w] = aqua*(w+1);
|
|
adb_v_vapour[w] = vapour*(w+1);
|
|
adb_v_u[w] = u*(w+1);
|
|
adb_v_liquid[w] = liquid*(w+1);
|
|
}
|
|
|
|
ADB adb_x = ADB::constant(adb_v_x);
|
|
ADB adb_aqua = ADB::constant(adb_v_aqua);
|
|
ADB adb_vapour = ADB::constant(adb_v_vapour);
|
|
ADB adb_u = ADB::constant(adb_v_u);
|
|
ADB adb_liquid = ADB::constant(adb_v_liquid);
|
|
|
|
ADB bhp = properties->bhp(table_ids, adb_aqua, adb_liquid, adb_vapour, adb_x, adb_u);
|
|
ADB::V bhp_val = bhp.value();
|
|
|
|
double value = 0.0;
|
|
double reference = 0.0;
|
|
for (int w=0; w < num_wells; ++w) {
|
|
//Find values that should be in table
|
|
double v = Opm::detail::getFlo(aqua*(w+1), liquid*(w+1), vapour*(w+1), table.getFloType());
|
|
double y = Opm::detail::getWFR(aqua*(w+1), liquid*(w+1), vapour*(w+1), table.getWFRType());
|
|
double z = Opm::detail::getGFR(aqua*(w+1), liquid*(w+1), vapour*(w+1), table.getGFRType());
|
|
|
|
reference = x*(w+1) + 2*y + 3*z + 4*u*(w+1) - 5*v;
|
|
value = bhp_val[w];
|
|
|
|
sum += value;
|
|
reference_sum += reference;
|
|
|
|
double abs_diff = std::abs(value - reference);
|
|
|
|
sad += std::abs(abs_diff);
|
|
max_d = std::max(max_d, abs_diff);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
BOOST_CHECK_CLOSE(sum, reference_sum, 0.0001);
|
|
BOOST_CHECK_SMALL(max_d, max_d_tol);
|
|
BOOST_CHECK_SMALL(sad, sad_tol);
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
* Test that we can generate some dummy data representing an ND plane,
|
|
* interpolate using well flow rates and ADBs as input, and compare against the analytic solution
|
|
*/
|
|
BOOST_AUTO_TEST_CASE(InterpolateADBAndQs)
|
|
{
|
|
fillDataPlane();
|
|
initProperties();
|
|
|
|
//Create wells
|
|
const int nphases = 3;
|
|
const int nwells = 5;
|
|
const int nperfs = 1;
|
|
std::shared_ptr<Wells> wells(create_wells(nphases, nwells, nperfs),
|
|
destroy_wells);
|
|
int cells = 1;
|
|
for (int i=0; i<nwells; ++i) {
|
|
//Just give the cells a set of different indices
|
|
cells *= 2;
|
|
|
|
std::stringstream ss;
|
|
ss << "WELL_" << i;
|
|
const bool ok = add_well(INJECTOR, 0.0, 1, NULL, &cells,
|
|
NULL, 0, ss.str().c_str(), true, wells.get());
|
|
BOOST_REQUIRE(ok);
|
|
}
|
|
|
|
//Create some artificial flow values for our wells between 0 and 1
|
|
ADB::V qs_v(nphases*nwells);
|
|
for (int j=0; j<nphases; ++j) {
|
|
for (int i=0; i<nwells; ++i) {
|
|
qs_v[j*nwells+i] = -(j*nwells+i) / static_cast<double>(nwells*nphases-1.0);
|
|
}
|
|
}
|
|
ADB qs = ADB::constant(qs_v);
|
|
|
|
//Create the THP for each well
|
|
ADB::V thp_v(nwells);
|
|
for (int i=0; i<nwells; ++i) {
|
|
thp_v[i] = (i) / static_cast<double>(nwells-1.0);
|
|
}
|
|
ADB thp = ADB::constant(thp_v);
|
|
|
|
//Create the ALQ for each well
|
|
ADB::V alq_v(nwells);
|
|
for (int i=0; i<nwells; ++i) {
|
|
alq_v[i] = 0.0;
|
|
}
|
|
ADB alq = ADB::constant(alq_v);
|
|
|
|
//Set which VFP table to use for each well
|
|
table_ids.resize(nwells);
|
|
for (int i=0; i<nwells; ++i) {
|
|
table_ids[i] = 1;
|
|
}
|
|
|
|
//Call the bhp function
|
|
ADB::V bhp = properties->bhp(table_ids, *wells, qs, thp, alq).value();
|
|
|
|
//Calculate reference
|
|
//First, find the three phases
|
|
std::vector<double> water(nwells);
|
|
std::vector<double> oil(nwells);
|
|
std::vector<double> gas(nwells);
|
|
for (int i=0; i<nwells; ++i) {
|
|
water[i] = qs_v[i];
|
|
oil[i] = qs_v[nwells+i];
|
|
gas[i] = qs_v[2*nwells+i];
|
|
}
|
|
|
|
//Compute reference value
|
|
std::vector<double> reference(nwells);
|
|
for (int i=0; i<nwells; ++i) {
|
|
double flo = oil[i];
|
|
double wor = water[i]/oil[i];
|
|
double gor = gas[i]/oil[i];
|
|
reference[i] = thp_v[i] + 2*wor + 3*gor + 4*alq_v[i] - 5*flo;
|
|
}
|
|
|
|
//Check that interpolation matches
|
|
BOOST_REQUIRE_EQUAL(bhp.size(), nwells);
|
|
double sad = 0.0;
|
|
double max_d = 0.0;
|
|
for (int i=0; i<nwells; ++i) {
|
|
double value = bhp[i];
|
|
double ref = reference[i];
|
|
double abs_diff = std::abs(value-ref);
|
|
sad += abs_diff;
|
|
max_d = std::max(abs_diff, max_d);
|
|
}
|
|
|
|
BOOST_CHECK_SMALL(max_d, max_d_tol);
|
|
BOOST_CHECK_SMALL(sad, sad_tol);
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
* Test that the partial derivatives are reasonable
|
|
*/
|
|
BOOST_AUTO_TEST_CASE(PartialDerivatives)
|
|
{
|
|
const int n=5;
|
|
|
|
fillDataPlane();
|
|
initProperties();
|
|
|
|
//Temps used to store reference and actual variables
|
|
VFPEvaluation sad;
|
|
VFPEvaluation max_d;
|
|
|
|
//Check interpolation
|
|
for (int i=0; i<=n; ++i) {
|
|
const double thp = i / static_cast<double>(n);
|
|
for (int j=1; j<=n; ++j) {
|
|
const double aqua = -j / static_cast<double>(n);
|
|
for (int k=1; k<=n; ++k) {
|
|
const double vapour = -k / static_cast<double>(n);
|
|
for (int l=0; l<=n; ++l) {
|
|
const double alq = l / static_cast<double>(n);
|
|
for (int m=1; m<=n; ++m) {
|
|
const double liquid = -m / static_cast<double>(n);
|
|
|
|
//Find values that should be in table
|
|
double flo = Opm::detail::getFlo(aqua, liquid, vapour, table.getFloType());
|
|
double wfr = Opm::detail::getWFR(aqua, liquid, vapour, table.getWFRType());
|
|
double gfr = Opm::detail::getGFR(aqua, liquid, vapour, table.getGFRType());
|
|
|
|
//Calculate reference
|
|
VFPEvaluation reference;
|
|
reference.value = thp + 2*wfr + 3*gfr+ 4*alq - 5*flo;
|
|
reference.dthp = 1;
|
|
reference.dwfr = 2;
|
|
reference.dgfr = 3;
|
|
reference.dalq = 4;
|
|
reference.dflo = 5;
|
|
|
|
//Calculate actual
|
|
//Note order of arguments: id, aqua, liquid, vapour, thp, alq
|
|
VFPEvaluation actual = Opm::detail::bhp(&table, aqua, liquid, vapour, thp, alq);
|
|
|
|
VFPEvaluation abs_diff = actual - reference;
|
|
abs_diff.value = std::abs(abs_diff.value);
|
|
abs_diff.dthp = std::abs(abs_diff.dthp);
|
|
abs_diff.dwfr = std::abs(abs_diff.dwfr);
|
|
abs_diff.dgfr = std::abs(abs_diff.dgfr);
|
|
abs_diff.dalq = std::abs(abs_diff.dalq);
|
|
abs_diff.dflo = std::abs(abs_diff.dflo);
|
|
|
|
max_d.value = std::max(max_d.value, abs_diff.value);
|
|
max_d.dthp = std::max(max_d.dthp, abs_diff.dthp);
|
|
max_d.dwfr = std::max(max_d.dwfr, abs_diff.dwfr);
|
|
max_d.dgfr = std::max(max_d.dgfr, abs_diff.dgfr);
|
|
max_d.dalq = std::max(max_d.dalq, abs_diff.dalq);
|
|
max_d.dflo = std::max(max_d.dflo, abs_diff.dflo);
|
|
|
|
sad = sad + abs_diff;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
BOOST_CHECK_SMALL(max_d.value, max_d_tol);
|
|
BOOST_CHECK_SMALL(max_d.dthp, max_d_tol);
|
|
BOOST_CHECK_SMALL(max_d.dwfr, max_d_tol);
|
|
BOOST_CHECK_SMALL(max_d.dgfr, max_d_tol);
|
|
BOOST_CHECK_SMALL(max_d.dalq, max_d_tol);
|
|
BOOST_CHECK_SMALL(max_d.dflo, max_d_tol);
|
|
|
|
BOOST_CHECK_SMALL(sad.value, sad_tol);
|
|
BOOST_CHECK_SMALL(sad.dthp, sad_tol);
|
|
BOOST_CHECK_SMALL(sad.dwfr, sad_tol);
|
|
BOOST_CHECK_SMALL(sad.dgfr, sad_tol);
|
|
BOOST_CHECK_SMALL(sad.dalq, sad_tol);
|
|
BOOST_CHECK_SMALL(sad.dflo, sad_tol);
|
|
}
|
|
|
|
|
|
|
|
|
|
BOOST_AUTO_TEST_CASE(THPToBHPAndBackPlane)
|
|
{
|
|
fillDataPlane();
|
|
initProperties();
|
|
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double aqua = -0.5;
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double liquid = -0.9;
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double vapour = -0.1;
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double thp = 50.0;
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double alq = 32.9;
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double bhp_val = properties->bhp(1, aqua, liquid, vapour, thp, alq);
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double thp_val = properties->thp(1, aqua, liquid, vapour, bhp_val, alq);
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BOOST_CHECK_CLOSE(thp_val, thp, max_d_tol);
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}
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BOOST_AUTO_TEST_CASE(THPToBHPAndBackNonTrivial)
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{
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fillDataRandom();
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initProperties();
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double aqua = -0.5;
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double liquid = -0.9;
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double vapour = -0.1;
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double thp = 50.0;
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double alq = 32.9;
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double bhp_val = properties->bhp(1, aqua, liquid, vapour, thp, alq);
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double thp_val = properties->thp(1, aqua, liquid, vapour, bhp_val, alq);
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BOOST_CHECK_CLOSE(thp_val, thp, max_d_tol);
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}
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BOOST_AUTO_TEST_SUITE_END() // Trivial tests
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BOOST_AUTO_TEST_SUITE(IntegrationTests)
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extern const double reference[];
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/**
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* Uses a VFP table that should be linear in THP vs BHP,
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* so that
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* bhp(aqua, liquid, vapour, thp, alq) == 0.0 for thp == 0.0,
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* and
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* bhp(aqua, liquid, vapour, thp, alq) == 1.0 for thp == 1.0,
|
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*/
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BOOST_AUTO_TEST_CASE(ParseInterpolateLine)
|
|
{
|
|
std::string table_str = "\
|
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-- VFP table that is basically the identity: BHP == THP \n\
|
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-- In our case, we simply degenerate all axes except the THP axis \n\
|
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-- and set that bhp(flo, thp, wfr, gfr, alq) = 0 for thp = 0, and 1 for thp = 1. \n\
|
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-- The value of flo, wfr, gfr, alq, should all be irrelevant. \n\
|
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VFPPROD \n\
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-- table_num, datum_depth, flo, wfr, gfr, pressure, alq, unit, table_vals \n\
|
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42 7.0E+03 LIQ WCT GOR THP ' ' FIELD BHP / \n\
|
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1.0 / flo axis \n\
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0.0 1.0 / THP axis \n\
|
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0.0 / WFR axis \n\
|
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0.0 / GFR axis \n\
|
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0.0 / ALQ axis \n\
|
|
-- Table itself: thp_idx wfr_idx gfr_idx alq_idx <vals> \n\
|
|
1 1 1 1 0.0 / \n\
|
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2 1 1 1 1.0 / \n\
|
|
";
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auto units = Opm::UnitSystem::newFIELD();
|
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Opm::Parser parser;
|
|
Opm::ParseContext parse_mode;
|
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auto deck = parser.parseString(table_str, parse_mode);
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BOOST_REQUIRE(deck.hasKeyword("VFPPROD"));
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|
BOOST_CHECK_EQUAL(deck.count("VFPPROD"), 1);
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Opm::VFPProdTable table;
|
|
table.init(deck.getKeyword("VFPPROD", 0), units);
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Opm::VFPProdProperties properties(&table);
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|
|
const int n = 5; //Number of points to check per axis
|
|
double bhp_sad = 0.0; //Sum of absolute difference
|
|
double bhp_max_d = 0.0; //Maximum difference
|
|
double thp_sad = 0.0;
|
|
double thp_max_d = 0.0;
|
|
for (int w=0; w<n; ++w) { //water
|
|
for (int o=0; o<n; ++o) { //oil
|
|
for (int g=0; g<n; ++g) { //gas
|
|
for (int t=0; t<n; ++t) { //thp
|
|
for (int a=0; a<n; ++a) { //alq
|
|
double aqua = w * 52.3;
|
|
double liquid = o * 9.9;
|
|
double vapour = g * 0.1;
|
|
double thp = t * 456.78;
|
|
double alq = a * 42.24;
|
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|
|
double bhp_interp = properties.bhp(42, aqua, liquid, vapour, thp, alq);
|
|
double bhp_ref = thp;
|
|
double thp_interp = properties.thp(42, aqua, liquid, vapour, bhp_ref, alq);
|
|
double thp_ref = thp;
|
|
|
|
double bhp_diff = std::abs(bhp_interp - bhp_ref);
|
|
bhp_sad += bhp_diff;
|
|
bhp_max_d = std::max(bhp_diff, bhp_max_d);
|
|
|
|
double thp_diff = std::abs(thp_interp - thp_ref);
|
|
thp_sad += thp_diff;
|
|
thp_max_d = std::max(thp_diff, thp_max_d);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
BOOST_CHECK_SMALL(bhp_max_d, max_d_tol);
|
|
BOOST_CHECK_SMALL(bhp_sad, sad_tol);
|
|
|
|
BOOST_CHECK_SMALL(thp_max_d, max_d_tol);
|
|
BOOST_CHECK_SMALL(thp_sad, sad_tol);
|
|
}
|
|
|
|
/**
|
|
* Tests that we can actually parse some input data, and interpolate within that space
|
|
*/
|
|
BOOST_AUTO_TEST_CASE(ParseInterpolateRealisticVFPPROD)
|
|
{
|
|
auto units = Opm::UnitSystem::newMETRIC();
|
|
|
|
Opm::Parser parser;
|
|
Opm::ParseContext parse_mode;
|
|
boost::filesystem::path file("VFPPROD2");
|
|
|
|
auto deck = parser.parseFile(file.string(), parse_mode);
|
|
Opm::checkDeck(deck, parser);
|
|
|
|
BOOST_REQUIRE(deck.hasKeyword("VFPPROD"));
|
|
BOOST_CHECK_EQUAL(deck.count("VFPPROD"), 1);
|
|
|
|
Opm::VFPProdTable table;
|
|
table.init(deck.getKeyword("VFPPROD", 0), units);
|
|
|
|
Opm::VFPProdProperties properties(&table);
|
|
|
|
//Do some rudimentary testing
|
|
//Get the BHP as a function of rate, thp, wfr, gfr, alq
|
|
double liq[] = {100, 2942.8571428571427, 5785.7142857142853, 8628.5714285714294, 11471.428571428571, 14314.285714285714, 17157.142857142859, 20000};
|
|
double gor[] = {90, 1505.7142857142858, 2921.4285714285716, 4337.1428571428569, 5752.8571428571431, 7168.5714285714284, 8584.2857142857138, 10000};
|
|
double wct[] = {0, 0.14285714285714285, 0.2857142857142857, 0.42857142857142855, 0.5714285714285714, 0.7142857142857143, 0.8571428571428571, 1};
|
|
double thp[] = {16.010000000000002, 22.438571428571429, 28.867142857142859, 35.295714285714283, 41.724285714285713, 48.152857142857144, 54.581428571428575, 61.009999999999998};
|
|
int n = sizeof(liq) / sizeof(liq[0]);
|
|
|
|
int i = 0;
|
|
double sad = 0.0; //Sum of absolute difference
|
|
double max_d = 0.0; //Maximum difference
|
|
for (int t=0; t<n; ++t) {
|
|
for (int w=0; w<n; ++w) {
|
|
for (int g=0; g<n; ++g) {
|
|
//for (unsigned int a=0; a<n; ++a) { //n==1, skip this loop
|
|
for (int f=0; f<n; ++f) {
|
|
//Liq given as SM3/day => convert to SM3/second
|
|
double f_i = -liq[f]*1.1574074074074073e-05;
|
|
|
|
//THP given as BARSA => convert to Pascal
|
|
double t_i = thp[t]*100000.0;
|
|
|
|
//WCT given as fraction, SM3/SM3
|
|
double w_i = wct[w];
|
|
|
|
//GOR given as SM3 / SM3
|
|
double g_i = gor[g];
|
|
|
|
//ALQ unit not relevant in this case
|
|
double a_i = 0.0;
|
|
|
|
//Now reconstruct possible aqua, liquid,
|
|
//and vapour phase compositions that satisfy the above
|
|
|
|
//liq[f] = aqua + liquid
|
|
//wct[w] = aqua / (aqua + liquid)
|
|
//gor[g] = vapour / liquid
|
|
//
|
|
// aqua = wct[w] * liq[f]
|
|
// liquid = liq[f] - aqua
|
|
// vapour = gor[g] * liquid
|
|
|
|
double aqua = w_i * f_i;
|
|
double liquid = f_i - aqua;
|
|
double vapour = g_i * liquid;
|
|
|
|
if ((aqua + liquid) == 0.0 || liquid == 0.0) {
|
|
//FIXME: This skips some corner cases, when
|
|
//getWFR(...) and getGFR(...) are infinite
|
|
}
|
|
else {
|
|
//Value given as pascal, convert to barsa for comparison with reference
|
|
double value_i = properties.bhp(32, aqua, liquid, vapour, t_i, a_i) * 10.0e-6;
|
|
|
|
double abs_diff = std::abs(value_i - reference[i]);
|
|
sad += abs_diff;
|
|
max_d = std::max(max_d, abs_diff);
|
|
}
|
|
++i;
|
|
}
|
|
//}
|
|
}
|
|
}
|
|
}
|
|
|
|
BOOST_CHECK_SMALL(max_d, max_d_tol);
|
|
BOOST_CHECK_SMALL(sad, sad_tol);
|
|
}
|
|
|
|
/**
|
|
* Reference computed using MATLAB with the input above.
|
|
*/
|
|
const double reference[] = {
|
|
44.850000000000001, 30.36904761904762, 40.238928571428566, 53.221714285714292, 67.885571428571438, 83.100857142857151, 99.021000000000015, 115.14, 27.986149999999999, 76.394680612244898, 146.58456352040815, 227.73038755102044, 323.29702921768705, 433.02474183673473, 519.09348404081641, 596.70497857142868, 25.483874999999998, 135.96136479591837, 276.35715114795914, 452.68607295918366, 676.76830807823114, 945.81213010204078, 1108.470853367347, 1234.3462321428572, 22.9816, 195.52804897959183, 406.12973877551008, 677.64175836734682, 1030.2395869387753, 1458.5995183673467, 1697.8482226938775, 1871.9874857142856, 21.93648, 260.13428359183678, 566.16254540816328, 972.26681151020421, 1344.8295676190476, 1774.9372779591836, 2013.0210626204084, 2185.0791771428571, 22.174319999999998, 329.1776176326531, 752.83812551020401, 1328.232636244898, 1625.1862990476188, 1918.3098995918363, 2086.7690417469385, 2212.4194514285709, 22.412159999999997, 398.22095167346936, 939.51370561224473, 1684.198460979592, 1905.5430304761903, 2061.6825212244894, 2160.5170208734694, 2239.7597257142857, 22.649999999999999, 467.26428571428573, 1126.1892857142857, 2040.1642857142861, 2185.8997619047618, 2205.0551428571425, 2234.2649999999999, 2267.0999999999999, 45.935714285714283, 31.165795918367351, 39.937755102040811, 52.72722448979593, 66.603455782312921, 81.156040816326524, 96.557926530612264, 112.18714285714286, 29.541501020408166, 68.10885813411079, 127.61792838921284, 195.14191513119539, 273.51727814382895, 362.26484685131197, 464.80925879300298, 571.05809489795934, 26.418334183673469, 118.58690218658893, 235.65489568148689, 377.46362485422748, 554.83594890670554, 764.83203053935858, 1015.1273887900876, 1276.0984719387757, 23.295167346938779, 169.06494623906704, 343.69186297376086, 559.7853345772595, 836.15461966958196, 1167.3992142274051, 1565.4455187871722, 1981.1388489795918, 21.823392653061227, 222.83265130417885, 472.45379858600586, 795.44837871720142, 1174.8842335704569, 1543.4152790437317, 1945.2266863183679, 2358.5925306122449, 21.805595102040819, 279.49675619825075, 619.46314463556848, 1078.076089212828, 1564.1616228338191, 1896.0542676618074, 2174.8576629877552, 2447.6207346938772, 21.787797551020411, 336.16086109232265, 766.47249068513111, 1360.7037997084549, 1953.4390120971816, 2248.6932562798829, 2404.4886396571433, 2536.64893877551, 21.770000000000003, 392.8249659863946, 913.48183673469384, 1643.331510204082, 2342.7164013605443, 2601.3322448979588, 2634.1196163265308, 2625.6771428571428, 47.03857142857143, 32.294666666666664, 39.655204081632654, 52.333755102040818, 66.056870748299303, 79.655795918367346, 94.904048979591849, 110.69571428571429, 31.4618112244898, 60.027269698736646, 109.31101308309036, 164.18323034985428, 226.53348555879492, 296.57316871720116, 377.61696073469392, 461.6498928571429, 27.707640306122446, 101.52058415937805, 197.02186251822158, 308.25257120991256, 443.23278785228376, 602.26389059766768, 794.2130148979594, 995.03794642857144, 23.953469387755103, 143.0138986200194, 284.73271195335275, 452.32191206997084, 659.93209014577235, 907.95461247813398, 1210.8090690612244, 1528.4259999999999, 22.096767346938773, 186.56175919922259, 385.1060212390671, 631.63031250145787, 943.5575367035957, 1305.3664132711372, 1664.3889660991258, 2019.3338204081635, 21.910702040816325, 231.91855601943632, 496.6280617784256, 841.96513350437328, 1286.1084689135077, 1783.5345340174924, 2150.5314876034986, 2472.8396897959183, 21.724636734693878, 277.27535283965011, 608.15010231778422, 1052.2999545072887, 1628.6594011234206, 2261.7026547638479, 2636.6740091078714, 2926.3455591836728, 21.53857142857143, 322.6321496598639, 719.67214285714283, 1262.6347755102042, 1971.210333333333, 2739.8707755102037, 3122.8165306122451, 3379.8514285714286, 48.172142857142859, 34.1152925170068, 39.812755102040818, 51.5600612244898, 65.615465986394554, 79.399040816326519, 94.464034693877551, 109.96857142857144, 33.996096428571427, 52.22108403790088, 92.038355357142862, 135.3683000145773, 183.62870803692908, 237.10243908163267, 298.29584687172019, 361.59696479591844, 29.556062499999996, 84.769836188046639, 160.74966900510205, 246.17866242711372, 346.31590522351797, 462.23331913265304, 600.79137528425667, 745.49898852040815, 25.116028571428572, 117.3185883381924, 229.46098265306119, 356.98902483965014, 509.00310241010675, 687.36419918367335, 903.28690369679305, 1129.4010122448979, 22.869793469387755, 151.34435734499516, 305.45451635568514, 488.96920695043741, 713.93443163848406, 980.47258414577254, 1273.7336899620996, 1572.743070204082, 22.555100408163263, 186.67057383090378, 387.85972008746353, 639.58847130029164, 956.05983537803672, 1333.4321309271136, 1704.0085286822157, 2068.4194277551019, 22.240407346938778, 221.99679031681239, 470.26492381924197, 790.20773565014576, 1198.1852391175898, 1686.3916777084546, 2134.2833674023323, 2564.0957853061223, 21.925714285714285, 257.32300680272107, 552.67012755102041, 940.82700000000011, 1440.3106428571427, 2039.3512244897956, 2564.5582061224495, 3059.7721428571431, 49.354285714285716, 36.632401360544222, 40.749489795918372, 51.042102040816339, 64.626265306122448, 78.587408163265295, 93.677473469387763, 109.11500000000001, 37.089295408163267, 45.091101822157441, 75.658611279154542, 108.27292311953356, 143.6558939091351, 182.14881000000003, 225.54025218513127, 270.28158724489799, 32.070335459183667, 68.480038083090392, 125.77860782616619, 188.00535940233243, 258.06514529276001, 337.00742500000001, 429.65019986516046, 526.05641198979606, 27.051375510204085, 91.868974344023314, 175.89860437317788, 267.73779568513123, 372.47439667638486, 491.86603999999994, 633.76014754518962, 781.8312367346939, 24.361997551020409, 116.59068105733722, 229.69027080174931, 358.0967598367348, 509.27644487949482, 684.21993831486884, 893.97807862099171, 1113.227684489796, 23.723712653061227, 142.48583272303208, 286.71467883381922, 457.81190791836747, 665.79435214188538, 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1461.767075918367, 1701.2397769795919, 1875.5746285714285, 71.981494285714291, 266.94107703401363, 569.25959051020413, 974.48096367346966, 1346.5617256734695, 1777.3032756734692, 2009.4535022040818, 2173.4086600000001, 70.987662857142851, 334.84151167346937, 755.37353653061211, 1330.4089281632655, 1626.9814361632652, 1921.0428504489794, 2071.4841157551018, 2172.99244, 69.993831428571426, 402.74194631292517, 941.48748255102021, 1686.3368926530616, 1907.4011466530612, 2064.7824252244895, 2133.5147293061223, 2172.5762199999999, 69, 470.64238095238096, 1127.6014285714284, 2042.2648571428576, 2187.8208571428572, 2208.5219999999999, 2195.5453428571427, 2172.1599999999999, 91.587142857142851, 84.187809523809534, 86.599846938775514, 95.760448979591843, 108.20778911564625, 121.45375510204082, 136.72837142857145, 152.60857142857145, 83.352504081632674, 97.347230845481064, 146.47749037900877, 208.50348355685134, 283.99139759475224, 370.92807653061226, 472.10826820991269, 577.06820510204091, 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81.902522448979596, 113.72294822157437, 189.63856370262391, 277.40625714285716, 380.05680971817299, 498.16987871720119, 639.24617159183686, 786.59392653061229, 79.475369999999998, 133.22363903790091, 238.3866697376094, 363.8419326064141, 513.58259150631693, 687.74590102040838, 897.05607943207042, 1115.9216838775515, 77.942151428571435, 156.67625595724004, 293.97688696793006, 462.57584622740535, 669.47110975704561, 912.69177755102044, 1206.4515597574346, 1513.8815987755104, 76.408932857142872, 180.12887287657921, 349.56710419825077, 561.30975984839665, 825.35962800777452, 1137.6376540816327, 1515.8470400827991, 1911.8415136734698, 74.875714285714281, 203.58148979591837, 405.15732142857144, 660.04367346938784, 981.24814625850343, 1362.5835306122449, 1825.242520408164, 2309.8014285714289, 97.542857142857144, 92.878190476190468, 95.272704081632654, 99.887836734693877, 110.42274829931972, 121.37742857142857, 134.2700448979592, 147.80285714285714, 91.007538775510199, 81.033739999999995, 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588.01205442176854, 790.00465306122419, 1030.7989836734691, 1282.0271428571425, 99.178571428571445, 96.697170068027219, 99.130612244897947, 103.68151020408163, 112.69618367346938, 122.66620408163264, 134.78663673469387, 147.56, 93.6925693877551, 82.32358280855199, 92.00777405247814, 106.46829661807581, 124.13589487852283, 141.3418646355685, 161.90322087172012, 183.6462387755102, 91.940117346938763, 82.645359256559772, 98.345262390670555, 119.04304650145774, 143.31342543731779, 168.77697733236155, 198.25900497813419, 228.99055612244905, 90.18766530612244, 82.967135704567553, 104.682750728863, 131.61779638483969, 162.49095599611275, 196.21209002915458, 234.61478908454822, 274.33487346938784, 88.706564489795923, 85.710269220602527, 114.88424762390676, 150.20360660058316, 190.58243650534507, 235.50028852478144, 286.7466695755104, 339.70637387755119, 87.464376326530612, 90.585299661807568, 128.48783174927115, 174.08188739358604, 226.52225245481054, 285.22460051311964, 352.76869944489817, 422.7109159183675, 86.222188163265301, 95.460330103012637, 142.0914158746356, 197.96016818658899, 262.46206840427612, 334.94891250145787, 418.79072931428595, 505.71545795918382, 84.97999999999999, 100.33536054421771, 155.69500000000005, 221.83844897959193, 298.40188435374159, 384.6732244897961, 484.81275918367379, 588.72000000000025, 100.8, 101.07409523809524, 103.8625, 108.71599999999999, 115.68976190476189, 124.52600000000001, 135.82725714285715, 147.78999999999999, 100.8, 101.07409523809524, 103.8625, 108.71599999999999, 115.68976190476189, 124.52600000000001, 135.82725714285715, 147.78999999999999, 100.8, 101.07409523809524, 103.8625, 108.71599999999999, 115.68976190476189, 124.52600000000001, 135.82725714285715, 147.78999999999999, 100.8, 101.07409523809524, 103.8625, 108.71599999999999, 115.68976190476189, 124.52600000000001, 135.82725714285715, 147.78999999999999, 100.8, 101.07409523809524, 103.8625, 108.71599999999999, 115.68976190476189, 124.52600000000001, 135.82725714285715, 147.78999999999999, 100.8, 101.07409523809524, 103.8625, 108.71599999999999, 115.68976190476189, 124.52600000000001, 135.82725714285715, 147.78999999999999, 100.8, 101.07409523809524, 103.8625, 108.71599999999999, 115.68976190476189, 124.52600000000001, 135.82725714285715, 147.78999999999999, 100.8, 101.07409523809524, 103.8625, 108.71599999999999, 115.68976190476189, 124.52600000000001, 135.82725714285715, 147.78999999999999
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};
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BOOST_AUTO_TEST_SUITE_END() // Integration tests//
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