diff --git a/doc/handbook/dumux-handbook.bib b/doc/handbook/dumux-handbook.bib index c6761ee4f5c35ec716046f1a1703acfa6056510e..27d3c3650535c1e0f5b0c716513bcffeb8b35de8 100644 --- a/doc/handbook/dumux-handbook.bib +++ b/doc/handbook/dumux-handbook.bib @@ -419,6 +419,17 @@ month = {December} } +@phdthesis{darcis2013, + author = {Melanie Yvonne Darcis}, + title = {Coupling models of different complexity for the simulation of CO2 storage in deep saline aquifers}, + school = {Universit\"at Stuttgart}, + year = {2013}, + address = {Holzgartenstr. 16, 70174 Stuttgart}, + language = {eng}, + URL = {http://elib.uni-stuttgart.de/opus/volltexte/2013/8141}, + ISBN = {978-3-942036-22-1}, +} + @MISC{DARCY1856, author = {H. Darcy}, title = {L{es Fontaines publiques de la ville de Dijon}}, @@ -1060,6 +1071,17 @@ url={https://www.osti.gov/scitech/biblio/6504847} } +@article{rutqvist2002, + title={A study of caprock hydromechanical changes associated with CO2-injection into a brine formation}, + author={Rutqvist, Jonny and Tsang, Chin-Fu}, + journal={Environmental Geology}, + volume={42}, + number={2-3}, + pages={296--305}, + year={2002}, + publisher={Springer} +} + @article{palliser1998, title={{A model for deep geothermal brines, III: Thermodynamic properties--enthalpy and viscosity}}, author={Palliser, C. and McKibbin, R.}, diff --git a/dumux/geomechanics/el2p/fluxvariables.hh b/dumux/geomechanics/el2p/fluxvariables.hh index ad13866d87108c71e1ea37006cdc8a6258cfc333..b28e077f0fd3269d7883c46c11ff665b3dd9690c 100644 --- a/dumux/geomechanics/el2p/fluxvariables.hh +++ b/dumux/geomechanics/el2p/fluxvariables.hh @@ -136,7 +136,6 @@ public: elTwoPGradients_(problem, element, elemVolVars); calculateDDt_(problem, element, elemVolVars); - calculateK_(problem, element, elemVolVars); } public: @@ -259,27 +258,6 @@ protected: timeDerivUNormal_ = tmp * face().normal; } - /*! - * \brief Calculation the harmonic mean of the intrinsic permeability tensor - * \param problem The considered problem file - * \param element The considered element of the grid - * \param elemVolVars The parameters stored in the considered element - */ - void calculateK_(const Problem &problem, - const Element &element, - const ElementVolumeVariables &elemVolVars) - { - // calculate the mean intrinsic permeability - const SpatialParams &spatialParams = problem.spatialParams(); - spatialParams.meanK(K_, - spatialParams.intrinsicPermeability(element, - this->fvGeometry_(), - face().i), - spatialParams.intrinsicPermeability(element, - this->fvGeometry_(), - face().j)); - } - //! time derivative of solid displacement times normal vector at integration point Scalar timeDerivUNormal_; //! change of solid displacement with time at integration point diff --git a/dumux/geomechanics/el2p/localresidual.hh b/dumux/geomechanics/el2p/localresidual.hh index 92c8d46514099d1e24fbde7533c171cfbc8b684e..1896555fbd3eb11e975c63bc4e1da94a12d49573 100644 --- a/dumux/geomechanics/el2p/localresidual.hh +++ b/dumux/geomechanics/el2p/localresidual.hh @@ -55,6 +55,7 @@ protected: typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables; typedef typename GET_PROP_TYPE(TypeTag, ElementVolumeVariables) ElementVolumeVariables; typedef typename GET_PROP_TYPE(TypeTag, Indices) Indices; + typedef typename GET_PROP_TYPE(TypeTag, EffectivePermeabilityModel) EffectivePermeabilityModel; enum { numFluidPhases = GET_PROP_VALUE(TypeTag, NumPhases) @@ -146,29 +147,20 @@ public: // according to the relation given in Rutqvist and Tsang (2002) // this evaluation should be moved to another location DimVector tmpVec; + DimMatrix Keff, Keff_i, Keff_j; + Keff_i = EffectivePermeabilityModel::effectivePermeability(this->curVolVars_()[fluxVars.face().i], + this->problem_().spatialParams(), + this->element_(), + this->fvGeometry_(), + fluxVars.face().i); + Keff_j = EffectivePermeabilityModel::effectivePermeability(this->curVolVars_()[fluxVars.face().j], + this->problem_().spatialParams(), + this->element_(), + this->fvGeometry_(), + fluxVars.face().j); - Scalar exp_i, exp_j; - // evaluate effective permeabilities for nodes i and j based on the - // effective porosities, the initial porosities and the initial permeabilities - exp_i = - 22.2 - * (this->curVolVars_()[fluxVars.face().i].effPorosity - / this->curVolVars_()[fluxVars.face().i].porosity() - - 1); - exp_j = - 22.2 - * (this->curVolVars_()[fluxVars.face().j].effPorosity - / this->curVolVars_()[fluxVars.face().j].porosity() - - 1); - Keff_i = fluxVars.intrinsicPermeability(); - Keff_i *= exp(exp_i); - Keff_j = fluxVars.intrinsicPermeability(); - Keff_j *= exp(exp_j); - - // calculate the mean effective permeability at integration point this->problem_().spatialParams().meanK(Keff, Keff_i, Keff_j); - // loop over all phases for (int phaseIdx = 0; phaseIdx < numFluidPhases; ++phaseIdx) { // data attached to upstream and the downstream vertices diff --git a/dumux/geomechanics/el2p/properties.hh b/dumux/geomechanics/el2p/properties.hh index 97bf223c2879d18d512efb61e1f193cfbbd20f58..3812656dcf8c59af1188a21b99aef7e88aa1cf8b 100644 --- a/dumux/geomechanics/el2p/properties.hh +++ b/dumux/geomechanics/el2p/properties.hh @@ -82,6 +82,8 @@ NEW_PROP_TAG(LocalOperator); //! The type traits required for using the AMG backend NEW_PROP_TAG(AmgTraits); + +NEW_PROP_TAG(EffectivePermeabilityModel); } } diff --git a/dumux/geomechanics/el2p/propertydefaults.hh b/dumux/geomechanics/el2p/propertydefaults.hh index 3965db8f5802494fb855b892eee20e863caf6030..ed0234067bd7153dbdb2fe86d55328f2ad318c7c 100644 --- a/dumux/geomechanics/el2p/propertydefaults.hh +++ b/dumux/geomechanics/el2p/propertydefaults.hh @@ -60,6 +60,8 @@ #include #include +#include + namespace Dumux { @@ -138,6 +140,15 @@ public: typedef typename MaterialLaw::Params type; }; +SET_PROP(BoxElasticTwoP, EffectivePermeabilityModel) +{ +private: + typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar; +public: + typedef Dumux::PermeabilityRutqvistTsang type; +}; + +// SET_TYPE_PROP(BoxElasticTwoP, EffectivePermeabilityModel, Dumux::PermeabilityRutqvistTsang); // use the SuperLU linear solver by default #if HAVE_SUPERLU diff --git a/dumux/material/fluidmatrixinteractions/permeabilityrutqvisttsang.hh b/dumux/material/fluidmatrixinteractions/permeabilityrutqvisttsang.hh new file mode 100644 index 0000000000000000000000000000000000000000..1ffc3138475f9039d468e77cc37e17e11093226c --- /dev/null +++ b/dumux/material/fluidmatrixinteractions/permeabilityrutqvisttsang.hh @@ -0,0 +1,92 @@ +// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- +// vi: set et ts=4 sw=4 sts=4: +/***************************************************************************** + * See the file COPYING for full copying permissions. * + * * + * This program 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. * + * * + * This program 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 this program. If not, see . * + *****************************************************************************/ +/*! + * \file + * + * \brief Relation for the effective permeability + */ +#ifndef PERMEABILITYRUTQVISTSTANG_HH +#define PERMEABILITYRUTQVISTSTANG_HH + +#include + +namespace Dumux +{ + +/*! + * \ingroup fluidmatrixinteractionslaws + * + * \brief Relation for the effective permeability + * + * After Rutqvist and Tsang (2002) \cite rutqvist2002, the effective permeability can be + * calculated from the intrinsic permeability \f$ k_{\text{0}} \f$, the initial porosity + * \f$ \phi_{\text{0}} \f$ and the effective porosity \f$ \phi_{\text{eff}} \f$ as used + * in Darcis, M.: Coupling Models of Different Complexity for the Simulation of CO2 + * Storage in Deep Saline Aquifers, PhD thesis \cite darcis2013. + * The calculation is shown here for one diagonal entry of the permeability tensor: + * + * \f$ k_\text{eff} = k_{\text{0}} \cdot \text{exp} \left[22.2\left(\phi_\text{eff}/ \phi_\text{0} -1 \right) \right] \f$ + * + */ +template +class PermeabilityRutqvistTsang +{ +public: + /*! + * \brief effective permeability tensor \f$\mathrm{[m^{2})]}\f$ after Rutqvist and Tsang (2002) \cite rutqvist2002
+ * + * \param volVars volume variables + * \param fluxVars flux variables + * \param spatialParams spatial parameters + * \param element element (to be passed to spatialParams) + * \param fvGeometry fvGeometry (to be passed to spatialParams) + * + * \return effective permeability tensor \f$\mathrm{[m^{2})]}\f$ after Rutqvist and Tsang (2002) \cite rutqvist2002
+ * + * This calculates the entries of effective permeability tensor from the intrinsic + * permeability, the initial and the effective porosity as used in Darcis, M.: + * Coupling Models of Different Complexity for the Simulation of CO2 Storage in + * Deep Saline Aquifers, PhD thesis \cite darcis2013 . + */ + template + static auto effectivePermeability(const VolumeVariables& volVars, + const SpatialParams& spatialParams, + const Element& element, + const FVGeometry& fvGeometry, + int scvIdx) + { + Scalar effPorosity = volVars.effPorosity; + Scalar initialPorosity = spatialParams.porosity(element, fvGeometry, scvIdx); + + // evaluate effective permeabilities for nodes i and j based on the + // effective porosities, the initial porosities and the initial permeabilities + Scalar exponent = + 22.2 + * (effPorosity / initialPorosity - 1); + + auto Keff + = spatialParams.intrinsicPermeability(element, fvGeometry, scvIdx); + Keff *= exp(exponent); + + return Keff; + } + +}; +} +#endif diff --git a/test/references/el2p-parallel-reference.vtu b/test/references/el2p-parallel-reference.vtu index d6908630c56c1132cccbd84eb3a1ef9c724dcbe3..5661ff0e8b0b9e699df4bf81e7daeb16b0bf1043 100644 --- a/test/references/el2p-parallel-reference.vtu +++ b/test/references/el2p-parallel-reference.vtu @@ -11,118 +11,118 @@ 313.15 313.15 - 2.09108e+07 2.09108e+07 2.11522e+07 2.12389e+07 1.83157e+07 1.83157e+07 1.87008e+07 1.90482e+07 2.12389e+07 2.13996e+07 1.90482e+07 1.91824e+07 - 2.11522e+07 2.12389e+07 1.87008e+07 1.90482e+07 2.09108e+07 2.09108e+07 1.83157e+07 1.83157e+07 1.57134e+07 1.57134e+07 1.63926e+07 1.65411e+07 - 1.65411e+07 2.45233e+07 1.63926e+07 1.65411e+07 1.57134e+07 1.57134e+07 1.31046e+07 1.31046e+07 1.34523e+07 1.37949e+07 1.37949e+07 1.39894e+07 - 1.34523e+07 1.37949e+07 1.31046e+07 1.31046e+07 1.04901e+07 1.04901e+07 1.04901e+07 1.04901e+07 1.04901e+07 1.04901e+07 1.04901e+07 1.04901e+07 + 2.08789e+07 2.08789e+07 2.11188e+07 2.12054e+07 1.82817e+07 1.82817e+07 1.86687e+07 1.90162e+07 2.12054e+07 2.13659e+07 1.90162e+07 1.91503e+07 + 2.11188e+07 2.12054e+07 1.86687e+07 1.90162e+07 2.08789e+07 2.08789e+07 1.82817e+07 1.82817e+07 1.56845e+07 1.56845e+07 1.63659e+07 1.65145e+07 + 1.65145e+07 2.44988e+07 1.63659e+07 1.65145e+07 1.56845e+07 1.56845e+07 1.30873e+07 1.30873e+07 1.34366e+07 1.37793e+07 1.37793e+07 1.3974e+07 + 1.34366e+07 1.37793e+07 1.30873e+07 1.30873e+07 1.04901e+07 1.04901e+07 1.04901e+07 1.04901e+07 1.04901e+07 1.04901e+07 1.04901e+07 1.04901e+07 1.04901e+07 1.04901e+07 - 2.09283e+07 2.09283e+07 2.11697e+07 2.12565e+07 1.83333e+07 1.83333e+07 1.87184e+07 1.90658e+07 2.12565e+07 2.14172e+07 1.90658e+07 1.92e+07 - 2.11697e+07 2.12565e+07 1.87184e+07 1.90658e+07 2.09283e+07 2.09283e+07 1.83333e+07 1.83333e+07 1.5731e+07 1.5731e+07 1.64102e+07 1.65587e+07 - 1.65587e+07 2.45438e+07 1.64102e+07 1.65587e+07 1.5731e+07 1.5731e+07 1.31222e+07 1.31222e+07 1.34699e+07 1.38124e+07 1.38124e+07 1.40069e+07 - 1.34699e+07 1.38124e+07 1.31222e+07 1.31222e+07 1.05077e+07 1.05077e+07 1.05077e+07 1.05077e+07 1.05077e+07 1.05077e+07 1.05077e+07 1.05077e+07 + 2.08964e+07 2.08964e+07 2.11364e+07 2.1223e+07 1.82993e+07 1.82993e+07 1.86863e+07 1.90338e+07 2.1223e+07 2.13835e+07 1.90338e+07 1.91678e+07 + 2.11364e+07 2.1223e+07 1.86863e+07 1.90338e+07 2.08964e+07 2.08964e+07 1.82993e+07 1.82993e+07 1.57021e+07 1.57021e+07 1.63835e+07 1.65321e+07 + 1.65321e+07 2.45192e+07 1.63835e+07 1.65321e+07 1.57021e+07 1.57021e+07 1.31049e+07 1.31049e+07 1.34541e+07 1.37969e+07 1.37969e+07 1.39916e+07 + 1.34541e+07 1.37969e+07 1.31049e+07 1.31049e+07 1.05077e+07 1.05077e+07 1.05077e+07 1.05077e+07 1.05077e+07 1.05077e+07 1.05077e+07 1.05077e+07 1.05077e+07 1.05077e+07 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.8 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 - 17569.9 20467.7 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17570.1 + 17569.9 20468.6 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17570.1 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 17569.9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0.999999 - 0.999999 0.938099 1 0.999999 1 1 1 1 1 1 1 0.999994 + 0.999999 0.938081 1 0.999999 1 1 1 1 1 1 1 0.999994 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - 0 0 0 0 0 0 -2.55006e-16 -2.85954e-11 0 0 -2.85954e-11 -1.90771e-06 - 0 0 -2.55006e-16 -2.85954e-11 0 0 0 0 0 0 1.22683e-11 1.15208e-06 - 1.15208e-06 0.0619015 1.22683e-11 1.15208e-06 0 0 0 0 1.64771e-15 9.82589e-11 9.82589e-11 5.80911e-06 - 1.64771e-15 9.82589e-11 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 -2.79107e-16 -3.03227e-11 0 0 -3.03227e-11 -1.9951e-06 + 0 0 -2.79107e-16 -3.03227e-11 0 0 0 0 0 0 1.26192e-11 1.16498e-06 + 1.16498e-06 0.0619192 1.26192e-11 1.16498e-06 0 0 0 0 1.73792e-15 1.02144e-10 1.02144e-10 5.95419e-06 + 1.73792e-15 1.02144e-10 0 0 0 0 0 0 0 0 0 0 0 0 - 1056.56 1056.56 1056.65 1056.68 1059.68 1059.68 1059.82 1059.95 1056.68 1056.74 1059.95 1060 - 1056.65 1056.68 1059.82 1059.95 1056.56 1056.56 1059.68 1059.68 1062.5 1062.5 1062.76 1062.81 - 1062.81 1065.82 1062.76 1062.81 1062.5 1062.5 1064.99 1064.99 1065.13 1065.26 1065.26 1065.34 - 1065.13 1065.26 1064.99 1064.99 1067.12 1067.12 1067.12 1067.12 1067.12 1067.12 1067.12 1067.12 + 1056.55 1056.55 1056.63 1056.67 1059.66 1059.66 1059.81 1059.94 1056.67 1056.72 1059.94 1059.99 + 1056.63 1056.67 1059.81 1059.94 1056.55 1056.55 1059.66 1059.66 1062.49 1062.49 1062.75 1062.8 + 1062.8 1065.82 1062.75 1062.8 1062.49 1062.49 1064.99 1064.99 1065.12 1065.26 1065.26 1065.33 + 1065.12 1065.26 1064.99 1064.99 1067.12 1067.12 1067.12 1067.12 1067.12 1067.12 1067.12 1067.12 1067.12 1067.12 - 696.287 696.287 700.31 701.729 676.066 676.066 684.062 690.898 701.729 704.326 690.898 693.449 - 700.31 701.729 684.062 690.898 696.287 696.287 676.066 676.066 674.214 674.214 690.891 694.264 - 694.264 806.405 690.891 694.264 674.214 674.214 670.167 670.167 681.6 691.793 691.793 697.196 - 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