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1 | // -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- | ||
2 | // vi: set et ts=4 sw=4 sts=4: | ||
3 | // | ||
4 | // SPDX-FileCopyrightInfo: Copyright © DuMux Project contributors, see AUTHORS.md in root folder | ||
5 | // SPDX-License-Identifier: GPL-3.0-or-later | ||
6 | // | ||
7 | /*! | ||
8 | * \file | ||
9 | * \ingroup TwoPNCMinTests | ||
10 | * \brief Problem where water is injected in a for flushing precipitated salt clogging a gas reservoir. | ||
11 | */ | ||
12 | #ifndef DUMUX_DISSOLUTION_PROBLEM_HH | ||
13 | #define DUMUX_DISSOLUTION_PROBLEM_HH | ||
14 | |||
15 | #include <dumux/common/properties.hh> | ||
16 | #include <dumux/common/parameters.hh> | ||
17 | #include <dumux/common/boundarytypes.hh> | ||
18 | #include <dumux/common/numeqvector.hh> | ||
19 | |||
20 | #include <dumux/porousmediumflow/problem.hh> | ||
21 | |||
22 | namespace Dumux { | ||
23 | |||
24 | /*! | ||
25 | * \ingroup TwoPNCMinTests | ||
26 | * \brief Problem where water is injected to flush precipitated salt in a gas reservoir clogged due to precipitated salt. | ||
27 | * | ||
28 | */ | ||
29 | template <class TypeTag> | ||
30 | class DissolutionProblem : public PorousMediumFlowProblem<TypeTag> | ||
31 | { | ||
32 | using ParentType = PorousMediumFlowProblem<TypeTag>; | ||
33 | using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; | ||
34 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
35 | using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>; | ||
36 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
37 | using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; | ||
38 | using SolidSystem = GetPropType<TypeTag, Properties::SolidSystem>; | ||
39 | |||
40 | enum | ||
41 | { | ||
42 | // primary variable indices | ||
43 | pressureIdx = Indices::pressureIdx, | ||
44 | switchIdx = Indices::switchIdx, | ||
45 | |||
46 | // component indices | ||
47 | // TODO: using xwNaClIdx as privaridx works here, but | ||
48 | // looks like magic. Can this be done differently?? | ||
49 | xwNaClIdx = FluidSystem::NaClIdx, | ||
50 | precipNaClIdx = FluidSystem::numComponents, | ||
51 | |||
52 | // Indices of the components | ||
53 | H2OIdx = FluidSystem::H2OIdx, | ||
54 | NaClIdx = FluidSystem::NaClIdx, | ||
55 | |||
56 | // Indices of the phases | ||
57 | liquidPhaseIdx = FluidSystem::liquidPhaseIdx, | ||
58 | gasPhaseIdx = FluidSystem::gasPhaseIdx, | ||
59 | |||
60 | // index of the solid phase | ||
61 | sPhaseIdx = SolidSystem::comp0Idx, | ||
62 | |||
63 | |||
64 | // Index of the primary component of G and L phase | ||
65 | conti0EqIdx = Indices::conti0EqIdx, | ||
66 | precipNaClEqIdx = Indices::conti0EqIdx + FluidSystem::numComponents, | ||
67 | |||
68 | // Phase State | ||
69 | bothPhases = Indices::bothPhases, | ||
70 | |||
71 | // Grid and world dimension | ||
72 | dim = GridView::dimension, | ||
73 | dimWorld = GridView::dimensionworld, | ||
74 | }; | ||
75 | |||
76 | using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; | ||
77 | using NumEqVector = Dumux::NumEqVector<PrimaryVariables>; | ||
78 | using BoundaryTypes = Dumux::BoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>; | ||
79 | using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView; | ||
80 | using Element = typename GridView::template Codim<0>::Entity; | ||
81 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
82 | using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>; | ||
83 | using FVElementGeometry = typename GetPropType<TypeTag, Properties::GridGeometry>::LocalView; | ||
84 | using SubControlVolume = typename FVElementGeometry::SubControlVolume; | ||
85 | using GlobalPosition = typename SubControlVolume::GlobalPosition; | ||
86 | |||
87 | public: | ||
88 | 2 | DissolutionProblem(std::shared_ptr<const GridGeometry> gridGeometry) | |
89 |
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6 | : ParentType(gridGeometry) |
90 | { | ||
91 |
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2 | outerSalinity_ = getParam<Scalar>("Problem.OuterSalinity"); |
92 |
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2 | reservoirPressure_ = getParam<Scalar>("Problem.ReservoirPressure"); |
93 |
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2 | initLiqSaturation_ = getParam<Scalar>("Problem.LiquidSaturation"); |
94 |
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2 | initPrecipitatedSaltBlock_ = getParam<Scalar>("Problem.InitPrecipitatedSaltBlock"); |
95 | |||
96 |
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2 | outerLiqSaturation_ = getParam<Scalar>("Problem.OuterLiqSaturation"); |
97 |
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2 | innerLiqSaturation_ = getParam<Scalar>("Problem.InnerLiqSaturation"); |
98 |
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2 | innerSalinity_ = getParam<Scalar>("Problem.InnerSalinity"); |
99 |
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2 | innerPressure_ = getParam<Scalar>("Problem.InnerPressure"); |
100 |
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2 | outerPressure_ = getParam<Scalar>("Problem.OuterPressure"); |
101 |
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2 | reservoirSaturation_ = getParam<Scalar>("Problem.reservoirSaturation"); |
102 | |||
103 |
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2 | nTemperature_ = getParam<int>("FluidSystem.NTemperature"); |
104 |
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2 | nPressure_ = getParam<int>("FluidSystem.NPressure"); |
105 |
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2 | pressureLow_ = getParam<Scalar>("FluidSystem.PressureLow"); |
106 |
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2 | pressureHigh_ = getParam<Scalar>("FluidSystem.PressureHigh"); |
107 |
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2 | temperatureLow_ = getParam<Scalar>("FluidSystem.TemperatureLow"); |
108 |
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2 | temperatureHigh_ = getParam<Scalar>("FluidSystem.TemperatureHigh"); |
109 |
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2 | name_ = getParam<std::string>("Problem.Name"); |
110 | |||
111 | 2 | unsigned int codim = GetPropType<TypeTag, Properties::GridGeometry>::discMethod == DiscretizationMethods::box ? dim : 0; | |
112 |
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6 | permeability_.resize(gridGeometry->gridView().size(codim)); |
113 | |||
114 | 4 | FluidSystem::init(/*Tmin=*/temperatureLow_, | |
115 | /*Tmax=*/temperatureHigh_, | ||
116 | 2 | /*nT=*/nTemperature_, | |
117 | /*pmin=*/pressureLow_, | ||
118 | /*pmax=*/pressureHigh_, | ||
119 |
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2 | /*np=*/nPressure_); |
120 | 2 | } | |
121 | |||
122 | ✗ | void setTime( Scalar time ) | |
123 | { | ||
124 |
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85 | time_ = time; |
125 | ✗ | } | |
126 | |||
127 | ✗ | void setTimeStepSize( Scalar timeStepSize ) | |
128 | { | ||
129 |
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85 | timeStepSize_ = timeStepSize; |
130 | ✗ | } | |
131 | |||
132 | |||
133 | /*! | ||
134 | * \brief The problem name. | ||
135 | * | ||
136 | * This is used as a prefix for files generated by the simulation. | ||
137 | */ | ||
138 | const std::string& name() const | ||
139 |
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2 | { return name_; } |
140 | |||
141 | /*! | ||
142 | * \brief Specifies which kind of boundary condition should be | ||
143 | * used for which equation on a given boundary segment. | ||
144 | */ | ||
145 | 155642 | BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const | |
146 | { | ||
147 | 155642 | BoundaryTypes bcTypes; | |
148 | |||
149 | 466926 | const Scalar rmax = this->gridGeometry().bBoxMax()[0]; | |
150 | 466926 | const Scalar rmin = this->gridGeometry().bBoxMin()[0]; | |
151 | |||
152 | // default to Neumann | ||
153 | 155642 | bcTypes.setAllNeumann(); | |
154 | |||
155 | // Constant pressure at reservoir boundary (Dirichlet condition) | ||
156 |
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311284 | if(globalPos[0] > rmax - eps_) |
157 | bcTypes.setAllDirichlet(); | ||
158 | |||
159 | // Constant pressure at well (Dirichlet condition) | ||
160 |
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311284 | if(globalPos[0] < rmin + eps_) |
161 | bcTypes.setAllDirichlet(); | ||
162 | |||
163 | 155642 | return bcTypes; | |
164 | } | ||
165 | |||
166 | /*! | ||
167 | * \brief Evaluates the boundary conditions for a Dirichlet boundary segment. | ||
168 | */ | ||
169 | 17860 | PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const | |
170 | { | ||
171 | 17860 | PrimaryVariables priVars(0.0); | |
172 |
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17860 | priVars.setState(bothPhases); |
173 | |||
174 |
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53580 | const Scalar rmax = this->gridGeometry().bBoxMax()[0]; |
175 |
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53580 | const Scalar rmin = this->gridGeometry().bBoxMin()[0]; |
176 | |||
177 |
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35720 | if(globalPos[0] > rmax - eps_) |
178 | { | ||
179 | 8930 | priVars[pressureIdx] = outerPressure_ ; // Outer boundary pressure bar | |
180 | 8930 | priVars[switchIdx] = outerLiqSaturation_; // Saturation outer boundary | |
181 | 8930 | priVars[xwNaClIdx] = massToMoleFrac_(outerSalinity_);// mole fraction salt | |
182 | 17860 | priVars[precipNaClIdx] = 0.0;// precipitated salt | |
183 | } | ||
184 | |||
185 |
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35720 | if(globalPos[0] < rmin + eps_) |
186 | { | ||
187 | 8930 | priVars[pressureIdx] = innerPressure_ ; // Inner boundary pressure bar | |
188 | 8930 | priVars[switchIdx] = innerLiqSaturation_; // Saturation inner boundary | |
189 | 8930 | priVars[xwNaClIdx] = massToMoleFrac_(innerSalinity_);// mole fraction salt | |
190 | 17860 | priVars[precipNaClIdx] = 0.0;// precipitated salt | |
191 | } | ||
192 | |||
193 | 17860 | return priVars; | |
194 | } | ||
195 | |||
196 | /*! | ||
197 | * \brief Evaluates the initial value for a control volume. | ||
198 | * | ||
199 | * \param globalPos The global position | ||
200 | * | ||
201 | */ | ||
202 | 431 | PrimaryVariables initialAtPos(const GlobalPosition& globalPos) const | |
203 | { | ||
204 | 431 | PrimaryVariables priVars(0.0); | |
205 | 431 | priVars.setState(bothPhases); | |
206 | |||
207 | 431 | priVars[pressureIdx] = reservoirPressure_; | |
208 | 431 | priVars[switchIdx] = initLiqSaturation_; // Sw primary variable | |
209 |
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431 | priVars[xwNaClIdx] = massToMoleFrac_(outerSalinity_); // mole fraction |
210 |
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862 | if(globalPos[0] > 5.0 - eps_ && globalPos[0] < 19.0 + eps_) |
211 | 314 | priVars[precipNaClIdx] = initPrecipitatedSaltBlock_; // [kg/m^3] | |
212 | else | ||
213 | 548 | priVars[precipNaClIdx] = 0.0; // [kg/m^3] | |
214 | |||
215 | 431 | return priVars; | |
216 | } | ||
217 | |||
218 | |||
219 | /*! | ||
220 | * \brief Evaluates the source term for all phases within a given | ||
221 | * sub-controlvolume. | ||
222 | * | ||
223 | * This is the method for the case where the source term is | ||
224 | * potentially solution dependent and requires some quantities that | ||
225 | * are specific to the fully-implicit method. | ||
226 | * | ||
227 | * \param element The finite element | ||
228 | * \param fvGeometry The finite-volume geometry | ||
229 | * \param elemVolVars All volume variables for the element | ||
230 | * \param scv The subcontrolvolume | ||
231 | * | ||
232 | */ | ||
233 | 3791600 | NumEqVector source(const Element &element, | |
234 | const FVElementGeometry& fvGeometry, | ||
235 | const ElementVolumeVariables& elemVolVars, | ||
236 | const SubControlVolume &scv) const | ||
237 | { | ||
238 | 3791600 | NumEqVector source(0.0); | |
239 | |||
240 | 3791600 | const auto& volVars = elemVolVars[scv]; | |
241 | |||
242 | 3791600 | Scalar moleFracNaCl_wPhase = volVars.moleFraction(liquidPhaseIdx, NaClIdx); | |
243 | 3791600 | Scalar massFracNaCl_Max_wPhase = this->spatialParams().solubilityLimit(); | |
244 | 3791600 | Scalar moleFracNaCl_Max_wPhase = massToMoleFrac_(massFracNaCl_Max_wPhase); | |
245 | 3791600 | Scalar saltPorosity = this->spatialParams().minimalPorosity(element, scv); | |
246 | |||
247 | // liquid phase | ||
248 | using std::abs; | ||
249 | 7583200 | Scalar precipSalt = volVars.porosity() * volVars.molarDensity(liquidPhaseIdx) | |
250 |
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3791600 | * volVars.saturation(liquidPhaseIdx) |
251 |
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3791600 | * abs(moleFracNaCl_wPhase - moleFracNaCl_Max_wPhase) |
252 | 3791600 | / timeStepSize_; | |
253 |
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3791600 | if (moleFracNaCl_wPhase < moleFracNaCl_Max_wPhase) |
254 | 1498298 | precipSalt *= -1; | |
255 | |||
256 | // make sure we don't dissolve more salt than previously precipitated | ||
257 |
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7583200 | if (precipSalt*timeStepSize_ + volVars.solidVolumeFraction(sPhaseIdx)* volVars.solidComponentMolarDensity(sPhaseIdx)< 0) |
258 | 738130 | precipSalt = -volVars.solidVolumeFraction(sPhaseIdx)* volVars.solidComponentMolarDensity(sPhaseIdx)/timeStepSize_; | |
259 | |||
260 |
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11374800 | if (volVars.solidVolumeFraction(sPhaseIdx) >= this->spatialParams().referencePorosity(element, scv) - saltPorosity && precipSalt > 0) |
261 | precipSalt = 0; | ||
262 | |||
263 | 7583200 | source[conti0EqIdx + NaClIdx] += -precipSalt; | |
264 | 7583200 | source[precipNaClEqIdx] += precipSalt; | |
265 | 3791600 | return source; | |
266 | |||
267 | } | ||
268 | |||
269 | /*! | ||
270 | * \brief Adds additional VTK output data to the VTKWriter. | ||
271 | * | ||
272 | * Function is called by the output module on every write. | ||
273 | */ | ||
274 | |||
275 | const std::vector<Scalar>& getPermeability() | ||
276 | { | ||
277 |
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2 | return permeability_; |
278 | } | ||
279 | |||
280 | 87 | void updateVtkOutput(const SolutionVector& curSol) | |
281 | { | ||
282 |
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174 | auto fvGeometry = localView(this->gridGeometry()); |
283 |
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35148 | for (const auto& element : elements(this->gridGeometry().gridView())) |
284 | { | ||
285 |
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34800 | const auto elemSol = elementSolution(element, curSol, this->gridGeometry()); |
286 |
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17400 | fvGeometry.bindElement(element); |
287 | |||
288 |
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105200 | for (auto&& scv : scvs(fvGeometry)) |
289 | { | ||
290 | 43800 | VolumeVariables volVars; | |
291 |
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43800 | volVars.update(elemSol, *this, element, scv); |
292 | 43800 | const auto dofIdxGlobal = scv.dofIndex(); | |
293 | 87600 | permeability_[dofIdxGlobal] = volVars.permeability(); | |
294 | } | ||
295 | } | ||
296 | 87 | } | |
297 | |||
298 | private: | ||
299 | |||
300 | /*! | ||
301 | * \brief Returns the molality of NaCl (mol NaCl / kg water) for a given mole fraction. | ||
302 | * | ||
303 | * \param massFracNaClInWater The mass fraction of NaCl in liquid phase water (kg NaCl / kg solution) | ||
304 | */ | ||
305 | 3809891 | static Scalar massToMoleFrac_(Scalar massFracNaClInWater) | |
306 | { | ||
307 | 3809891 | const Scalar molarMassWater = FluidSystem::molarMass(H2OIdx); // in kg/mol | |
308 | 3809891 | const Scalar molarMassNaCl = FluidSystem::molarMass(NaClIdx); // in kg/mol | |
309 | |||
310 | 3809891 | const auto moleFracNaClInWater = -molarMassWater * massFracNaClInWater / ((molarMassNaCl - molarMassWater) * massFracNaClInWater - molarMassNaCl); | |
311 | 3809891 | return moleFracNaClInWater; | |
312 | } | ||
313 | |||
314 | int nTemperature_; | ||
315 | int nPressure_; | ||
316 | std::string name_; | ||
317 | |||
318 | Scalar pressureLow_, pressureHigh_; | ||
319 | Scalar temperatureLow_, temperatureHigh_; | ||
320 | Scalar outerSalinity_; | ||
321 | Scalar reservoirPressure_; | ||
322 | Scalar innerPressure_; | ||
323 | Scalar outerPressure_; | ||
324 | Scalar initLiqSaturation_; | ||
325 | Scalar outerLiqSaturation_; | ||
326 | Scalar innerLiqSaturation_; | ||
327 | Scalar initPrecipitatedSaltBlock_; | ||
328 | Scalar innerSalinity_; | ||
329 | Scalar time_ = 0.0; | ||
330 | Scalar timeStepSize_ = 0.0; | ||
331 | static constexpr Scalar eps_ = 1e-6; | ||
332 | Scalar reservoirSaturation_; | ||
333 | std::vector<double> permeability_; | ||
334 | }; | ||
335 | |||
336 | } // end namespace Dumux | ||
337 | |||
338 | #endif | ||
339 |