My Project
Loading...
Searching...
No Matches
SimpleHuDuanH2O.hpp
Go to the documentation of this file.
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 This file is part of the Open Porous Media project (OPM).
5
6 OPM is free software: you can redistribute it and/or modify
7 it under the terms of the GNU General Public License as published by
8 the Free Software Foundation, either version 2 of the License, or
9 (at your option) any later version.
10
11 OPM is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14 GNU General Public License for more details.
15
16 You should have received a copy of the GNU General Public License
17 along with OPM. If not, see <http://www.gnu.org/licenses/>.
18
19 Consult the COPYING file in the top-level source directory of this
20 module for the precise wording of the license and the list of
21 copyright holders.
22*/
27#ifndef OPM_SIMPLE_HU_DUAN_H2O_HPP
28#define OPM_SIMPLE_HU_DUAN_H2O_HPP
29
30#include "Component.hpp"
31#include "iapws/Common.hpp"
32
34#include <opm/common/TimingMacros.hpp>
35#include <opm/common/OpmLog/OpmLog.hpp>
36
39
40#include <cmath>
41#include <string_view>
42
43namespace Opm {
44
63template <class Scalar>
64class SimpleHuDuanH2O : public Component<Scalar, SimpleHuDuanH2O<Scalar>>
65{
68
69 static constexpr Scalar R = Constants<Scalar>::R / 18e-3; // specific gas constant of water
70
71public:
72 // OPM_HOST_DEVICE static Scalar R_()
73 // { return Scalar(R); }
74
78 OPM_HOST_DEVICE static std::string_view name()
79 { return "H2O"; }
80
84 OPM_HOST_DEVICE static bool gasIsCompressible()
85 { return true; }
86
90 OPM_HOST_DEVICE static bool liquidIsCompressible()
91 { return false; }
92
96 OPM_HOST_DEVICE static bool gasIsIdeal()
97 { return true; }
98
102 OPM_HOST_DEVICE static Scalar molarMass()
103 { return 18e-3; }
104
108 OPM_HOST_DEVICE static Scalar criticalTemperature()
109 { return 647.096; /* [K] */ }
110
114 OPM_HOST_DEVICE static Scalar criticalPressure()
115 { return 22.064e6; /* [N/m^2] */ }
116
120 OPM_HOST_DEVICE static Scalar tripleTemperature()
121 { return 273.16; /* [K] */ }
122
126 OPM_HOST_DEVICE static Scalar triplePressure()
127 { return 611.657; /* [N/m^2] */ }
128
141 template <class Evaluation>
142 OPM_HOST_DEVICE static Evaluation vaporPressure(const Evaluation& T)
143 {
144
145 OPM_TIMEFUNCTION_LOCAL();
146 if (T > criticalTemperature())
147 return criticalPressure();
148 if (T < tripleTemperature())
149 return 0; // water is solid: We don't take sublimation into account
150
151 static constexpr Scalar n[10] = {
152 0.11670521452767e4, -0.72421316703206e6, -0.17073846940092e2,
153 0.12020824702470e5, -0.32325550322333e7, 0.14915108613530e2,
154 -0.48232657361591e4, 0.40511340542057e6, -0.23855557567849,
155 0.65017534844798e3
156 };
157
158 Evaluation sigma = T + n[8]/(T - n[9]);
159
160 Evaluation A = (sigma + n[0])*sigma + n[1];
161 Evaluation B = (n[2]*sigma + n[3])*sigma + n[4];
162 Evaluation C = (n[5]*sigma + n[6])*sigma + n[7];
163
164 Evaluation tmp = 2.0*C/(sqrt(B*B - 4.0*A*C) - B);
165 tmp *= tmp;
166 tmp *= tmp;
167
168 return 1e6*tmp;
169 }
170
177 template <class Evaluation>
178 OPM_HOST_DEVICE static Evaluation gasEnthalpy(const Evaluation& temperature,
179 const Evaluation& /*pressure*/)
180 { return 1.976e3*temperature + 40.65e3/molarMass(); }
181
182
186 template <class Evaluation>
187 OPM_HOST_DEVICE static Evaluation gasHeatCapacity(const Evaluation&,
188 const Evaluation&)
189 { return 1.976e3; }
190
200 template <class Evaluation>
201 OPM_HOST_DEVICE static Evaluation liquidEnthalpy(const Evaluation& temperature,
202 const Evaluation& /*pressure*/)
203 { return (temperature - 288.71) * (4.18060737e+03 + 8.64644981e-02 * (temperature - 288.71)); }
204
208 template <class Evaluation>
209 OPM_HOST_DEVICE static Evaluation liquidHeatCapacity(const Evaluation&,
210 const Evaluation&)
211 { return 4.184e3; }
212
226 template <class Evaluation>
227 OPM_HOST_DEVICE static Evaluation gasInternalEnergy(const Evaluation& temperature,
228 const Evaluation& pressure)
229 {
230 return
231 gasEnthalpy(temperature, pressure) -
232 1/molarMass()* // conversion from [J/(mol K)] to [J/(kg K)]
233 IdealGas::R*temperature; // = pressure *spec. volume for an ideal gas
234 }
235
242 template <class Evaluation>
243 OPM_HOST_DEVICE static Evaluation liquidInternalEnergy(const Evaluation& temperature,
244 const Evaluation& pressure,
245 bool extrapolate)
246 {
247 return
248 liquidEnthalpy(temperature, pressure) -
249 pressure/liquidDensity(temperature, pressure, extrapolate);
250 }
251
258 template <class Evaluation>
259 OPM_HOST_DEVICE static Evaluation liquidThermalConductivity(const Evaluation& /*temperature*/,
260 const Evaluation& /*pressure*/)
261 {
262 return 0.578078; // conductivity of liquid water [W / (m K ) ] IAPWS evaluated at p=.1 MPa, T=8°C
263 }
264
271 template <class Evaluation>
272 OPM_HOST_DEVICE static Evaluation gasThermalConductivity(const Evaluation& /*temperature*/,
273 const Evaluation& /*pressure*/)
274 {
275 return 0.028224; // conductivity of steam [W / (m K ) ] IAPWS evaluated at p=.1 MPa, T=8°C
276 }
277
284 template <class Evaluation>
285 OPM_HOST_DEVICE static Evaluation gasDensity(const Evaluation& temperature, const Evaluation& pressure)
286 {
287 // Assume an ideal gas
288 return molarMass()*IdealGas::molarDensity(temperature, pressure);
289 }
290
297 template <class Evaluation>
298 OPM_HOST_DEVICE static Evaluation gasPressure(const Evaluation& temperature, const Evaluation& density)
299 {
300 // Assume an ideal gas
301 return IdealGas::pressure(temperature, density/molarMass());
302 }
303
312 template <class Evaluation>
313 OPM_HOST_DEVICE static Evaluation liquidDensity(const Evaluation& temperature, const Evaluation& pressure,
314 bool extrapolate)
315 {
316 return liquidDensity_(temperature, pressure, extrapolate);
317 }
318
325 template <class Evaluation>
326 OPM_HOST_DEVICE static Evaluation liquidPressure(const Evaluation& /*temperature*/, const Evaluation& /*density*/)
327 {
328#if OPM_IS_INSIDE_DEVICE_FUNCTION
329 assert(false && "The liquid pressure is undefined for incompressible fluids");
330#else
331 throw std::logic_error("The liquid pressure is undefined for incompressible fluids");
332#endif
333 }
334
342 template <class Evaluation>
343 OPM_HOST_DEVICE static Evaluation gasViscosity(const Evaluation& /*temperature*/,
344 const Evaluation& /*pressure*/)
345 {
346 return 1e-05;
347 }
348
357 template <class Evaluation>
358 OPM_HOST_DEVICE static Evaluation liquidViscosity(const Evaluation& temperature, const Evaluation& pressure,
359 bool extrapolate)
360 {
361 if (temperature > 570) {
362// This preprocessing statement loses this warning message
363// But printing it possibly thousands of times inside a gpu function also seems problematic
364#if !OPM_IS_INSIDE_DEVICE_FUNCTION
365 const std::string msg =
366 "Viscosity of water based on Hu et al is too "
367 "different from IAPWS for T above 570K and (T = " +
368 std::to_string(getValue(temperature)) + ")";
369 if (extrapolate)
370 {
371 OpmLog::warning(msg);
372 }
373 else
374 throw NumericalProblem(msg);
375#else
376 // no warning on the GPU when using extrapolate is somewhat bad,
377 // but how does one tame warning output when encountered by thousands of threads?
378 if (!extrapolate) {
379 assert(false && "Viscosity of water based on Hu et al is too different from IAPWS for T above 570K");
380 }
381#endif
382 }
383
384 const Evaluation rho = liquidDensity(temperature, pressure, extrapolate);
385 return Common::viscosity(temperature, rho);
386 }
387
388private:
389
398 template <class Evaluation>
399 OPM_HOST_DEVICE static Evaluation liquidDensity_(const Evaluation& T, const Evaluation& pressure, bool extrapolate) {
400 // Hu, Duan, Zhu and Chou: PVTx properties of the CO2-H2O and CO2-H2O-NaCl
401 // systems below 647 K: Assessment of experimental data and
402 // thermodynamics models, Chemical Geology, 2007.
403 OPM_TIMEBLOCK_LOCAL(liquidDensity_);
404 if (T > 647 || pressure > 100e6) {
405#if !OPM_IS_INSIDE_DEVICE_FUNCTION
406 const std::string msg =
407 "Density of water is only implemented for temperatures "
408 "below 647K and pressures below 100MPa. (T = " +
409 std::to_string(getValue(T)) + ", p=" +
410 std::to_string(getValue(pressure)) + ")";
411 if (extrapolate)
412 {
413 OpmLog::warning(msg);
414 }
415 else
416 throw NumericalProblem(msg);
417#else
418 // no warning on the GPU when using extrapolate is somewhat bad,
419 // but how does one tame warning output when encountered by thousands of threads?
420 if (!extrapolate) {
421 assert(false && "Density of water is only implemented for temperatures below 647K and pressures below 100MPa");
422 }
423#endif
424 }
425
426 Evaluation p = pressure / 1e6; // to MPa
427 Scalar Mw = molarMass() * 1e3; //kg/kmol
428
429 static constexpr Scalar k0[5] = { 3.27225e-07, -4.20950e-04, 2.32594e-01, -4.16920e+01, 5.71292e+03 };
430 static constexpr Scalar k1[5] = { -2.32306e-10, 2.91138e-07, -1.49662e-04, 3.59860e-02, -3.55071 };
431 static constexpr Scalar k2[3] = { 2.57241e-14, -1.24336e-11, 5.42707e-07 };
432 static constexpr Scalar k3[3] = { -4.42028e-18, 2.10007e-15, -8.11491e-11 };
433 Evaluation k0_eval = 1e-3 * (((k0[0]*T + k0[1])*T + k0[2])*T + k0[3] + k0[4]/T);
434 Evaluation k1_eval = 1e-2 * (((k1[0]*T + k1[1])*T + k1[2])*T + k1[3] + k1[4]/T);
435 Evaluation k2_eval = 1e-1 * ((k2[0]*T + k2[1])*T*T + k2[2]);
436 Evaluation k3_eval = (k3[0]*T + k3[1])*T*T + k3[2];
437
438 // molar volum (m³/kmol):
439 Evaluation vw = ((k3_eval*p + k2_eval)*p + k1_eval)*p + k0_eval;
440
441 // density kg/m3
442 return Mw / vw;
443
444 }
445
446};
447
448} // namespace Opm
449
450#endif
Implements relations which are common for all regions of the IAPWS '97 formulation.
Abstract base class of a pure chemical species.
Provides the OPM specific exception classes.
Relations valid for an ideal gas.
A traits class which provides basic mathematical functions for arbitrary scalar floating point values...
Abstract base class of a pure chemical species.
Definition Component.hpp:44
Definition Constants.hpp:40
Implements relations which are common for all regions of the IAPWS '97 formulation.
Definition Common.hpp:56
static OPM_HOST_DEVICE Evaluation viscosity(const Evaluation &temperature, const Evaluation &rho)
The dynamic viscosity of pure water.
Definition Common.hpp:103
Relations valid for an ideal gas.
Definition IdealGas.hpp:39
static OPM_HOST_DEVICE Evaluation pressure(const Evaluation &temperature, const Evaluation &rhoMolar)
The pressure of the gas in , depending on the molar density and temperature.
Definition IdealGas.hpp:59
static OPM_HOST_DEVICE Evaluation molarDensity(const Evaluation &temperature, const Evaluation &pressure)
The molar density of the gas , depending on pressure and temperature.
Definition IdealGas.hpp:68
static constexpr Scalar R
The ideal gas constant .
Definition IdealGas.hpp:42
Definition Exceptions.hpp:40
A simple version of pure water with density from Hu et al.
Definition SimpleHuDuanH2O.hpp:65
static OPM_HOST_DEVICE Evaluation liquidDensity(const Evaluation &temperature, const Evaluation &pressure, bool extrapolate)
The density of pure water at a given pressure and temperature .
Definition SimpleHuDuanH2O.hpp:313
static OPM_HOST_DEVICE Evaluation liquidViscosity(const Evaluation &temperature, const Evaluation &pressure, bool extrapolate)
The dynamic viscosity of pure water.
Definition SimpleHuDuanH2O.hpp:358
static OPM_HOST_DEVICE Evaluation gasDensity(const Evaluation &temperature, const Evaluation &pressure)
The density of steam at a given pressure and temperature.
Definition SimpleHuDuanH2O.hpp:285
static OPM_HOST_DEVICE Evaluation gasHeatCapacity(const Evaluation &, const Evaluation &)
Specific isobaric heat capacity of the component [J/kg] as a gas.
Definition SimpleHuDuanH2O.hpp:187
static OPM_HOST_DEVICE Scalar criticalTemperature()
Returns the critical temperature of water.
Definition SimpleHuDuanH2O.hpp:108
static OPM_HOST_DEVICE Evaluation liquidPressure(const Evaluation &, const Evaluation &)
The pressure of water in at a given density and temperature.
Definition SimpleHuDuanH2O.hpp:326
static OPM_HOST_DEVICE Evaluation gasThermalConductivity(const Evaluation &, const Evaluation &)
Specific heat conductivity of steam .
Definition SimpleHuDuanH2O.hpp:272
static OPM_HOST_DEVICE Evaluation liquidThermalConductivity(const Evaluation &, const Evaluation &)
Specific heat conductivity of liquid water .
Definition SimpleHuDuanH2O.hpp:259
static OPM_HOST_DEVICE Evaluation gasInternalEnergy(const Evaluation &temperature, const Evaluation &pressure)
Specific internal energy of steam .
Definition SimpleHuDuanH2O.hpp:227
static OPM_HOST_DEVICE Evaluation liquidHeatCapacity(const Evaluation &, const Evaluation &)
Specific isobaric heat capacity of the component [J/kg] as a liquid.
Definition SimpleHuDuanH2O.hpp:209
static OPM_HOST_DEVICE Scalar tripleTemperature()
Returns the temperature at water's triple point.
Definition SimpleHuDuanH2O.hpp:120
static OPM_HOST_DEVICE bool liquidIsCompressible()
Returns true iff the liquid phase is assumed to be compressible.
Definition SimpleHuDuanH2O.hpp:90
static OPM_HOST_DEVICE Evaluation gasViscosity(const Evaluation &, const Evaluation &)
The dynamic viscosity of steam.
Definition SimpleHuDuanH2O.hpp:343
static OPM_HOST_DEVICE Scalar molarMass()
The molar mass in of water.
Definition SimpleHuDuanH2O.hpp:102
static OPM_HOST_DEVICE Scalar triplePressure()
Returns the pressure at water's triple point.
Definition SimpleHuDuanH2O.hpp:126
static OPM_HOST_DEVICE Evaluation gasEnthalpy(const Evaluation &temperature, const Evaluation &)
Specific enthalpy of water steam .
Definition SimpleHuDuanH2O.hpp:178
static OPM_HOST_DEVICE bool gasIsCompressible()
Returns true iff the gas phase is assumed to be compressible.
Definition SimpleHuDuanH2O.hpp:84
static OPM_HOST_DEVICE Evaluation vaporPressure(const Evaluation &T)
The vapor pressure in of pure water at a given temperature.
Definition SimpleHuDuanH2O.hpp:142
static OPM_HOST_DEVICE Evaluation liquidInternalEnergy(const Evaluation &temperature, const Evaluation &pressure, bool extrapolate)
Specific internal energy of liquid water .
Definition SimpleHuDuanH2O.hpp:243
static OPM_HOST_DEVICE std::string_view name()
A human readable name for the water.
Definition SimpleHuDuanH2O.hpp:78
static OPM_HOST_DEVICE Scalar criticalPressure()
Returns the critical pressure of water.
Definition SimpleHuDuanH2O.hpp:114
static OPM_HOST_DEVICE bool gasIsIdeal()
Returns true iff the gas phase is assumed to be ideal.
Definition SimpleHuDuanH2O.hpp:96
static OPM_HOST_DEVICE Evaluation gasPressure(const Evaluation &temperature, const Evaluation &density)
The pressure of steam in at a given density and temperature.
Definition SimpleHuDuanH2O.hpp:298
static OPM_HOST_DEVICE Evaluation liquidEnthalpy(const Evaluation &temperature, const Evaluation &)
Specific enthalpy of liquid water .
Definition SimpleHuDuanH2O.hpp:201
This class implements a small container which holds the transmissibility mulitpliers for all the face...
Definition Exceptions.hpp:30