Add basic equilibration facility
This commit adds a simple facility for calculating initial phase
pressures assuming stationary conditions, a known reference pressure
in the oil zone as well as the depth and capillary pressures at the
water-oil and gas-oil contacts.
Function 'Opm::equil::phasePressures()' uses a simple ODE/IVP-based
approach, solved using the traditional RK4 method with constant step
sizes, to derive the required pressure values. Specifically, we
solve the ODE
dp/dz = rho(z,p) * g
with 'z' represening depth, 'p' being a phase pressure and 'rho' the
associate phase density. Finally, 'g' is the acceleration of
gravity. We assume that we can calculate phase densities, e.g.,
from table look-up. This assumption holds in the case of an ECLIPSE
input deck.
Using RK4 with constant step sizes is a limitation of this
implementation. This, basically, assumes that the phase densities
varies only smoothly with depth and pressure (at reservoir
conditions).
2014-01-14 13:37:28 -06:00
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/*
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Copyright 2014 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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#ifndef OPM_INITSTATEEQUIL_HEADER_INCLUDED
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#define OPM_INITSTATEEQUIL_HEADER_INCLUDED
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2014-02-24 09:09:04 -06:00
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#include <opm/core/simulator/EquilibrationHelpers.hpp>
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2014-01-23 03:16:49 -06:00
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#include <opm/core/io/eclipse/EclipseGridParser.hpp>
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Add basic equilibration facility
This commit adds a simple facility for calculating initial phase
pressures assuming stationary conditions, a known reference pressure
in the oil zone as well as the depth and capillary pressures at the
water-oil and gas-oil contacts.
Function 'Opm::equil::phasePressures()' uses a simple ODE/IVP-based
approach, solved using the traditional RK4 method with constant step
sizes, to derive the required pressure values. Specifically, we
solve the ODE
dp/dz = rho(z,p) * g
with 'z' represening depth, 'p' being a phase pressure and 'rho' the
associate phase density. Finally, 'g' is the acceleration of
gravity. We assume that we can calculate phase densities, e.g.,
from table look-up. This assumption holds in the case of an ECLIPSE
input deck.
Using RK4 with constant step sizes is a limitation of this
implementation. This, basically, assumes that the phase densities
varies only smoothly with depth and pressure (at reservoir
conditions).
2014-01-14 13:37:28 -06:00
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#include <opm/core/props/BlackoilPropertiesInterface.hpp>
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#include <opm/core/props/BlackoilPhases.hpp>
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2014-02-24 08:19:04 -06:00
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#include <opm/core/utility/RegionMapping.hpp>
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Add basic equilibration facility
This commit adds a simple facility for calculating initial phase
pressures assuming stationary conditions, a known reference pressure
in the oil zone as well as the depth and capillary pressures at the
water-oil and gas-oil contacts.
Function 'Opm::equil::phasePressures()' uses a simple ODE/IVP-based
approach, solved using the traditional RK4 method with constant step
sizes, to derive the required pressure values. Specifically, we
solve the ODE
dp/dz = rho(z,p) * g
with 'z' represening depth, 'p' being a phase pressure and 'rho' the
associate phase density. Finally, 'g' is the acceleration of
gravity. We assume that we can calculate phase densities, e.g.,
from table look-up. This assumption holds in the case of an ECLIPSE
input deck.
Using RK4 with constant step sizes is a limitation of this
implementation. This, basically, assumes that the phase densities
varies only smoothly with depth and pressure (at reservoir
conditions).
2014-01-14 13:37:28 -06:00
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#include <opm/core/utility/Units.hpp>
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#include <array>
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#include <cassert>
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2014-01-17 13:07:51 -06:00
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#include <utility>
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Add basic equilibration facility
This commit adds a simple facility for calculating initial phase
pressures assuming stationary conditions, a known reference pressure
in the oil zone as well as the depth and capillary pressures at the
water-oil and gas-oil contacts.
Function 'Opm::equil::phasePressures()' uses a simple ODE/IVP-based
approach, solved using the traditional RK4 method with constant step
sizes, to derive the required pressure values. Specifically, we
solve the ODE
dp/dz = rho(z,p) * g
with 'z' represening depth, 'p' being a phase pressure and 'rho' the
associate phase density. Finally, 'g' is the acceleration of
gravity. We assume that we can calculate phase densities, e.g.,
from table look-up. This assumption holds in the case of an ECLIPSE
input deck.
Using RK4 with constant step sizes is a limitation of this
implementation. This, basically, assumes that the phase densities
varies only smoothly with depth and pressure (at reservoir
conditions).
2014-01-14 13:37:28 -06:00
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#include <vector>
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2014-01-19 18:25:33 -06:00
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/**
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* \file
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* Facilities for an ECLIPSE-style equilibration-based
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* initialisation scheme (keyword 'EQUIL').
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*/
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Add basic equilibration facility
This commit adds a simple facility for calculating initial phase
pressures assuming stationary conditions, a known reference pressure
in the oil zone as well as the depth and capillary pressures at the
water-oil and gas-oil contacts.
Function 'Opm::equil::phasePressures()' uses a simple ODE/IVP-based
approach, solved using the traditional RK4 method with constant step
sizes, to derive the required pressure values. Specifically, we
solve the ODE
dp/dz = rho(z,p) * g
with 'z' represening depth, 'p' being a phase pressure and 'rho' the
associate phase density. Finally, 'g' is the acceleration of
gravity. We assume that we can calculate phase densities, e.g.,
from table look-up. This assumption holds in the case of an ECLIPSE
input deck.
Using RK4 with constant step sizes is a limitation of this
implementation. This, basically, assumes that the phase densities
varies only smoothly with depth and pressure (at reservoir
conditions).
2014-01-14 13:37:28 -06:00
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struct UnstructuredGrid;
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namespace Opm
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{
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/**
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* Types and routines that collectively implement a basic
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* ECLIPSE-style equilibration-based initialisation scheme.
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*
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* This namespace is intentionally nested to avoid name clashes
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* with other parts of OPM.
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*/
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namespace Equil {
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/**
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* Compute initial phase pressures by means of equilibration.
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*
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* This function uses the information contained in an
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* equilibration record (i.e., depths and pressurs) as well as
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* a density calculator and related data to vertically
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* integrate the phase pressure ODE
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* \f[
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* \frac{\mathrm{d}p_{\alpha}}{\mathrm{d}z} =
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* \rho_{\alpha}(z,p_{\alpha})\cdot g
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* \f]
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* in which \f$\rho_{\alpha}$ denotes the fluid density of
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* fluid phase \f$\alpha\f$, \f$p_{\alpha}\f$ is the
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* corresponding phase pressure, \f$z\f$ is the depth and
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* \f$g\f$ is the acceleration due to gravity (assumed
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* directed downwords, in the positive \f$z\f$ direction).
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*
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* \tparam Region Type of an equilibration region information
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* base. Typically an instance of the EquilReg
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* class template.
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*
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* \tparam CellRange Type of cell range that demarcates the
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* cells pertaining to the current
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* equilibration region. Must implement
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* methods begin() and end() to bound the range
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* as well as provide an inner type,
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* const_iterator, to traverse the range.
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*
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* \param[in] G Grid.
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* \param[in] reg Current equilibration region.
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* \param[in] cells Range that spans the cells of the current
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* equilibration region.
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* \param[in] grav Acceleration of gravity.
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*
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* \return Phase pressures, one vector for each active phase,
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* of pressure values in each cell in the current
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* equilibration region.
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*/
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template <class Region, class CellRange>
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Add basic equilibration facility
This commit adds a simple facility for calculating initial phase
pressures assuming stationary conditions, a known reference pressure
in the oil zone as well as the depth and capillary pressures at the
water-oil and gas-oil contacts.
Function 'Opm::equil::phasePressures()' uses a simple ODE/IVP-based
approach, solved using the traditional RK4 method with constant step
sizes, to derive the required pressure values. Specifically, we
solve the ODE
dp/dz = rho(z,p) * g
with 'z' represening depth, 'p' being a phase pressure and 'rho' the
associate phase density. Finally, 'g' is the acceleration of
gravity. We assume that we can calculate phase densities, e.g.,
from table look-up. This assumption holds in the case of an ECLIPSE
input deck.
Using RK4 with constant step sizes is a limitation of this
implementation. This, basically, assumes that the phase densities
varies only smoothly with depth and pressure (at reservoir
conditions).
2014-01-14 13:37:28 -06:00
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std::vector< std::vector<double> >
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phasePressures(const UnstructuredGrid& G,
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const Region& reg,
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const CellRange& cells,
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Add basic equilibration facility
This commit adds a simple facility for calculating initial phase
pressures assuming stationary conditions, a known reference pressure
in the oil zone as well as the depth and capillary pressures at the
water-oil and gas-oil contacts.
Function 'Opm::equil::phasePressures()' uses a simple ODE/IVP-based
approach, solved using the traditional RK4 method with constant step
sizes, to derive the required pressure values. Specifically, we
solve the ODE
dp/dz = rho(z,p) * g
with 'z' represening depth, 'p' being a phase pressure and 'rho' the
associate phase density. Finally, 'g' is the acceleration of
gravity. We assume that we can calculate phase densities, e.g.,
from table look-up. This assumption holds in the case of an ECLIPSE
input deck.
Using RK4 with constant step sizes is a limitation of this
implementation. This, basically, assumes that the phase densities
varies only smoothly with depth and pressure (at reservoir
conditions).
2014-01-14 13:37:28 -06:00
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const double grav = unit::gravity);
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2014-02-19 06:42:07 -06:00
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/**
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* Compute initial phase saturations by means of equilibration.
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*
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* \tparam Region Type of an equilibration region information
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* base. Typically an instance of the EquilReg
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* class template.
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*
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* \tparam CellRange Type of cell range that demarcates the
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* cells pertaining to the current
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* equilibration region. Must implement
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* methods begin() and end() to bound the range
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* as well as provide an inner type,
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* const_iterator, to traverse the range.
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*
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* \param[in] reg Current equilibration region.
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* \param[in] cells Range that spans the cells of the current
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* equilibration region.
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* \param[in] props Property object, needed for capillary functions.
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* \param[in] phase_pressures Phase pressures, one vector for each active phase,
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* of pressure values in each cell in the current
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* equilibration region.
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* \return Phase saturations, one vector for each phase, each containing
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* one saturation value per cell in the region.
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*/
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template <class Region, class CellRange>
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std::vector< std::vector<double> >
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phaseSaturations(const Region& reg,
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const CellRange& cells,
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const BlackoilPropertiesInterface& props,
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const std::vector< std::vector<double> >& phase_pressures)
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{
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const double z0 = reg.datum();
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const double zwoc = reg.zwoc ();
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const double zgoc = reg.zgoc ();
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if ((zgoc > z0) || (z0 > zwoc)) {
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OPM_THROW(std::runtime_error, "Cannot initialise: the datum depth must be in the oil zone.");
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}
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if (!reg.phaseUsage().phase_used[BlackoilPhases::Liquid]) {
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OPM_THROW(std::runtime_error, "Cannot initialise: not handling water-gas cases.");
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}
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std::vector< std::vector<double> > phase_saturations = phase_pressures; // Just to get the right size.
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double smin[BlackoilPhases::MaxNumPhases] = { 0.0 };
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double smax[BlackoilPhases::MaxNumPhases] = { 0.0 };
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const bool water = reg.phaseUsage().phase_used[BlackoilPhases::Aqua];
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const bool gas = reg.phaseUsage().phase_used[BlackoilPhases::Vapour];
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const int oilpos = reg.phaseUsage().phase_pos[BlackoilPhases::Liquid];
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const int waterpos = reg.phaseUsage().phase_pos[BlackoilPhases::Aqua];
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const int gaspos = reg.phaseUsage().phase_pos[BlackoilPhases::Vapour];
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std::vector<double>::size_type local_index = 0;
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for (typename CellRange::const_iterator ci = cells.begin(); ci != cells.end(); ++ci, ++local_index) {
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const int cell = *ci;
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props.satRange(1, &cell, smin, smax);
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// Find saturations from pressure differences by
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// inverting capillary pressure functions.
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double sw = 0.0;
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if (water) {
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const double pcov = phase_pressures[oilpos][local_index] - phase_pressures[waterpos][local_index];
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sw = satFromPc(props, waterpos, cell, pcov);
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phase_saturations[waterpos][local_index] = sw;
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}
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double sg = 0.0;
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if (gas) {
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// Note that pcog is defined to be (pg - po), not (po - pg).
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const double pcog = phase_pressures[gaspos][local_index] - phase_pressures[oilpos][local_index];
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const double increasing = true; // pcog(sg) expected to be increasing function
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sg = satFromPc(props, gaspos, cell, pcog, increasing);
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phase_saturations[gaspos][local_index] = sg;
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}
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if (gas && water && (sg + sw > 1.0)) {
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// Overlapping gas-oil and oil-water transition
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// zones can lead to unphysical saturations when
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// treated as above. Must recalculate using gas-water
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// capillary pressure.
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const double pcgw = phase_pressures[gaspos][local_index] - phase_pressures[waterpos][local_index];
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sw = satFromSumOfPcs(props, waterpos, gaspos, cell, pcgw);
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sg = 1.0 - sw;
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phase_saturations[waterpos][local_index] = sw;
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phase_saturations[gaspos][local_index] = sg;
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}
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phase_saturations[oilpos][local_index] = 1.0 - sw - sg;
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}
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return phase_saturations;
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}
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namespace DeckDependent {
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inline
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std::vector<EquilRecord>
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getEquil(const EclipseGridParser& deck)
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{
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if (deck.hasField("EQUIL")) {
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const EQUIL& eql = deck.getEQUIL();
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typedef std::vector<EquilLine>::size_type sz_t;
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const sz_t nrec = eql.equil.size();
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std::vector<EquilRecord> ret;
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ret.reserve(nrec);
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for (sz_t r = 0; r < nrec; ++r) {
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const EquilLine& rec = eql.equil[r];
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EquilRecord record =
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{
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{ rec.datum_depth_ ,
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rec.datum_depth_pressure_ }
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,
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{ rec.water_oil_contact_depth_ ,
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rec.oil_water_cap_pressure_ }
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,
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{ rec.gas_oil_contact_depth_ ,
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rec.gas_oil_cap_pressure_ }
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};
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ret.push_back(record);
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}
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return ret;
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}
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else {
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OPM_THROW(std::domain_error,
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"Deck does not provide equilibration data.");
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}
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}
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inline
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std::vector<int>
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equilnum(const EclipseGridParser& deck,
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const UnstructuredGrid& G )
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{
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std::vector<int> eqlnum;
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if (deck.hasField("EQLNUM")) {
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eqlnum = deck.getIntegerValue("EQLNUM");
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}
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else {
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// No explicit equilibration region.
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// All cells in region zero.
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eqlnum.assign(G.number_of_cells, 0);
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}
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return eqlnum;
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}
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template <class InputDeck>
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class PhasePressureSaturationComputer;
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template <>
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class PhasePressureSaturationComputer<Opm::EclipseGridParser> {
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2014-01-23 03:16:49 -06:00
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public:
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2014-02-21 01:52:25 -06:00
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PhasePressureSaturationComputer(const BlackoilPropertiesInterface& props,
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const EclipseGridParser& deck ,
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const UnstructuredGrid& G ,
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const double grav = unit::gravity)
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2014-01-23 03:16:49 -06:00
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: pp_(props.numPhases(),
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2014-02-21 01:52:25 -06:00
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std::vector<double>(G.number_of_cells)),
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sat_(props.numPhases(),
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2014-01-23 03:16:49 -06:00
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std::vector<double>(G.number_of_cells))
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{
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const std::vector<EquilRecord> rec = getEquil(deck);
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const RegionMapping<> eqlmap(equilnum(deck, G));
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2014-02-26 07:49:06 -06:00
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calcPressSat(eqlmap, rec, props, G, grav);
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2014-01-23 03:16:49 -06:00
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}
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typedef std::vector<double> PVal;
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typedef std::vector<PVal> PPress;
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const PPress& press() const { return pp_; }
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2014-02-21 01:52:25 -06:00
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const PPress& saturation() const { return sat_; }
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2014-01-23 03:16:49 -06:00
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private:
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typedef DensityCalculator<BlackoilPropertiesInterface> RhoCalc;
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typedef EquilReg<RhoCalc> EqReg;
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PPress pp_;
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2014-02-21 01:52:25 -06:00
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PPress sat_;
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2014-01-23 03:16:49 -06:00
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template <class RMap>
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void
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2014-02-26 07:49:06 -06:00
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calcPressSat(const RMap& reg ,
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const std::vector< EquilRecord >& rec ,
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const Opm::BlackoilPropertiesInterface& props,
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const UnstructuredGrid& G ,
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const double grav)
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2014-02-21 01:52:25 -06:00
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{
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2014-02-24 08:55:14 -06:00
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typedef Miscibility::NoMixing NoMix;
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for (typename RMap::RegionId
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r = 0, nr = reg.numRegions();
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r < nr; ++r)
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{
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const typename RMap::CellRange cells = reg.cells(r);
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const int repcell = *cells.begin();
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const RhoCalc calc(props, repcell);
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2014-02-26 07:47:24 -06:00
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const EqReg eqreg(rec[r], calc,
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std::make_shared<NoMix>(), std::make_shared<NoMix>(),
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2014-02-21 01:52:25 -06:00
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props.phaseUsage());
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const PPress press = phasePressures(G, eqreg, cells, grav);
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const PPress sat = phaseSaturations(eqreg, cells, props, press);
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for (int p = 0, np = props.numPhases(); p < np; ++p) {
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PVal& d = pp_[p];
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PVal::const_iterator s = press[p].begin();
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for (typename RMap::CellRange::const_iterator
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c = cells.begin(),
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e = cells.end();
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c != e; ++c, ++s)
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{
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d[*c] = *s;
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}
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}
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for (int p = 0, np = props.numPhases(); p < np; ++p) {
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PVal& d = sat_[p];
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PVal::const_iterator s = sat[p].begin();
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for (typename RMap::CellRange::const_iterator
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c = cells.begin(),
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e = cells.end();
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c != e; ++c, ++s)
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{
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d[*c] = *s;
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}
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}
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}
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}
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2014-01-23 03:16:49 -06:00
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};
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} // namespace DeckDependent
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2014-02-24 08:55:14 -06:00
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} // namespace Equil
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Add basic equilibration facility
This commit adds a simple facility for calculating initial phase
pressures assuming stationary conditions, a known reference pressure
in the oil zone as well as the depth and capillary pressures at the
water-oil and gas-oil contacts.
Function 'Opm::equil::phasePressures()' uses a simple ODE/IVP-based
approach, solved using the traditional RK4 method with constant step
sizes, to derive the required pressure values. Specifically, we
solve the ODE
dp/dz = rho(z,p) * g
with 'z' represening depth, 'p' being a phase pressure and 'rho' the
associate phase density. Finally, 'g' is the acceleration of
gravity. We assume that we can calculate phase densities, e.g.,
from table look-up. This assumption holds in the case of an ECLIPSE
input deck.
Using RK4 with constant step sizes is a limitation of this
implementation. This, basically, assumes that the phase densities
varies only smoothly with depth and pressure (at reservoir
conditions).
2014-01-14 13:37:28 -06:00
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} // namespace Opm
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#include <opm/core/simulator/initStateEquil_impl.hpp>
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#endif // OPM_INITSTATEEQUIL_HEADER_INCLUDED
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