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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2014-01-23 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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#include <opm/core/utility/linearInterpolation.hpp>
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2014-02-19 06:42:07 -06:00
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#include <opm/core/utility/RootFinders.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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2014-01-19 18:25:33 -06:00
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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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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 equil {
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template <class Props>
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class DensityCalculator;
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2014-01-19 18:25:33 -06:00
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/**
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* Facility for calculating phase densities based on the
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* BlackoilPropertiesInterface.
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*
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* Implements the crucial <CODE>operator()(p,svol)</CODE>
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* function that is expected by class EquilReg.
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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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template <>
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class DensityCalculator< BlackoilPropertiesInterface > {
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public:
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2014-01-19 18:25:33 -06:00
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/**
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* Constructor.
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*
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* \param[in] props Implementation of the
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* BlackoilPropertiesInterface.
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*
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* \param[in] c Single cell used as a representative cell
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* in a PVT region.
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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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DensityCalculator(const BlackoilPropertiesInterface& props,
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const int c)
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: props_(props)
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, c_(1, c)
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{
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}
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2014-01-19 18:25:33 -06:00
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/**
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* Compute phase densities of all phases at phase point
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* given by (pressure, surface volume) tuple.
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*
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* \param[in] p Fluid pressure.
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*
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* \param[in] z Surface volumes of all phases.
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*
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* \return Phase densities at phase point.
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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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std::vector<double>
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operator()(const double p,
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const std::vector<double>& z) const
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{
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const int np = props_.numPhases();
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std::vector<double> A(np * np, 0);
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assert (z.size() == std::vector<double>::size_type(np));
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double* dAdp = 0;
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props_.matrix(1, &p, &z[0], &c_[0], &A[0], dAdp);
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std::vector<double> rho(np, 0.0);
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props_.density(1, &A[0], &rho[0]);
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return rho;
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}
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private:
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const BlackoilPropertiesInterface& props_;
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const std::vector<int> c_;
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};
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2014-01-19 18:25:33 -06:00
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/**
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* Types and routines relating to phase mixing in
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* equilibration calculations.
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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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namespace miscibility {
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2014-01-19 18:25:33 -06:00
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/**
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* Type that implements "no phase mixing" policy.
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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 NoMixing {
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2014-01-19 18:25:33 -06:00
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/**
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* Function call.
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*
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* \param[in] depth Depth at which to calculate RS
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* value.
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*
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* \param[in] press Pressure at which to calculate RS
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* value.
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*
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* \return Dissolved gas-oil ratio (RS) at depth @c
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* depth and pressure @c press. In "no mixing
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* policy", this is identically zero.
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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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double
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operator()(const double /* depth */,
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const double /* press */) const
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{
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return 0.0;
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}
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};
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2014-01-19 18:25:33 -06:00
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/**
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* Type that implements "dissolved gas-oil ratio"
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* tabulated as a function of depth policy. Data
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* typically taken from keyword 'RSVD'.
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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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class RsVD {
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public:
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2014-01-19 18:25:33 -06:00
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/**
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* Constructor.
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*
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* \param[in] depth Depth nodes.
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* \param[in] rs Dissolved gas-oil ratio at @c depth.
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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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RsVD(const std::vector<double>& depth,
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const std::vector<double>& rs)
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: depth_(depth)
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, rs_(rs)
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{
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}
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2014-01-19 18:25:33 -06:00
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/**
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* Function call.
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*
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* \param[in] depth Depth at which to calculate RS
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* value.
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*
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* \param[in] press Pressure at which to calculate RS
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* value.
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*
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* \return Dissolved gas-oil ratio (RS) at depth @c
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* depth and pressure @c press.
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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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double
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operator()(const double depth,
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const double /* press */) const
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{
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return linearInterpolation(depth_, rs_, depth);
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}
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private:
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2014-01-19 18:25:33 -06:00
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std::vector<double> depth_; /**< Depth nodes */
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std::vector<double> rs_; /**< Dissolved gas-oil ratio */
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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
|
|
|
};
|
|
|
|
} // namespace miscibility
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Forward and reverse mappings between cells and
|
|
|
|
* regions/partitions (e.g., the ECLIPSE-style 'SATNUM',
|
|
|
|
* 'PVTNUM', or 'EQUILNUM' arrays).
|
|
|
|
*
|
|
|
|
* \tparam Region Type of a forward region mapping. Expected
|
|
|
|
* to provide indexed access through
|
|
|
|
* operator[]() as well as inner types
|
|
|
|
* 'value_type', 'size_type', and
|
|
|
|
* 'const_iterator'.
|
|
|
|
*/
|
2014-01-17 13:07:51 -06:00
|
|
|
template < class Region = std::vector<int> >
|
|
|
|
class RegionMapping {
|
|
|
|
public:
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Constructor.
|
|
|
|
*
|
|
|
|
* \param[in] reg Forward region mapping, restricted to
|
|
|
|
* active cells only.
|
|
|
|
*/
|
2014-01-17 13:07:51 -06:00
|
|
|
explicit
|
|
|
|
RegionMapping(const Region& reg)
|
|
|
|
: reg_(reg)
|
|
|
|
{
|
|
|
|
rev_.init(reg_);
|
|
|
|
}
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Type of forward (cell-to-region) mapping result.
|
|
|
|
* Expected to be an integer.
|
|
|
|
*/
|
|
|
|
typedef typename Region::value_type RegionId;
|
|
|
|
|
|
|
|
/**
|
|
|
|
* Type of reverse (region-to-cell) mapping (element)
|
|
|
|
* result.
|
|
|
|
*/
|
|
|
|
typedef typename Region::size_type CellId;
|
|
|
|
|
|
|
|
/**
|
|
|
|
* Type of reverse region-to-cell range bounds and
|
|
|
|
* iterators.
|
|
|
|
*/
|
2014-01-17 13:07:51 -06:00
|
|
|
typedef typename std::vector<CellId>::const_iterator CellIter;
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Range of cells. Result from reverse (region-to-cell)
|
|
|
|
* mapping.
|
|
|
|
*/
|
2014-01-17 13:07:51 -06:00
|
|
|
class CellRange {
|
|
|
|
public:
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Constructor.
|
|
|
|
*
|
|
|
|
* \param[in] b Beginning of range.
|
|
|
|
* \param[in] e One past end of range.
|
|
|
|
*/
|
2014-01-17 13:07:51 -06:00
|
|
|
CellRange(const CellIter b,
|
|
|
|
const CellIter e)
|
|
|
|
: b_(b), e_(e)
|
|
|
|
{}
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Read-only iterator on cell ranges.
|
|
|
|
*/
|
2014-01-17 13:07:51 -06:00
|
|
|
typedef CellIter const_iterator;
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Beginning of cell range.
|
|
|
|
*/
|
|
|
|
const_iterator begin() const { return b_; }
|
|
|
|
|
|
|
|
/**
|
|
|
|
* One past end of cell range.
|
|
|
|
*/
|
|
|
|
const_iterator end() const { return e_; }
|
2014-01-17 13:07:51 -06:00
|
|
|
|
|
|
|
private:
|
2014-01-19 18:25:33 -06:00
|
|
|
const_iterator b_;
|
|
|
|
const_iterator e_;
|
2014-01-17 13:07:51 -06:00
|
|
|
};
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Number of declared regions in cell-to-region mapping.
|
|
|
|
*/
|
2014-01-17 13:07:51 -06:00
|
|
|
RegionId
|
|
|
|
numRegions() const { return RegionId(rev_.p.size()) - 1; }
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Compute region number of given active cell.
|
|
|
|
*
|
|
|
|
* \param[in] c Active cell
|
|
|
|
* \return Region to which @c c belongs.
|
|
|
|
*/
|
2014-01-17 13:07:51 -06:00
|
|
|
RegionId
|
|
|
|
region(const CellId c) const { return reg_[c]; }
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Extract active cells in particular region.
|
|
|
|
*
|
|
|
|
* \param[in] r Region number
|
|
|
|
* \returns Range of active cells in region @c r.
|
|
|
|
*/
|
2014-01-17 13:07:51 -06:00
|
|
|
CellRange
|
|
|
|
cells(const RegionId r) const {
|
|
|
|
const RegionId i = r - rev_.low;
|
|
|
|
return CellRange(rev_.c.begin() + rev_.p[i + 0],
|
|
|
|
rev_.c.begin() + rev_.p[i + 1]);
|
|
|
|
}
|
|
|
|
|
|
|
|
private:
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Copy of forward region mapping (cell-to-region).
|
|
|
|
*/
|
2014-01-17 13:07:51 -06:00
|
|
|
Region reg_;
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Reverse mapping (region-to-cell).
|
|
|
|
*/
|
2014-01-17 13:07:51 -06:00
|
|
|
struct {
|
|
|
|
typedef typename std::vector<CellId>::size_type Pos;
|
2014-01-19 18:25:33 -06:00
|
|
|
std::vector<Pos> p; /**< Region start pointers */
|
|
|
|
std::vector<CellId> c; /**< Region cells */
|
|
|
|
RegionId low; /**< Smallest region number */
|
|
|
|
|
|
|
|
/**
|
|
|
|
* Compute reverse mapping. Standard linear insertion
|
|
|
|
* sort algorithm.
|
|
|
|
*/
|
2014-01-17 13:07:51 -06:00
|
|
|
void
|
|
|
|
init(const Region& reg)
|
|
|
|
{
|
|
|
|
typedef typename Region::const_iterator CI;
|
|
|
|
const std::pair<CI,CI>
|
|
|
|
m = std::minmax_element(reg.begin(), reg.end());
|
|
|
|
|
|
|
|
low = *m.first;
|
|
|
|
|
|
|
|
const typename Region::size_type
|
|
|
|
n = *m.second - low + 1;
|
|
|
|
|
|
|
|
p.resize(n + 1); std::fill(p.begin(), p.end(), Pos(0));
|
|
|
|
for (CellId i = 0, nc = reg.size(); i < nc; ++i) {
|
|
|
|
p[ reg[i] - low + 1 ] += 1;
|
|
|
|
}
|
|
|
|
|
|
|
|
for (typename std::vector<Pos>::size_type
|
|
|
|
i = 1, sz = p.size(); i < sz; ++i) {
|
|
|
|
p[0] += p[i];
|
|
|
|
p[i] = p[0] - p[i];
|
|
|
|
}
|
|
|
|
|
|
|
|
assert (p[0] ==
|
|
|
|
static_cast<typename Region::size_type>(reg.size()));
|
|
|
|
|
|
|
|
c.resize(reg.size());
|
|
|
|
for (CellId i = 0, nc = reg.size(); i < nc; ++i) {
|
|
|
|
c[ p[ reg[i] - low + 1 ] ++ ] = i;
|
|
|
|
}
|
|
|
|
|
|
|
|
p[0] = 0;
|
|
|
|
}
|
2014-01-19 18:25:33 -06:00
|
|
|
} rev_; /**< Reverse mapping instance */
|
2014-01-17 13:07:51 -06:00
|
|
|
};
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Equilibration record.
|
|
|
|
*
|
|
|
|
* Layout and contents inspired by first six items of
|
|
|
|
* ECLIPSE's 'EQUIL' records. This is the minimum amount of
|
|
|
|
* input data needed to define phase pressures in an
|
|
|
|
* equilibration region.
|
|
|
|
*
|
|
|
|
* Data consists of three pairs of depth and pressure values:
|
|
|
|
* 1. main
|
|
|
|
* - @c depth Main datum depth.
|
|
|
|
* - @c press Pressure at datum depth.
|
|
|
|
*
|
|
|
|
* 2. woc
|
|
|
|
* - @c depth Depth of water-oil contact
|
|
|
|
* - @c press water-oil capillary pressure at water-oil contact.
|
|
|
|
* Capillary pressure defined as "P_oil - P_water".
|
|
|
|
*
|
|
|
|
* 3. goc
|
|
|
|
* - @c depth Depth of gas-oil contact
|
|
|
|
* - @c press Gas-oil capillary pressure at gas-oil contact.
|
|
|
|
* Capillary pressure defined as "P_gas - P_oil".
|
|
|
|
*/
|
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
|
|
|
struct EquilRecord {
|
|
|
|
struct {
|
|
|
|
double depth;
|
|
|
|
double press;
|
|
|
|
} main, woc, goc;
|
|
|
|
};
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Aggregate information base of an equilibration region.
|
|
|
|
*
|
|
|
|
* Provides inquiry methods for retrieving depths of contacs
|
|
|
|
* and pressure values as well as a means of calculating fluid
|
|
|
|
* densities, dissolved gas-oil ratio and vapourised oil-gas
|
|
|
|
* ratios.
|
|
|
|
*
|
|
|
|
* \tparam DensCalc Type that provides access to a phase
|
|
|
|
* density calculation facility. Must implement an operator()
|
|
|
|
* declared as
|
|
|
|
* <CODE>
|
|
|
|
* std::vector<double>
|
|
|
|
* operator()(const double press,
|
|
|
|
* const std::vector<double>& svol )
|
|
|
|
* </CODE>
|
|
|
|
* that calculates the phase densities of all phases in @c
|
|
|
|
* svol at fluid pressure @c press.
|
|
|
|
*
|
|
|
|
* \tparam RS Type that provides access to a calculator for
|
|
|
|
* (initial) dissolved gas-oil ratios as a function of depth
|
|
|
|
* and (oil) pressure. Must implement an operator() declared
|
|
|
|
* as
|
|
|
|
* <CODE>
|
|
|
|
* double
|
|
|
|
* operator()(const double depth,
|
|
|
|
* const double press)
|
|
|
|
* </CODE>
|
|
|
|
* that calculates the dissolved gas-oil ratio at depth @c
|
|
|
|
* depth and (oil) pressure @c press.
|
|
|
|
*
|
|
|
|
* \tparam RV Type that provides access to a calculator for
|
|
|
|
* (initial) vapourised oil-gas ratios as a function of depth
|
|
|
|
* and (gas) pressure. Must implement an operator() declared
|
|
|
|
* as
|
|
|
|
* <CODE>
|
|
|
|
* double
|
|
|
|
* operator()(const double depth,
|
|
|
|
* const double press)
|
|
|
|
* </CODE>
|
|
|
|
* that calculates the vapourised oil-gas ratio at depth @c
|
|
|
|
* depth and (gas) pressure @c press.
|
|
|
|
*/
|
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
|
|
|
template <class DensCalc,
|
|
|
|
class RS = miscibility::NoMixing,
|
|
|
|
class RV = miscibility::NoMixing>
|
|
|
|
class EquilReg {
|
|
|
|
public:
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Constructor.
|
|
|
|
*
|
|
|
|
* \param[in] rec Equilibration data of current region.
|
|
|
|
* \param[in] density Density calculator of current region.
|
|
|
|
* \param[in] rs Calculator of dissolved gas-oil ratio.
|
|
|
|
* \param[in] rv Calculator of vapourised oil-gas ratio.
|
|
|
|
* \param[in] pu Summary of current active phases.
|
|
|
|
*/
|
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
|
|
|
EquilReg(const EquilRecord& rec,
|
|
|
|
const DensCalc& density,
|
|
|
|
const RS& rs,
|
|
|
|
const RV& rv,
|
|
|
|
const PhaseUsage& pu)
|
|
|
|
: rec_ (rec)
|
|
|
|
, density_(density)
|
|
|
|
, rs_ (rs)
|
|
|
|
, rv_ (rv)
|
|
|
|
, pu_ (pu)
|
|
|
|
{
|
|
|
|
}
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Type of density calculator.
|
|
|
|
*/
|
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
|
|
|
typedef DensCalc CalcDensity;
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Type of dissolved gas-oil ratio calculator.
|
|
|
|
*/
|
|
|
|
typedef RS CalcDissolution;
|
|
|
|
|
|
|
|
/**
|
|
|
|
* Type of vapourised oil-gas ratio calculator.
|
|
|
|
*/
|
|
|
|
typedef RV CalcEvaporation;
|
|
|
|
|
|
|
|
/**
|
|
|
|
* Datum depth in current region
|
|
|
|
*/
|
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
|
|
|
double datum() const { return this->rec_.main.depth; }
|
2014-01-19 18:25:33 -06:00
|
|
|
|
|
|
|
/**
|
|
|
|
* Pressure at datum depth in current region.
|
|
|
|
*/
|
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
|
|
|
double pressure() const { return this->rec_.main.press; }
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Depth of water-oil contact.
|
|
|
|
*/
|
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
|
|
|
double zwoc() const { return this->rec_.woc .depth; }
|
2014-01-19 18:25:33 -06:00
|
|
|
|
|
|
|
/**
|
|
|
|
* water-oil capillary pressure at water-oil contact.
|
|
|
|
*
|
|
|
|
* \return P_o - P_w at WOC.
|
|
|
|
*/
|
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
|
|
|
double pcow_woc() const { return this->rec_.woc .press; }
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Depth of gas-oil contact.
|
|
|
|
*/
|
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
|
|
|
double zgoc() const { return this->rec_.goc .depth; }
|
2014-01-19 18:25:33 -06:00
|
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|
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|
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|
/**
|
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|
* Gas-oil capillary pressure at gas-oil contact.
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|
*
|
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|
* \return P_g - P_o at GOC.
|
|
|
|
*/
|
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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double pcgo_goc() const { return this->rec_.goc .press; }
|
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|
2014-01-19 18:25:33 -06:00
|
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|
/**
|
|
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|
* Retrieve phase density calculator of current region.
|
|
|
|
*/
|
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
|
|
|
const CalcDensity&
|
|
|
|
densityCalculator() const { return this->density_; }
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Retrieve dissolved gas-oil ratio calculator of current
|
|
|
|
* region.
|
|
|
|
*/
|
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
|
|
|
const CalcDissolution&
|
|
|
|
dissolutionCalculator() const { return this->rs_; }
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Retrieve vapourised oil-gas ratio calculator of current
|
|
|
|
* region.
|
|
|
|
*/
|
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
|
|
|
const CalcEvaporation&
|
|
|
|
evaporationCalculator() const { return this->rv_; }
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Retrieve active fluid phase summary.
|
|
|
|
*/
|
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
|
|
|
const PhaseUsage&
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|
|
|
phaseUsage() const { return this->pu_; }
|
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|
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|
|
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|
private:
|
2014-01-19 18:25:33 -06:00
|
|
|
EquilRecord rec_; /**< Equilibration data */
|
|
|
|
DensCalc density_; /**< Density calculator */
|
|
|
|
RS rs_; /**< RS calculator */
|
|
|
|
RV rv_; /**< RV calculator */
|
|
|
|
PhaseUsage pu_; /**< Active phase summary */
|
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
|
|
|
};
|
|
|
|
|
2014-02-19 06:42:07 -06:00
|
|
|
|
|
|
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|
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|
/// Functor for inverting capillary pressure function.
|
|
|
|
/// Function represented is
|
|
|
|
/// f(s) = pc(s) - target_pc
|
|
|
|
struct PcEq
|
|
|
|
{
|
|
|
|
PcEq(const BlackoilPropertiesInterface& props,
|
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|
|
const int phase,
|
|
|
|
const int cell,
|
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|
|
const double target_pc)
|
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|
|
: props_(props),
|
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|
|
phase_(phase),
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|
cell_(cell),
|
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|
target_pc_(target_pc)
|
|
|
|
{
|
|
|
|
std::fill(s_, s_ + BlackoilPhases::MaxNumPhases, 0.0);
|
|
|
|
std::fill(pc_, pc_ + BlackoilPhases::MaxNumPhases, 0.0);
|
|
|
|
}
|
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|
|
double operator()(double s) const
|
|
|
|
{
|
|
|
|
s_[phase_] = s;
|
|
|
|
props_.capPress(1, s_, &cell_, pc_, 0);
|
|
|
|
return pc_[phase_] - target_pc_;
|
|
|
|
}
|
|
|
|
private:
|
|
|
|
const BlackoilPropertiesInterface& props_;
|
|
|
|
const int phase_;
|
|
|
|
const int cell_;
|
|
|
|
const int target_pc_;
|
|
|
|
mutable double s_[BlackoilPhases::MaxNumPhases];
|
|
|
|
mutable double pc_[BlackoilPhases::MaxNumPhases];
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/// Compute saturation of some phase corresponding to a given
|
|
|
|
/// capillary pressure.
|
|
|
|
inline double satFromPc(const BlackoilPropertiesInterface& props,
|
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|
|
const int phase,
|
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|
|
const int cell,
|
|
|
|
const double target_pc,
|
|
|
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const bool increasing = false)
|
|
|
|
{
|
|
|
|
// Find minimum and maximum saturations.
|
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double sminarr[BlackoilPhases::MaxNumPhases];
|
|
|
|
double smaxarr[BlackoilPhases::MaxNumPhases];
|
|
|
|
props.satRange(1, &cell, sminarr, smaxarr);
|
|
|
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const double s0 = increasing ? smaxarr[phase] : sminarr[phase];
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|
const double s1 = increasing ? sminarr[phase] : smaxarr[phase];
|
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|
|
|
|
|
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// Create the equation f(s) = pc(s) - target_pc
|
|
|
|
const PcEq f(props, phase, cell, target_pc);
|
|
|
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const double f0 = f(s0);
|
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const double f1 = f(s1);
|
|
|
|
if (f0 <= 0.0) {
|
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|
|
return s0;
|
|
|
|
} else if (f1 > 0.0) {
|
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return s1;
|
|
|
|
} else {
|
|
|
|
const int max_iter = 30;
|
|
|
|
const double tol = 1e-6;
|
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|
|
int iter_used = -1;
|
|
|
|
typedef RegulaFalsi<ThrowOnError> ScalarSolver;
|
|
|
|
const double sol = ScalarSolver::solve(f, std::min(s0, s1), std::max(s0, s1), max_iter, tol, iter_used);
|
|
|
|
return sol;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/// Functor for inverting a sum of capillary pressure functions.
|
|
|
|
/// Function represented is
|
|
|
|
/// f(s) = pc1(s) + pc2(1 - s) - target_pc
|
|
|
|
struct PcEqSum
|
|
|
|
{
|
|
|
|
PcEqSum(const BlackoilPropertiesInterface& props,
|
|
|
|
const int phase1,
|
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|
|
const int phase2,
|
|
|
|
const int cell,
|
|
|
|
const double target_pc)
|
|
|
|
: props_(props),
|
|
|
|
phase1_(phase1),
|
|
|
|
phase2_(phase2),
|
|
|
|
cell_(cell),
|
|
|
|
target_pc_(target_pc)
|
|
|
|
{
|
|
|
|
std::fill(s_, s_ + BlackoilPhases::MaxNumPhases, 0.0);
|
|
|
|
std::fill(pc_, pc_ + BlackoilPhases::MaxNumPhases, 0.0);
|
|
|
|
}
|
|
|
|
double operator()(double s) const
|
|
|
|
{
|
|
|
|
s_[phase1_] = s;
|
|
|
|
s_[phase2_] = 1.0 - s;
|
|
|
|
props_.capPress(1, s_, &cell_, pc_, 0);
|
|
|
|
return pc_[phase1_] + pc_[phase2_] - target_pc_;
|
|
|
|
}
|
|
|
|
private:
|
|
|
|
const BlackoilPropertiesInterface& props_;
|
|
|
|
const int phase1_;
|
|
|
|
const int phase2_;
|
|
|
|
const int cell_;
|
|
|
|
const int target_pc_;
|
|
|
|
mutable double s_[BlackoilPhases::MaxNumPhases];
|
|
|
|
mutable double pc_[BlackoilPhases::MaxNumPhases];
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/// Compute saturation of some phase corresponding to a given
|
|
|
|
/// capillary pressure, where the capillary pressure function
|
|
|
|
/// is given as a sum of two other functions.
|
|
|
|
inline double satFromSumOfPcs(const BlackoilPropertiesInterface& props,
|
|
|
|
const int phase1,
|
|
|
|
const int phase2,
|
|
|
|
const int cell,
|
|
|
|
const double target_pc)
|
|
|
|
{
|
|
|
|
// Find minimum and maximum saturations.
|
|
|
|
double sminarr[BlackoilPhases::MaxNumPhases];
|
|
|
|
double smaxarr[BlackoilPhases::MaxNumPhases];
|
|
|
|
props.satRange(1, &cell, sminarr, smaxarr);
|
|
|
|
const double smin = sminarr[phase1];
|
|
|
|
const double smax = smaxarr[phase1];
|
|
|
|
|
|
|
|
// Create the equation f(s) = pc1(s) + pc2(1-s) - target_pc
|
|
|
|
const PcEqSum f(props, phase1, phase2, cell, target_pc);
|
|
|
|
const int max_iter = 30;
|
|
|
|
const double tol = 1e-6;
|
|
|
|
int iter_used = -1;
|
|
|
|
typedef RegulaFalsi<WarnAndContinueOnError> ScalarSolver;
|
|
|
|
const double sol = ScalarSolver::solve(f, smin, smax, max_iter, tol, iter_used);
|
|
|
|
return sol;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
2014-01-19 18:25:33 -06:00
|
|
|
/**
|
|
|
|
* Compute initial phase pressures by means of equilibration.
|
|
|
|
*
|
|
|
|
* This function uses the information contained in an
|
|
|
|
* equilibration record (i.e., depths and pressurs) as well as
|
|
|
|
* a density calculator and related data to vertically
|
|
|
|
* integrate the phase pressure ODE
|
|
|
|
* \f[
|
|
|
|
* \frac{\mathrm{d}p_{\alpha}}{\mathrm{d}z} =
|
|
|
|
* \rho_{\alpha}(z,p_{\alpha})\cdot g
|
|
|
|
* \f]
|
|
|
|
* in which \f$\rho_{\alpha}$ denotes the fluid density of
|
|
|
|
* fluid phase \f$\alpha\f$, \f$p_{\alpha}\f$ is the
|
|
|
|
* corresponding phase pressure, \f$z\f$ is the depth and
|
|
|
|
* \f$g\f$ is the acceleration due to gravity (assumed
|
|
|
|
* directed downwords, in the positive \f$z\f$ direction).
|
|
|
|
*
|
|
|
|
* \tparam Region Type of an equilibration region information
|
|
|
|
* base. Typically an instance of the EquilReg
|
|
|
|
* class template.
|
|
|
|
*
|
|
|
|
* \tparam CellRange Type of cell range that demarcates the
|
|
|
|
* cells pertaining to the current
|
2014-01-20 03:33:42 -06:00
|
|
|
* equilibration region. Must implement
|
|
|
|
* methods begin() and end() to bound the range
|
|
|
|
* as well as provide an inner type,
|
|
|
|
* const_iterator, to traverse the range.
|
2014-01-19 18:25:33 -06:00
|
|
|
*
|
|
|
|
* \param[in] G Grid.
|
|
|
|
* \param[in] reg Current equilibration region.
|
|
|
|
* \param[in] cells Range that spans the cells of the current
|
|
|
|
* equilibration region.
|
|
|
|
* \param[in] grav Acceleration of gravity.
|
|
|
|
*
|
|
|
|
* \return Phase pressures, one vector for each active phase,
|
|
|
|
* of pressure values in each cell in the current
|
|
|
|
* equilibration region.
|
|
|
|
*/
|
2014-01-17 10:43:27 -06:00
|
|
|
template <class Region, class CellRange>
|
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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2014-01-17 10:43:27 -06:00
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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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2014-01-23 03:16:49 -06:00
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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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const int oilpos = reg.phaseUsage().phase_pos[BlackoilPhases::Liquid];
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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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// 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 (reg.phaseUsage().phase_used[BlackoilPhases::Aqua]) {
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const int waterpos = reg.phaseUsage().phase_pos[BlackoilPhases::Aqua];
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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 (reg.phaseUsage().phase_used[BlackoilPhases::Vapour]) {
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const int gaspos = reg.phaseUsage().phase_pos[BlackoilPhases::Vapour];
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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 (sg > 0.0 && sw > 0.0) {
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// Overlapping gas-oil and oil-water transition
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// zones. Must recalculate using gas-water
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// capillary pressure.
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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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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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}
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2014-01-23 03:16:49 -06:00
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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 PhasePressureComputer;
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template <>
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class PhasePressureComputer<Opm::EclipseGridParser> {
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public:
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PhasePressureComputer(const BlackoilPropertiesInterface& props,
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const EclipseGridParser& deck ,
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2014-02-19 06:38:21 -06:00
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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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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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2014-02-19 06:38:21 -06:00
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calcII(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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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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template <class RMap>
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void
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calcII(const RMap& reg ,
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const std::vector< EquilRecord >& rec ,
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const Opm::BlackoilPropertiesInterface& props,
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2014-02-19 06:38:21 -06:00
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const UnstructuredGrid& G ,
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const double grav)
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2014-01-23 03:16:49 -06:00
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{
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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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const EqReg eqreg(rec[r], calc, NoMix(), NoMix(),
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props.phaseUsage());
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2014-02-19 06:38:21 -06:00
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const PPress& res = phasePressures(G, eqreg, cells, grav);
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2014-01-23 03:16:49 -06:00
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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 = res[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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};
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} // namespace DeckDependent
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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 equil
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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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