Initial version of segmented well model.

This computes pressure differences with respect to the bottom-hole pressure
for each well perforation, based on the well flows. It is explicit and not
implicit, using the previous time step's flow rates to calculate the necessary
densities.
This commit is contained in:
Atgeirr Flø Rasmussen 2014-01-22 12:53:05 +01:00
parent 69b74fb580
commit ad81cc6a37
3 changed files with 219 additions and 0 deletions

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@ -30,6 +30,7 @@ list (APPEND MAIN_SOURCE_FILES
opm/autodiff/BlackoilPropsAdInterface.cpp
opm/autodiff/FullyImplicitBlackoilSolver.cpp
opm/autodiff/ImpesTPFAAD.cpp
opm/autodiff/SegmentedWellModel.cpp
opm/autodiff/SimulatorCompressibleAd.cpp
opm/autodiff/SimulatorFullyImplicitBlackoil.cpp
opm/autodiff/SimulatorIncompTwophaseAd.cpp
@ -82,6 +83,7 @@ list (APPEND PUBLIC_HEADER_FILES
opm/autodiff/GeoProps.hpp
opm/autodiff/ImpesTPFAAD.hpp
opm/autodiff/FullyImplicitBlackoilSolver.hpp
opm/autodiff/SegmentedWellModel.hpp
opm/autodiff/SimulatorCompressibleAd.hpp
opm/autodiff/SimulatorFullyImplicitBlackoil.hpp
opm/autodiff/SimulatorIncompTwophaseAd.hpp

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@ -0,0 +1,162 @@
/*
Copyright 2014 SINTEF ICT, Applied Mathematics.
This file is part of the Open Porous Media project (OPM).
OPM is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
OPM is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with OPM. If not, see <http://www.gnu.org/licenses/>.
*/
#include <opm/autodiff/SegmentedWellModel.hpp>
#include <opm/core/wells.h>
#include <opm/core/simulator/WellState.hpp>
#include <opm/core/utility/ErrorMacros.hpp>
#include <opm/core/props/BlackoilPhases.hpp>
#include <numeric>
#include <cmath>
std::vector<double> Opm::SegmentedWellModel::computeConnectionPressureDelta(const Wells& wells,
const WellState& wstate,
const PhaseUsage& phase_usage,
const std::vector<double>& b_perf,
const std::vector<double>& rsmax_perf,
const std::vector<double>& rvmax_perf,
const std::vector<double>& z_perf,
const std::vector<double>& surf_dens,
const double gravity)
{
// Verify that we have consistent input.
const int np = wells.number_of_phases;
const int nw = wells.number_of_wells;
const int nperf = wells.well_connpos[nw];
if (wells.number_of_phases != phase_usage.num_phases) {
OPM_THROW(std::logic_error, "Inconsistent input: wells vs. phase_usage.");
}
if (surf_dens.size() != size_t(wells.number_of_phases)) {
OPM_THROW(std::logic_error, "Inconsistent input: surf_dens vs. phase_usage.");
}
if (nperf*np != int(wstate.perfRates().size())) {
OPM_THROW(std::logic_error, "Inconsistent input: wells vs. wstate.");
}
if (nperf*np != int(b_perf.size())) {
OPM_THROW(std::logic_error, "Inconsistent input: wells vs. b_perf.");
}
if (nperf != int(z_perf.size())) {
OPM_THROW(std::logic_error, "Inconsistent input: wells vs. z_perf.");
}
if ((!rsmax_perf.empty()) || (!rvmax_perf.empty())) {
// Need both oil and gas phases.
if (!phase_usage.phase_used[BlackoilPhases::Liquid]) {
OPM_THROW(std::logic_error, "Oil phase inactive, but non-empty rsmax_perf or rvmax_perf.");
}
if (!phase_usage.phase_used[BlackoilPhases::Vapour]) {
OPM_THROW(std::logic_error, "Gas phase inactive, but non-empty rsmax_perf or rvmax_perf.");
}
}
// Algorithm:
// We'll assume the perforations are given in order from top to
// bottom for each well. By top and bottom we do not necessarily
// mean in a geometric sense (depth), but in a topological sense:
// the 'top' perforation is nearest to the surface topologically.
// Our goal is to compute a pressure delta for each perforation.
// 1. Compute the flow (in surface volume units for each
// component) exiting up the wellbore from each perforation,
// taking into account flow from lower in the well, and
// in/out-flow at each perforation.
std::vector<double> q_out_perf(nperf*np);
for (int w = 0; w < nw; ++w) {
// Iterate over well perforations from bottom to top.
for (int perf = wells.well_connpos[w+1] - 1; perf >= wells.well_connpos[w]; --perf) {
for (int phase = 0; phase < np; ++phase) {
if (perf == wells.well_connpos[w+1]) {
// This is the bottom perforation. No flow from below.
q_out_perf[perf*np + phase] = 0.0;
} else {
// Set equal to flow from below.
q_out_perf[perf*np + phase] = q_out_perf[(perf+1)*np + phase];
}
// Subtract outflow through perforation.
q_out_perf[perf*np + phase] -= wstate.perfRates()[perf*np + phase];
}
}
}
// 2. Compute the component mix at each perforation as the
// absolute values of the surface rates divided by their sum.
// Then compute volume ratios (formation factors) for each perforation.
// Finally compute densities for the segments associated with each perforation.
const int gaspos = phase_usage.phase_pos[BlackoilPhases::Vapour];
const int oilpos = phase_usage.phase_pos[BlackoilPhases::Liquid];
std::vector<double> mix(np);
std::vector<double> x(np);
std::vector<double> dens(nperf);
for (int w = 0; w < nw; ++w) {
for (int perf = wells.well_connpos[w]; perf < wells.well_connpos[w+1]; ++perf) {
// Find component mix.
const double tot_surf_rate = std::accumulate(q_out_perf.begin() + np*perf,
q_out_perf.begin() + np*(perf+1), 0.0);
if (tot_surf_rate != 0.0) {
for (int phase = 0; phase < np; ++phase) {
mix[phase] = std::fabs(q_out_perf[perf*np + phase]/tot_surf_rate);
}
} else {
// No flow => use well specified fractions for mix.
std::copy(wells.comp_frac + w*np, wells.comp_frac + (w+1)*np, mix.begin());
}
// Compute volume ratio.
x = mix;
double rs = 0.0;
double rv = 0.0;
if (!rsmax_perf.empty() && mix[oilpos] > 0.0) {
// Subtract gas in oil from gas mixture
rs = std::min(mix[gaspos]/mix[oilpos], rsmax_perf[perf]);
x[gaspos] = mix[gaspos] - mix[oilpos]*rs;
}
if (!rvmax_perf.empty() && mix[gaspos] > 0.0) {
// Subtract oil in gas from oil mixture
rv = std::min(mix[oilpos]/mix[gaspos], rvmax_perf[perf]);
x[oilpos] = mix[oilpos] - mix[gaspos]*rv;
}
double volrat = 0.0;
for (int phase = 0; phase < np; ++phase) {
volrat += x[phase] / (b_perf[perf*np + phase] * (1.0 - rs*rv));
}
// Compute segment density.
dens[perf] = std::inner_product(surf_dens.begin(), surf_dens.end(), mix.begin(), 0.0) / volrat;
}
}
// 3. Compute pressure differences between perforations.
// dp_perf will contain the pressure difference between a
// perforation and the one above it, except for the first
// perforation for each well, for which it will be the
// difference to the reference (bhp) depth.
std::vector<double> dp_perf(nperf);
for (int w = 0; w < nw; ++w) {
for (int perf = wells.well_connpos[w]; perf < wells.well_connpos[w+1]; ++perf) {
const double z_above = perf == 0 ? wells.depth_ref[w] : z_perf[perf - 1];
const double dz = z_perf[perf] - z_above;
dp_perf[perf] = dz * dens[perf] * gravity;
}
}
// 4. Compute pressure differences to the reference point (bhp) by
// accumulating the already computed adjacent pressure
// differences, storing the result in dp_perf.
std::partial_sum(dp_perf.begin(), dp_perf.end(), dp_perf.begin());
return dp_perf;
}

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@ -0,0 +1,55 @@
/*
Copyright 2014 SINTEF ICT, Applied Mathematics.
This file is part of the Open Porous Media project (OPM).
OPM is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
OPM is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with OPM. If not, see <http://www.gnu.org/licenses/>.
*/
#ifndef OPM_SEGMENTEDWELLMODEL_HEADER_INCLUDED
#define OPM_SEGMENTEDWELLMODEL_HEADER_INCLUDED
#include <vector>
struct Wells;
namespace Opm
{
class WellState;
class PhaseUsage;
/// A class giving a well model, by which we mean a way to compute
/// the pressure deltas of each perforation and the bottom-hole
/// pressure. This class contains an explicit model, that uses a
/// different density for each well segment, that is between each
/// pair of perforations.
class SegmentedWellModel
{
public:
static std::vector<double> computeConnectionPressureDelta(const Wells& wells,
const WellState& wstate,
const PhaseUsage& phase_usage,
const std::vector<double>& b_perf,
const std::vector<double>& rsmax_perf,
const std::vector<double>& rvmax_perf,
const std::vector<double>& z_perf,
const std::vector<double>& surf_dens,
const double gravity);
};
} // namespace Opm
#endif // OPM_SEGMENTEDWELLMODEL_HEADER_INCLUDED