#3409 Add time dependent mat to frac dP option

This commit is contained in:
Gaute Lindkvist
2018-09-25 10:12:45 +02:00
parent df2c3c4819
commit 301e05caa0
9 changed files with 250 additions and 191 deletions

View File

@@ -122,23 +122,6 @@ double RigFractureTransmissibilityEquations::matrixToFractureTrans(double perm,
return transmissibility;
}
//--------------------------------------------------------------------------------------------------
///
//--------------------------------------------------------------------------------------------------
double RigFractureTransmissibilityEquations::pressureScalingMatrixToFractureTransPDDHC(double originalWellPressure,
double wellPressure,
double originalMatrixPressure,
double matrixPressure)
{
double pressureDelta = originalMatrixPressure - originalWellPressure;
if (cvf::Math::abs(pressureDelta) > EPSILON)
{
return (matrixPressure - wellPressure) / pressureDelta;
}
CVF_ASSERT(false);
return 0.0;
}
//--------------------------------------------------------------------------------------------------
///
//--------------------------------------------------------------------------------------------------

View File

@@ -56,12 +56,6 @@ public:
double fractureAreaWeightedlength,
double cDarcy);
// Pressure Differential Depletion H<>gst<73>l-correction (PDDHC) methods.
static double pressureScalingMatrixToFractureTransPDDHC(double originalWellPressure,
double wellPressure,
double originalMatrixPressure,
double matrixPressure);
static double effectiveInternalFractureToWellTransPDDHC(double sumScaledMatrixToFractureTrans,
double scaledMatrixToWellTrans);

View File

@@ -123,17 +123,40 @@ double RigTransmissibilityCondenser::condensedTransmissibility(CellAddress exter
//--------------------------------------------------------------------------------------------------
///
//--------------------------------------------------------------------------------------------------
std::map<size_t, double> RigTransmissibilityCondenser::scaleMatrixToFracTransByMatrixWellDP(
const RigActiveCellInfo* actCellInfo,
double originalWellPressure,
double currentWellPressure,
const std::vector<double>& originalMatrixPressures,
const std::vector<double>& currentMatrixPressures)
std::map<size_t, double>
RigTransmissibilityCondenser::scaleMatrixToFracTransByMatrixWellDP(const RigActiveCellInfo* actCellInfo,
double initialWellPressure,
double currentWellPressure,
const std::vector<double>& initialMatrixPressures,
const std::vector<double>& currentMatrixPressures,
bool normalizeByMax)
{
CVF_ASSERT(originalMatrixPressures.size() == currentMatrixPressures.size());
CVF_ASSERT(initialMatrixPressures.size() == currentMatrixPressures.size());
std::map<size_t, double> originalLumpedMatrixToFractureTrans; // Sum(T_mf)
double maxInitialDeltaPressure = 0.0;
if (normalizeByMax)
{
for (auto it = m_neighborTransmissibilities.begin(); it != m_neighborTransmissibilities.end(); ++it)
{
if (it->first.m_cellIndexSpace == CellAddress::STIMPLAN)
{
for (auto jt = it->second.begin(); jt != it->second.end(); ++jt)
{
if (jt->first.m_cellIndexSpace == CellAddress::ECLIPSE)
{
size_t globalMatrixCellIdx = jt->first.m_globalCellIdx;
size_t eclipseResultIndex = actCellInfo->cellResultIndex(globalMatrixCellIdx);
CVF_ASSERT(eclipseResultIndex < currentMatrixPressures.size());
double initialDeltaPressure = initialMatrixPressures[eclipseResultIndex] - initialWellPressure;
maxInitialDeltaPressure = std::max(maxInitialDeltaPressure, initialDeltaPressure);
}
}
}
}
}
for (auto it = m_neighborTransmissibilities.begin(); it != m_neighborTransmissibilities.end(); ++it)
{
if (it->first.m_cellIndexSpace == CellAddress::STIMPLAN)
@@ -143,16 +166,21 @@ std::map<size_t, double> RigTransmissibilityCondenser::scaleMatrixToFracTransByM
if (jt->first.m_cellIndexSpace == CellAddress::ECLIPSE)
{
size_t globalMatrixCellIdx = jt->first.m_globalCellIdx;
size_t eclipseResultIndex = actCellInfo->cellResultIndex(globalMatrixCellIdx);
size_t eclipseResultIndex = actCellInfo->cellResultIndex(globalMatrixCellIdx);
CVF_ASSERT(eclipseResultIndex < currentMatrixPressures.size());
originalLumpedMatrixToFractureTrans[globalMatrixCellIdx] += jt->second;
jt->second *= RigFractureTransmissibilityEquations::pressureScalingMatrixToFractureTransPDDHC(
originalWellPressure,
currentWellPressure,
originalMatrixPressures[eclipseResultIndex],
currentMatrixPressures[eclipseResultIndex]);
double initialDeltaPressure = initialMatrixPressures[eclipseResultIndex] - initialWellPressure;
double currentDeltaPressure = currentMatrixPressures[eclipseResultIndex] - currentWellPressure;
if (normalizeByMax)
{
jt->second *= currentDeltaPressure / maxInitialDeltaPressure;
}
else
{
jt->second *= currentDeltaPressure / initialDeltaPressure;
}
}
}
}
@@ -160,90 +188,60 @@ std::map<size_t, double> RigTransmissibilityCondenser::scaleMatrixToFracTransByM
return originalLumpedMatrixToFractureTrans;
}
//--------------------------------------------------------------------------------------------------
///
//--------------------------------------------------------------------------------------------------
std::map<size_t, double> RigTransmissibilityCondenser::scaleMatrixToFracTransByMatrixFracDP(const RigActiveCellInfo* actCellInfo, double currentWellPressure, const std::vector<double>& currentMatrixPressures, bool divideByAverageDP)
std::map<size_t, double>
RigTransmissibilityCondenser::scaleMatrixToFracTransByMatrixFracInitialDP(const RigActiveCellInfo* actCellInfo,
double initialWellPressure,
double currentWellPressure,
const std::vector<double>& initialMatrixPressures,
const std::vector<double>& currentMatrixPressures,
bool normalizeByMax)
{
// Solve for fracture pressures
Eigen::VectorXd matrixPressures(m_Tie.cols());
{
size_t rowIndex = 0u;
for (const CellAddress& externalCell : m_externalCellAddrSet)
{
if (externalCell.m_cellIndexSpace == CellAddress::ECLIPSE)
{
size_t eclipseResultIndex = actCellInfo->cellResultIndex(externalCell.m_globalCellIdx);
CVF_ASSERT(eclipseResultIndex < currentMatrixPressures.size());
matrixPressures[rowIndex++] = currentMatrixPressures[eclipseResultIndex];
}
else
{
CVF_ASSERT(externalCell.m_cellIndexSpace == CellAddress::WELL);
matrixPressures[rowIndex++] = currentWellPressure;
}
}
}
Eigen::VectorXd fracturePressures = m_TiiInv * (m_Tie * matrixPressures * -1.0);
// Solve for fracture pressures, current and initial
std::map<size_t, double> initialFractureCellToPressureMap =
solveForFracturePressures(actCellInfo, initialMatrixPressures, initialWellPressure);
std::map<size_t, double> currentFractureCellToPressureMap =
solveForFracturePressures(actCellInfo, currentMatrixPressures, currentWellPressure);
// Extract fracture pressures into a map
std::map<size_t, double> fractureCellToPressureMap;
// Calculate maximum pressure drop
double maxInitialPressureDrop = 0.0;
if (normalizeByMax)
{
size_t rowIndex = 0u;
for (const ConnectionTransmissibility& connectionTrans : m_neighborTransmissibilities)
for (auto it = m_neighborTransmissibilities.begin(); it != m_neighborTransmissibilities.end(); ++it)
{
if (connectionTrans.first.m_cellIndexSpace == CellAddress::STIMPLAN)
if (it->first.m_cellIndexSpace == CellAddress::STIMPLAN)
{
fractureCellToPressureMap[connectionTrans.first.m_globalCellIdx] = fracturePressures[rowIndex++];
}
}
}
size_t globalFractureCellIdx = it->first.m_globalCellIdx;
double initialFracturePressure = initialFractureCellToPressureMap[globalFractureCellIdx];
// Calculate maximum and average pressure drop
double maxPressureDrop = 0.0;
RiaWeightedMeanCalculator<double> meanCalculator;
for (auto it = m_neighborTransmissibilities.begin(); it != m_neighborTransmissibilities.end(); ++it)
{
if (it->first.m_cellIndexSpace == CellAddress::STIMPLAN)
{
size_t globalFractureCellIdx = it->first.m_globalCellIdx;
double fracturePressure = fractureCellToPressureMap[globalFractureCellIdx];
for (auto jt = it->second.begin(); jt != it->second.end(); ++jt)
{
if (jt->first.m_cellIndexSpace == CellAddress::ECLIPSE)
for (auto jt = it->second.begin(); jt != it->second.end(); ++jt)
{
size_t globalMatrixCellIdx = jt->first.m_globalCellIdx;
if (jt->first.m_cellIndexSpace == CellAddress::ECLIPSE)
{
size_t globalMatrixCellIdx = jt->first.m_globalCellIdx;
size_t eclipseResultIndex = actCellInfo->cellResultIndex(globalMatrixCellIdx);
CVF_ASSERT(eclipseResultIndex < currentMatrixPressures.size());
size_t eclipseResultIndex = actCellInfo->cellResultIndex(globalMatrixCellIdx);
CVF_ASSERT(eclipseResultIndex < initialMatrixPressures.size());
double matrixPressure = currentMatrixPressures[eclipseResultIndex];
double pressureDrop = std::abs(matrixPressure - fracturePressure);
meanCalculator.addValueAndWeight(pressureDrop, 1.0);
maxPressureDrop = std::max(maxPressureDrop, pressureDrop);
double initialMatrixPressure = initialMatrixPressures[eclipseResultIndex];
double initialPressureDrop = std::abs(initialMatrixPressure - initialFracturePressure);
maxInitialPressureDrop = std::max(maxInitialPressureDrop, initialPressureDrop);
}
}
}
}
}
if (divideByAverageDP && !meanCalculator.validAggregatedWeight())
{
return std::map<size_t, double>();
}
else if (!divideByAverageDP && maxPressureDrop < 1.0e-9)
{
return std::map<size_t, double>();
}
double averagePressureDrop = meanCalculator.weightedMean();
std::map<size_t, double> originalLumpedMatrixToFractureTrans; // Sum(T_mf)
for (auto it = m_neighborTransmissibilities.begin(); it != m_neighborTransmissibilities.end(); ++it)
{
if (it->first.m_cellIndexSpace == CellAddress::STIMPLAN)
{
size_t globalFractureCellIdx = it->first.m_globalCellIdx;
double fracturePressure = fractureCellToPressureMap[globalFractureCellIdx];
size_t globalFractureCellIdx = it->first.m_globalCellIdx;
double currentFracturePressure = currentFractureCellToPressureMap[globalFractureCellIdx];
double initialFracturePressure = initialFractureCellToPressureMap[globalFractureCellIdx];
for (auto jt = it->second.begin(); jt != it->second.end(); ++jt)
{
@@ -254,14 +252,24 @@ std::map<size_t, double> RigTransmissibilityCondenser::scaleMatrixToFracTransByM
size_t eclipseResultIndex = actCellInfo->cellResultIndex(globalMatrixCellIdx);
CVF_ASSERT(eclipseResultIndex < currentMatrixPressures.size());
double matrixPressure = currentMatrixPressures[eclipseResultIndex];
double pressureDrop = std::abs(matrixPressure - fracturePressure);
double currentMatrixPressure = currentMatrixPressures[eclipseResultIndex];
double pressureDrop = std::abs(currentMatrixPressure - currentFracturePressure);
// Add to Sum(T_mf)
originalLumpedMatrixToFractureTrans[globalMatrixCellIdx] += jt->second;
double pressureScaling = pressureDrop / (divideByAverageDP ? averagePressureDrop : maxPressureDrop);
jt->second *= pressureScaling;
if (normalizeByMax)
{
double pressureScaling = pressureDrop / maxInitialPressureDrop;
jt->second *= pressureScaling;
}
else
{
double initialMatrixPressure = initialMatrixPressures[eclipseResultIndex];
double initialPressureDrop = std::abs(initialMatrixPressure - initialFracturePressure);
double pressureScaling = pressureDrop / initialPressureDrop;
jt->second *= pressureScaling;
}
}
}
}
@@ -272,7 +280,54 @@ std::map<size_t, double> RigTransmissibilityCondenser::scaleMatrixToFracTransByM
//--------------------------------------------------------------------------------------------------
///
//--------------------------------------------------------------------------------------------------
std::map<size_t, double> RigTransmissibilityCondenser::scaleMatrixToFracTransByMatrixFracFlux(const RigActiveCellInfo* actCellInfo, double currentWellPressure, const std::vector<double>& currentMatrixPressures, bool divideByAverageFlux)
std::map<size_t, double>
RigTransmissibilityCondenser::solveForFracturePressures(const RigActiveCellInfo* actCellInfo,
const std::vector<double>& currentMatrixPressures,
double currentWellPressure)
{
Eigen::VectorXd externalPressures(m_Tie.cols());
{
size_t rowIndex = 0u;
for (const CellAddress& externalCell : m_externalCellAddrSet)
{
if (externalCell.m_cellIndexSpace == CellAddress::ECLIPSE)
{
size_t eclipseResultIndex = actCellInfo->cellResultIndex(externalCell.m_globalCellIdx);
CVF_ASSERT(eclipseResultIndex < currentMatrixPressures.size());
externalPressures[rowIndex++] = currentMatrixPressures[eclipseResultIndex];
}
else
{
CVF_ASSERT(externalCell.m_cellIndexSpace == CellAddress::WELL);
externalPressures[rowIndex++] = currentWellPressure;
}
}
}
Eigen::VectorXd fracturePressures = m_TiiInv * (-m_Tie * externalPressures);
// Extract fracture pressures into a map
std::map<size_t, double> fractureCellToPressureMap;
{
size_t rowIndex = 0u;
for (const ConnectionTransmissibility& connectionTrans : m_neighborTransmissibilities)
{
if (connectionTrans.first.m_cellIndexSpace == CellAddress::STIMPLAN)
{
fractureCellToPressureMap[connectionTrans.first.m_globalCellIdx] = fracturePressures[rowIndex++];
}
}
}
return fractureCellToPressureMap;
}
//--------------------------------------------------------------------------------------------------
///
//--------------------------------------------------------------------------------------------------
std::map<size_t, double>
RigTransmissibilityCondenser::scaleMatrixToFracTransByMatrixFracFlux(const RigActiveCellInfo* actCellInfo,
double currentWellPressure,
const std::vector<double>& currentMatrixPressures,
bool divideByAverageFlux)
{
// Solve for fracture pressures
Eigen::VectorXd matrixPressures(m_Tie.cols());
@@ -309,14 +364,14 @@ std::map<size_t, double> RigTransmissibilityCondenser::scaleMatrixToFracTransByM
}
// Calculate maximum and average pressure drop
double maxFlux = 0.0;
double maxFlux = 0.0;
RiaWeightedMeanCalculator<double> meanCalculator;
for (auto it = m_neighborTransmissibilities.begin(); it != m_neighborTransmissibilities.end(); ++it)
{
if (it->first.m_cellIndexSpace == CellAddress::STIMPLAN)
{
size_t globalFractureCellIdx = it->first.m_globalCellIdx;
double fracturePressure = fractureCellToPressureMap[globalFractureCellIdx];
double fracturePressure = fractureCellToPressureMap[globalFractureCellIdx];
for (auto jt = it->second.begin(); jt != it->second.end(); ++jt)
{
@@ -328,8 +383,8 @@ std::map<size_t, double> RigTransmissibilityCondenser::scaleMatrixToFracTransByM
CVF_ASSERT(eclipseResultIndex < currentMatrixPressures.size());
double matrixPressure = currentMatrixPressures[eclipseResultIndex];
double pressureDrop = std::abs(matrixPressure - fracturePressure);
double flux = pressureDrop * jt->second;
double pressureDrop = std::abs(matrixPressure - fracturePressure);
double flux = pressureDrop * jt->second;
meanCalculator.addValueAndWeight(flux, 1.0);
maxFlux = std::max(maxFlux, flux);
}
@@ -352,7 +407,7 @@ std::map<size_t, double> RigTransmissibilityCondenser::scaleMatrixToFracTransByM
if (it->first.m_cellIndexSpace == CellAddress::STIMPLAN)
{
size_t globalFractureCellIdx = it->first.m_globalCellIdx;
double fracturePressure = fractureCellToPressureMap[globalFractureCellIdx];
double fracturePressure = fractureCellToPressureMap[globalFractureCellIdx];
for (auto jt = it->second.begin(); jt != it->second.end(); ++jt)
{
@@ -364,8 +419,8 @@ std::map<size_t, double> RigTransmissibilityCondenser::scaleMatrixToFracTransByM
CVF_ASSERT(eclipseResultIndex < currentMatrixPressures.size());
double matrixPressure = currentMatrixPressures[eclipseResultIndex];
double pressureDrop = std::abs(matrixPressure - fracturePressure);
double flux = jt->second * pressureDrop;
double pressureDrop = std::abs(matrixPressure - fracturePressure);
double flux = jt->second * pressureDrop;
// Add to Sum(T_mf)
originalLumpedMatrixToFractureTrans[globalMatrixCellIdx] += jt->second;
@@ -411,10 +466,12 @@ std::map<size_t, double> RigTransmissibilityCondenser::calculateFicticiousFractu
// Sum(T'_mf)
double scaledMatrixToFractureTrans = matrixToAllFracturesTrans[globalMatrixCellIdx];
// T'mw
double scaledMatrixToWellTrans = condensedTransmissibility(externalCell, { true, RigTransmissibilityCondenser::CellAddress::WELL, 1 });
double scaledMatrixToWellTrans =
condensedTransmissibility(externalCell, {true, RigTransmissibilityCondenser::CellAddress::WELL, 1});
// T'_fjw
fictitiousFractureToWellTrans[globalMatrixCellIdx] =
RigFractureTransmissibilityEquations::effectiveInternalFractureToWellTransPDDHC(scaledMatrixToFractureTrans, scaledMatrixToWellTrans);
RigFractureTransmissibilityEquations::effectiveInternalFractureToWellTransPDDHC(scaledMatrixToFractureTrans,
scaledMatrixToWellTrans);
}
}
return fictitiousFractureToWellTrans;

View File

@@ -96,14 +96,22 @@ public:
std::string condensedTransDebugOutput(const RigMainGrid* mainGrid, const RigFractureGrid* fractureGrid);
std::map<size_t, double> scaleMatrixToFracTransByMatrixWellDP(const RigActiveCellInfo* actCellInfo,
double originalWellPressure,
double currentWellPressure,
const std::vector<double>& originalMatrixPressures,
const std::vector<double>& currentMatrixPressures);
std::map<size_t, double> scaleMatrixToFracTransByMatrixFracDP(const RigActiveCellInfo* actCellInfo,
double initialWellPressure,
double currentWellPressure,
const std::vector<double>& initialMatrixPressures,
const std::vector<double>& currentMatrixPressures,
bool divideByAverageDP);
bool normalizeByMax);
std::map<size_t, double> scaleMatrixToFracTransByMatrixFracInitialDP(const RigActiveCellInfo* actCellInfo,
double initialWellPressure,
double currentWellPressure,
const std::vector<double>& initialMatrixPressures,
const std::vector<double>& currentMatrixPressures,
bool normalizeByMax);
std::map<size_t, double> solveForFracturePressures(const RigActiveCellInfo* actCellInfo, const std::vector<double> &currentMatrixPressures, double currentWellPressure);
std::map<size_t, double> scaleMatrixToFracTransByMatrixFracFlux(const RigActiveCellInfo* actCellInfo,
double currentWellPressure,
const std::vector<double>& currentMatrixPressures,