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#11172: Move decline curve math to RigDeclineCurveCalculator
Add least squares regression as an alternative to the start/end point fit.
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@@ -20,6 +20,8 @@
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#include "RigDeclineCurveCalculator.h"
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#include <vector>
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// Test case from https://web.archive.org/web/20120710104333/http://infohost.nmt.edu/~petro/faculty/Kelly/Deline.pdf
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// Example Problem 8-1:
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// "Given that a well has declined from 100 stb/day to 96 stb/day during a one-month period,
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@@ -55,3 +57,70 @@ TEST( RigDeclineCurveCalculatorTests, exponentialFlowRateExample )
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EXPECT_NEAR( q, 61.27, 0.005 );
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}
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//--------------------------------------------------------------------------------------------------
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///
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//--------------------------------------------------------------------------------------------------
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TEST( RigDeclineCurveCalculatorTests, fitRecoversParametersFromSyntheticData )
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{
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const double qi = 100.0;
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const double di = 0.4 / ( 365.25 * 24.0 * 3600.0 ); // per second
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const double b = 0.5;
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std::vector<double> times;
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std::vector<double> exponential, harmonic, hyperbolic;
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for ( int i = -20; i <= 0; i++ )
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{
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const double t = i * 30.0 * 24.0 * 3600.0;
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times.push_back( t );
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exponential.push_back( RigDeclineCurveCalculator::computeFlowRateExponentialDecline( qi, di, t ) );
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harmonic.push_back( RigDeclineCurveCalculator::computeFlowRateHarmonicDecline( qi, di, t ) );
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hyperbolic.push_back( RigDeclineCurveCalculator::computeFlowRateHyperbolicDecline( qi, di, t, b ) );
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}
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auto expFit = RigDeclineCurveCalculator::fitExponentialDecline( times, exponential );
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ASSERT_TRUE( expFit.has_value() );
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EXPECT_NEAR( qi, expFit->first, 1.0e-6 );
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EXPECT_NEAR( di, expFit->second, 1.0e-12 );
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auto harmonicFit = RigDeclineCurveCalculator::fitHarmonicDecline( times, harmonic );
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ASSERT_TRUE( harmonicFit.has_value() );
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EXPECT_NEAR( qi, harmonicFit->first, 1.0e-6 );
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EXPECT_NEAR( di, harmonicFit->second, 1.0e-12 );
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auto hyperbolicFit = RigDeclineCurveCalculator::fitHyperbolicDecline( times, hyperbolic, b );
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ASSERT_TRUE( hyperbolicFit.has_value() );
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EXPECT_NEAR( qi, hyperbolicFit->first, 1.0e-6 );
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EXPECT_NEAR( di, hyperbolicFit->second, 1.0e-12 );
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}
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//--------------------------------------------------------------------------------------------------
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///
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//--------------------------------------------------------------------------------------------------
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TEST( RigDeclineCurveCalculatorTests, fitFailsWithTooFewValidPoints )
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{
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EXPECT_FALSE( RigDeclineCurveCalculator::fitExponentialDecline( { -10.0, 0.0 }, { 0.0, 5.0 } ).has_value() );
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}
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//--------------------------------------------------------------------------------------------------
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///
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//--------------------------------------------------------------------------------------------------
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TEST( RigDeclineCurveCalculatorTests, historyIsBackwardExtrapolationOfFittedCurve )
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{
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const double day = 24.0 * 3600.0;
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using Calc = RigDeclineCurveCalculator;
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Calc::DeclineModel model{ Calc::DeclineCurveType::EXPONENTIAL, Calc::FitMethod::REGRESSION, 0.5, false };
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// Noisy history around an exponential decline
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std::vector<time_t> timeSteps = { 0, static_cast<time_t>( 100 * day ), static_cast<time_t>( 200 * day ), static_cast<time_t>( 300 * day ) };
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std::vector<double> values = { 100.0, 80.0, 66.0, 50.0 };
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auto result = Calc::computeDeclineCurveValues( model, values, timeSteps, { static_cast<time_t>( 400 * day ) } );
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ASSERT_TRUE( result.has_value() );
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ASSERT_EQ( 5u, result->size() );
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EXPECT_NE( values[0], ( *result )[0] );
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EXPECT_GT( ( *result )[0], ( *result )[1] );
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EXPECT_GT( ( *result )[3], ( *result )[4] );
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}
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