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TIME - LAPSE GRAVITY INVERSION USING GENETIC ALGORITHM (2 BIT). EKO JANUARI WAHYUDI Supervised by: Dr. Wawan Gunawan A Kadir Dr. Hendra Grandis. OUTLINE. INTRODUCTION 4D MICROGRAVITY FLUID SUBSTITUTION GENETIC ALGORITHM PERFORMANCE TEST REAL DATA INVERSION CONCLUSION.
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TIME-LAPSE GRAVITY INVERSION USING GENETIC ALGORITHM (2 BIT) EKO JANUARI WAHYUDI Supervised by: Dr. WawanGunawan A Kadir Dr. HendraGrandis
OUTLINE • INTRODUCTION • 4D MICROGRAVITY • FLUID SUBSTITUTION • GENETIC ALGORITHM • PERFORMANCE TEST • REAL DATA INVERSION • CONCLUSION INSTITUT TEKNOLOGI BANDUNG INSTITUT TEKNOLOGI BANDUNG
INTRODUCTION • As technology advance gravimeter also improve in accuracy and give the possibility to monitor pore fluids redistribution in permeable layer. • Especially in Indonesia, 4D microgravity becomes considerable choice because: (1) relatively cheaper, (2) strong response (in many cases), (3) fast in acquisition, (4) less social and environmental conflict. • Focus of this study is inversion programming using genetic algorithms (GA's). • This study was inspired by publication Krahenbuhl & Li (2008). They used binary formulation to inverse borehole and surface gravity data. INSTITUT TEKNOLOGI BANDUNG INSTITUT TEKNOLOGI BANDUNG
4D MICROGRAVITY • Pore fluids (gas, oil, & water) are subject in gravity forces, because they have different densities. • Mass redistribution will cause changes in the gravity attraction. INSTITUT TEKNOLOGI BANDUNG INSTITUT TEKNOLOGI BANDUNG
FLUID SUBSTITUTION Δρmax = 0 0.060 0.297 0.237 (in g/cc) Assumption: Porosity = 30% Water Density = 1.00 g/cc Oil Density = 0.80 g/cc Gas Density = 0.01 g/cc INSTITUT TEKNOLOGI BANDUNG INSTITUT TEKNOLOGI BANDUNG
GENETIC ALGORITHM • GA is optimization method that combines biology genetic concept with optimization function maximize fitness through artificial evolution process • Genetic algorithm using the principal of survival for the fittest Krahenbuhl (2005) INSTITUT TEKNOLOGI BANDUNG INSTITUT TEKNOLOGI BANDUNG
GENETIC ALGORITHM • GA does not need any derivatives or curvature information • GA's strongly can handle non-linier inversion and give sharp characterization of fluid contact movement in permeable layer. The objective function INSTITUT TEKNOLOGI BANDUNG INSTITUT TEKNOLOGI BANDUNG
GA’s RESULTS Data Observation Inversion Result Inversion Performance Krahenbuhl & Li (2009) INSTITUT TEKNOLOGI BANDUNG INSTITUT TEKNOLOGI BANDUNG
1 BIT, 2 BIT 1 bit Inversion n=2 bit Inversion INSTITUT TEKNOLOGI BANDUNG INSTITUT TEKNOLOGI BANDUNG
PERFORMANCE TEST Synthetic Model Inversion Result INSTITUT TEKNOLOGI BANDUNG INSTITUT TEKNOLOGI BANDUNG
REAL DATA INVERSION Data Observation Inversion Result INSTITUT TEKNOLOGI BANDUNG INSTITUT TEKNOLOGI BANDUNG
CONCLUSION • Genetic algorithm can be applied in 4D gravity inversion • Using 2 bit GA inversion give the possibility to characterize 3 type density changes in reservoir • Inversion results from real data show the characterization of mass increase, mass decrease, and stable zone in permeable layer INSTITUT TEKNOLOGI BANDUNG INSTITUT TEKNOLOGI BANDUNG