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Transcript 
TIME-LAPSE GRAVITY INVERSION
USING GENETIC ALGORITHM (2 BIT)
EKO JANUARI WAHYUDI
Supervised by:
Dr. Wawan Gunawan A Kadir
Dr. Hendra Grandis
OUTLINE
INSTITUT TEKNOLOGI BANDUNG
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INTRODUCTION
4D MICROGRAVITY
FLUID SUBSTITUTION
GENETIC ALGORITHM
PERFORMANCE TEST
REAL DATA INVERSION
CONCLUSION
INSTITUT TEKNOLOGI BANDUNG
INTRODUCTION
INSTITUT TEKNOLOGI BANDUNG
• 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
4D MICROGRAVITY
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• Pore fluids (gas, oil, & water) are subject in gravity forces, because
they have different densities.
• Mass redistribution will cause changes in the gravity attraction.
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FLUID SUBSTITUTION
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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
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GENETIC ALGORITHM
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• 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)
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GENETIC ALGORITHM
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• 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
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GA’s RESULTS
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Data Observation
Inversion Result
Inversion Performance
Krahenbuhl & Li (2009)
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1 BIT, 2 BIT
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1 bit Inversion
n=2 bit Inversion
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PERFORMANCE TEST
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Synthetic Model
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Inversion Result
REAL DATA INVERSION
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Data Observation
Inversion Result
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CONCLUSION
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• 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
THANKS
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