2-Dimensional Pressure Distribution in Saturated Petroleum Reservoir using Finite Difference
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Abstract
The aim of this project is to solve the Darcy’s Equation using the finite difference (FD) method. We test the governing equation by investigating a saturated petroleum reservoir in two-dimensional (2-D) system to describe the distribution of the pressure within the reservoir. We assume that the velocity of the fluid (oil) is incompressible and relatively slow as a consequence that the system is saturated. The model used is a flow in steady state 2-D porous media. We apply the modified form of FN method with Gauss-Seidel to improve the precision of the simulation.
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Putra, A., & Srigutomo, W. (2016). 2-Dimensional Pressure Distribution in Saturated Petroleum Reservoir using Finite Difference. Indonesian Journal of Physics, 27(1), 21 - 26. https://doi.org/10.5614/itb.ijp.2016.27.1.4
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References
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(3) Desai, C.S., and Abel, J. F., Introduction to the finite element method, van Nostrand Reihold, New Y ork, 1972.
(4) Ewing R.E., Pilant M.S., Wade J.G., and Watson A.T.,Parameter Estimation in Petroleum and Groundwater Modeling, Department of Mathematics and Institute. 1994
(5) H. Darcy. Les Fontaines Publiques de la Ville de Dijon, Dalmont, Paris. 1856
(6) Hans Petter L., Kent-Andre M.Numerical methods for incompressible Viscous Flow. Dept. of Scientific Computing. University of Oslo.Oslo.2011
(7) Jorg, E. Aarnes. An Introduction to the Numerics of Flow in Porous Media using Matlab. Dept. of Apllied Mathematics. Oslo for Scientific Computation, Texas A&M University. 2007
(8) Lee, T., Kavaris, C., and Seinfeld, J. H., History- Matching by Spline Approximation and Regularization in Single-Phase Areal Reservoirs, SPE Reservoir Engineering Journal, Sept. 521-543. 1986
(9) Singarimbun, A et al. , Simulation of Production and Injection Process in Geothermal Reservoir Using Finite Difference Method, WSEAS and Transactions on Heat and Mass Transfer.Bandung.2012
(10) Thamir, A. Hafedh et al.. Fluid Flow In 2-D Petroleum Reservoir Using Darcy's Equation.no.2 vol.2.yogyakarta. 2004