Numerical Modeling of the Filtration Process During Oil Displacement by Gas

The paper deals with development of a mathematical model of the process of oil and gas filtering in porous medium with piston extrusion. In order to solve the problem, there was developed a numerical algorithm based on the phase-front straightening and integro-interpolation methods using a conservative finite-difference scheme. The model adequacy was verified by series of computational experiments. The mathematical software allows to analyze parameters of the filtration process in the reservoir system, as well as to forecast and make appropriate decisions in designing and developing of oil and gas fields.

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