Abstract

In this paper, we develop a simplified formulation of the hydrocarbon system used for the petroleum reservoirs simulation.This system is a simplified model which describes a two-phase flow (oil and gas) with a mass transfer in a porous medium, that leads to the fluid compressibility.this kind of flow is modelled by a system of parabolic degenerated non linear convection-diffusion equations.Under certrain hypothesis, such as validity of Darcy’s law, incompressibility of the porous medium, compressibility of the fluids, mass transfer between the oil and the gas and negligible gravity, the global pressure is formulated.This formulation allows the establishment of theoretical results on the existence and uniquness of the solution.

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