We study the behavior of a compressible three-phase flow in a heteroge-neous porous medium with periodic microstructure having application in petroleum reservoir and groundwater aquifer simulation. Here, we assume that the porosity, the absolute permedabiltiy tensor, the relative perme-abilities an the capillary pressure curves are differnt in eac type of porous media. Uisng a homogenization method, we get an equirvalent model which governs the global behavior of the flow. The determination of effective properties require the numerical resolution of local problems. Numerical computations for the 2-C case using a finite element method have been performed to obtain the effective coefficients.
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