عنوان مقاله [English]
In this paper, a numerical method has been presented for hydrocarbon reservoir simulation in three-dimensions using a black-oil model. Here, it is assumed that reservoir fluid contains three-components (oil, gas and water), which can be present in three phases (Oil, Vapor and Aqua). Temperature effects are neglected, but rock compressibility and capillary pressure are included in the physical model. Governing equations for both saturated and under-saturated cases are presented. A finite difference numerical algorithm is devised to solve the problem. The equations are discretized using a cell-centered difference scheme in space and a backward Euler scheme in time. The linearization technique and details of the solution algorithm are presented. Two SPE comparative study problems, i.e. SPE-1 and SPE-8, are solved to verify the accuracy of the proposed method using existing scientific data. The numerical results obtained in this work are in good agreement with results obtained by some other commercial software.