Abstract
Summary An efficient solution for deSwaan's formulation of waterflooding in naturally fractured porous media by the quadrature method is presented. Comparisons of the analytic, finite difference, and quadrature solutions of the unit endpoint mobility ratio problem reveal that the quadrature solutions are more accurate and much more easily obtained than the finite difference solutions. The computational requirements of the nonlinear problem with capillary pressure included are comparable to that of the unit endpoint mobility ratio problem. The proposed mechanism of oil transfer from matrix to fracture indicates that the matrix-to-fracture transfer function is limited to two exponential terms. It is shown that the fracture medium capillary pressure has a small effect while the oil viscosity has a large effect in the oil recovery from naturally fractured reservoirs.
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