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Zbl 0704.76059
Dawson, Clint N.
Godunov-mixed methods for immiscible displacement. (English)
[J] Int. J. Numer. Methods Fluids 11, No.6, 835-847 (1990). ISSN 0271-2091; ISSN 1097-0363/e

Summary: The immiscible displacement problem in reservoir engineering can be formulated as a system of partial differential equations which includes an elliptic pressure-velocity equation and a degenerate parabolic saturation equation. We apply a sequential numerical scheme to this problem where time splitting is used to solve the saturation equation. In this procedure one approximates advection by a higher-order Godunov method and diffusion by a mixed finite element method. Numerical results for this scheme applied to gas-oil centrifuge experiments are given.

MSC 2000:: *76T99 None of the above, but in this section
76M10 Finite element methods
76S05 Flows in porous media

Keywords: immiscible displacement problem; reservoir engineering; partial differential equations; elliptic pressure-velocity equation; degenerate parabolic saturation equation; higher-order Godunov method; mixed finite element method; gas-oil centrifuge

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