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Solving the Buckley-Leverett equation with gravity in a heterogeneous porous medium. (English) Zbl 0952.76085
The author studies an immiscible two-phase flow in a porous medium. Saturation equation, i.e. the Buckley-Leverett equation, is solved numerically by Godunov method in which the saturation is calculated by using the solution of Riemann problems at cell interfaces. Using the entropy inequality, the author establishes the unique solvability of Riemann problems for all possible initial conditions.
Reviewer: Y.N.Gaur (Jaipur)

76S05 Flows in porous media; filtration; seepage
76T99 Multiphase and multicomponent flows
76M25 Other numerical methods (fluid mechanics) (MSC2010)
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