On the upstream mobility scheme for two-phase flow in porous media

Details On the upstream mobility scheme for two-phase flow in porous media On the upstream mobility scheme for two-phase flow in porous media

2009-01-26

arxiv.org/abs/0901.4032v1

Computer Science

Numerical Analysis

A preprint to be published in Computational Geosciences

Scientific paper

When neglecting capillarity, two-phase incompressible flow in porous media is modelled as a scalar nonlinear hyperbolic conservation law. A change in the rock type results in a change of the flux function. Discretizing in one-dimensional with a finite volume method, we investigate two numerical fluxes, an extension of the Godunov flux and the upstream mobility flux, the latter being widely used in hydrogeology and petroleum engineering. Then, in the case of a changing rock type, one can give examples when the upstream mobility flux does not give the right answer.

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