On the upstream mobility scheme for two-phase flow in porous media |
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| Authors: | Siddhartha Mishra Jérôme Jaffré |
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| Institution: | 1.Center of Mathematics for Applications,University of Oslo,Oslo,Norway;2.INRIA,Le Chesnay Cedex,France |
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| Abstract: | 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. Discretising in one dimension 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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