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Existence of solutions for a model of multiphase flow in porous media applied to gas migration in underground nuclear waste repository

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We prove existence of solutions for a new model of two compressible and partially miscible phase flow in porous media, applied to gas migration in underground nuclear waste repository. This model, modelling fully and partially water saturated situations, consists of a coupled system of quasilinear parabolic partial differential equations. We seek a new set of variables in order to obtain a system which belongs to the class of equations considered by Alt and Luckhaus such that it would be possible to use their existence theorem.

Keywords: existence of solution; porous medium; two-phase flow; underground nuclear waste

Document Type: Research Article


Affiliations: UMR5208 Institut Camille Jordan, Universite de Lyon, Universite Lyon 1, F-69622, Villeurbanne-Cedex, Lyon, France

Publication date: 2009-10-01

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