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

Author: Smai, Farid

Source: Applicable Analysis, Volume 88, Numbers 10-11, October 2009 , pp. 1609-1616(8)

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Abstract:

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

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00036810902942226

Affiliations: 1: 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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