Écoulements diphasiques en milieux poreux : modèle de ménisque

Abstract : A new macroscopic model of two-phase flow through porous media is suggested. It takes in consideration a typical structure of phase distribution in pores in the form of a repetitive field of mobile menisci. The presence of such interfaces givers rise to a supplementary term in the momentum balance equation, which introduces a vector field of capillary forces. The derivation of the model is based on the phenomenological approach with introducing a special continuum called the Meniscus-continuum. The closure relations to the phenomenological model are obtained by numerical simulations in network models of porous media. The new model remains hyperbolic even when the capillary forces are dominant, in contrast with the classical model which is parabolic. Analytical solutions to the mono-dimensional flow problems are constructed. They manifest non-classical structures like the double fronts or counter-flow fronts. To simulate 2D or 3D problems, a numerical algorithm is developed, which is a combination between the finite difference and the percolation techniques. Its application to the problem of DNAPL propagation into the soil has enabled to detect several penetration regimes.
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Irina Panfilova. Écoulements diphasiques en milieux poreux : modèle de ménisque. Autre. Institut National Polytechnique de Lorraine, 2003. Français. ⟨NNT : 2003INPL059N⟩. ⟨tel-01749712⟩

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