Degenerate two-phase flow model in porous media including dynamics effects in the capillary pressure : existence of a weak solution

X. Cao, I.S. Pop

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Abstract

In this paper, we analyze a degenerate elliptic-parabolic system which describes the flow of two incompressible, immiscible fluids in porous media including dynamic effects in the phase-pressure difference. First, for a regularized diffusion coefficient, the existence and uniqueness of the weak solution in the non-degenerate case is obtained. Then we let the regularization parameter go to zero to show the existence of weak solutions under degenerate case. Keywords: Degeneracy, dynamic capillary pressure, two-phase flow, weak solution, uniqueness, pseudo-parabolic system
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages26
Publication statusPublished - 2015

Publication series

NameCASA-report
Volume1503
ISSN (Print)0926-4507

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