A hyperbolic-elliptic model of two-phase flow in porous media
Coclite, Giuseppe M.
Karlsen, Kenneth H.
Risebro, Nils H.
We consider the flow of two-phases in a porous medium and propose a modi ed version of the fractional flow model for incompressible, two-phase flow based on a Helmholtz regularization of the Darcy phase velocities. We show the existence of global-in-time entropy solutions for this model with suitable assumptions on the boundary conditions. Numerical experiments demonstrating the approximation of the classical two-phase flow equations with the new model are presented Show more
Journal / seriesResearch reports
PublisherSeminar für Angewandte Mathematik, ETH
Organisational unit03851 - Mishra, Siddhartha
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