We consider the flow of two-phases in a porous medium and propose a modified 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.
A hyperbolic-elliptic model of two-phase flow in porous media-existence of entropy solutions / Coclite, Giuseppe Maria; Karlsen, K. H.; Mishra, S; Risebro, N. H.. - In: INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING. - ISSN 1705-5105. - 9:3(2012), pp. 562-583.
A hyperbolic-elliptic model of two-phase flow in porous media-existence of entropy solutions
COCLITE, Giuseppe Maria;
2012-01-01
Abstract
We consider the flow of two-phases in a porous medium and propose a modified 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
