TY - JOUR
T1 - A Hyperbolic-Elliptic Model of Two-Phase Flow in Porous Media — Existence of Entropy Solutions
AU - Coclite , G. M.
AU - Karlsen , K. H.
AU - Mishra , S.
AU - Risebro , N. H.
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 562
EP - 583
PY - 2012
DA - 2012/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/647.html
KW - Porous media flow, conservation law, elliptic equation, weak solution, existence.
AB - <p style="text-align: justify;">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.</p>