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Volume 9, Issue 3
A Hyperbolic-Elliptic Model of Two-Phase Flow in Porous Media — Existence of Entropy Solutions

G. M. Coclite, K. H. Karlsen, S. Mishra & N. H. Risebro

Int. J. Numer. Anal. Mod., 9 (2012), pp. 562-583.

Published online: 2012-09

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  • 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.

  • Keywords

Porous media flow, conservation law, elliptic equation, weak solution, existence.

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-9-562, author = {Coclite , G. M.Karlsen , K. H.Mishra , S. and Risebro , N. H.}, title = {A Hyperbolic-Elliptic Model of Two-Phase Flow in Porous Media — Existence of Entropy Solutions}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2012}, volume = {9}, number = {3}, pages = {562--583}, 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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/647.html} }
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 -

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.

Coclite , G. M.Karlsen , K. H.Mishra , S. and Risebro , N. H.. (2012). A Hyperbolic-Elliptic Model of Two-Phase Flow in Porous Media — Existence of Entropy Solutions. International Journal of Numerical Analysis and Modeling. 9 (3). 562-583. doi:
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