Work

Two-Phase Incompressible Flow with Dynamic Capillary Pressure in a Heterogeneous Porous Media

Year: 2024

Type: article

Abstract: We prove the existence of weak solutions of a two-incompressible immiscible wetting and non-wetting fluids phase flow model in porous media with dynamic capillary pressure. This model is a coupled system which includes a nonlinear parabolic saturation equation and an elliptic pressure–velocity equation. In the regularized case, the existence and uniqueness of the weak solution are obtained. We let the regularization parameter be η→0 to prove the existence of weak solutions.

Source: Mathematics

DOI: 10.3390/math12193038

Authors: Mohamed Lamine Mostefai, Abdelbaki Choucha, Salah Boulaaras, Mufda Alrawashdeh

Institutions: Amar Telidji University of Laghouat, University of Ghardaia, Qassim University

Language: English

Topic: Advanced Mathematical Modeling in Engineering

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: Qassim University