Work

Mathematical analysis of the two‐phase two‐component fluid flow in porous media by an artificial persistent variables approach

Year: 2024

Type: article

Abstract: This paper deals with the existence of weak solutions of the system that describes the two-phase two-component fluid flow in porous media. Both two-phase and possible one-phase flow regions are taken into account. Our research is based on a global pressure, introduced in3, an artificial variable that allows us to decouple the original equations. We introduce another variable that does not have physical meaning in one-phase region and name it capillary pseudo-pressure. By using these two variables we rewrite system's equations in a fully equivalent form. This allows us to derive an existence result for weak solutions in more tractable way compared to15.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10454

Authors: Anja Vrbaški, Ana Žgaljić Keko

Institutions: University of Zagreb, Faculty of Electrical Engineering and Computing in Zagreb

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $4,760

Funder: Hrvatska Zaklada za Znanost