Work

Some observations regarding the stationary Buckley–Leverett equation

Year: 2025

Type: article

Abstract: The basic hyperbolic-elliptic black-oil model describes oil-water displacement in a porous medium. Given its mathematical complexity, there is a need for particular simple solutions for validation of numerical methods. We present a class of stationary solutions, which are easy to compute, and in many cases are given by explicit formulae. These solutions are constructed by a nonlinear coupling of two linear equations, an elliptic pressure equation and a hyperbolic saturation equation.

Source: Applied Mathematics Letters

DOI: 10.1016/j.aml.2025.109621

Authors: G.M. Coclite, K.H. Karlsen, N.H. Risebro

Institutions: Polytechnic University of Bari, University of Oslo

Language: English

Topic: Reservoir Engineering and Simulation Methods

Subfield: Ocean Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,800

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Norges Forskningsråd, Ministero dell'Università e della Ricerca