Numerical modeling of two-phase filtration processes in interconnected reservoir layers of oil fields

Abstract

In this article, dedicated to the mathematical modeling of two-phase (oil-water and oil-gas) filtration processes in oil and gas fields, the development of numerical algorithms, and the creation of software tools. The study presents a mathematical model of the filtration process through dynamically interconnected layers in a porous medium. Based on in-depth analysis, numerical solutions were proposed for solving the two-dimensional boundary value problem using finite difference methods and iterative computation algorithms. The developed software complex enables real-time calculation of oil pressure, saturation levels, and key hydrodynamic indicators, which are presented through 3D visualizations.
The results obtained from the study offer opportunities for efficient design, analysis, and management of oil field development. This software tool has both theoretical and practical significance, providing high accuracy and efficiency in modeling and forecasting filtration processes. The presented work opens new directions in science, engineering, and practice, and contributes to the improvement of oil field development strategies.