Numerical Simulation of the Boundary Problem of Filtration in Two-Layer Porous Media with Changing Porosity Coefficient Depending on Pressure

This paper presents a robust computational algorithm designed to efficiently solve a mathematical model representing a wide range of boundary value problems [1] encountered in filtration processes within two-layer porous media exhibiting low permeability. The model effectively captures the complex flow dynamics within these intricate media. The paper demonstrates the practical application of this algorithm through computational experiments, meticulously analyzing the impact of pressure variations on key hydrodynamic parameters that govern gas field development. These experiments provide valuable insights into the system's behavior under varying conditions. The study delves into the intricate relationship between porosity coefficient and pressure fluctuations, offering a deeper understanding of how these factors influence the filtration process. The impact of pressure variations in the upper and lower formations on porosity is analyzed and presented using contour plots, providing valuable insights into the complex interplay of hydrodynamic parameters and porosity in two-layer porous media. This research significantly contributes to the field of porous media modeling by providing a practical and computationally efficient tool for analyzing complex flow scenarios in low-permeability two-layer systems. The study's comprehensive analysis of pressure-porosity interactions offers valuable insights into gas field development processes, contributing to a deeper understanding of these complex systems.

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