A Numerical Investigation of the Multiphase Filtration Process Considering Medium and Phase Compressibility
Abstract
This study developed a mathematical model of the multiphase filtration process in a porous medium, accounting for medium and phase compressibility. The problem was solved numerically using the "large particle" method, and the resulting pressure, velocity, porosity, and permeability values were analyzed. The results indicated that during the filtration process with high compressibility, porosity and permeability, a decrease in the bottom-hole zone occurred as reservoir pressure also decreased. This reduction slowed the pressure drop and prevented the filtration process from reaching the far zones of the medium. Consequently, although porosity and permeability were decreased in the bottom-hole zone, their changes were minimal in regions far from the well. The results were validated by comparing the average pressures with those from a previous study, showing good agreement.