Mathematical Modeling of Multi-Phase Filtration in a Deformable Porous Medium
V. F. BurnashevDepartment of Mathematical Modeling, Faculty of Mathematics, Samarkand State University, University Blvd., Samarkand 140104, UzbekistanK. K. ViswanathanDepartment of Mathematical Modeling, Faculty of Mathematics, Samarkand State University, University Blvd., Samarkand 140104, UzbekistanZokhidjon KaytarovDepartment of Mathematical Modeling, Faculty of Mathematics, Samarkand State University, University Blvd., Samarkand 140104, Uzbekistan
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Abstract
In this paper, a mathematical model of multiphase filtration in a deformable porous medium is presented. Based on the proposed model, the influence of the deformation of a porous medium on the filtration processes is studied. Numerical calculations are performed and the characteristics of the process are determined. This paper shows that an increase in the compressibility coefficient leads to a sharp decrease in porosity, absolute permeability and internal pressure of the medium near the well, and a decrease in the distance between wells leads to a sharp decrease in hydrodynamic parameters in the inter-well zone.
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