Mathematical Modeling of Multi-Phase Filtration in a Deformable Porous Medium

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 proces...

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Bibliographic Details
Published inComputation Vol. 11; no. 6; p. 112
Main Authors Burnashev, V. F., Viswanathan, K. K., Kaytarov, Z. D.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.06.2023
Subjects
Compressibility
Deformation
Filtration
Finite element analysis
Fluids
Formability
Hydrodynamics
Hydrofoil boats
Internal pressure
mathematical modeling
Mathematical models
Methods
Multiphase
Numerical analysis
Permeability
Phase transitions
Porosity
Porous materials
Porous media
pressure
saturation
Uzbekistan
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Summary: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.
ISSN:2079-3197
2079-3197
DOI:10.3390/computation11060112