Affiliation:
1. Department of Mathematical Modeling, Faculty of Mathematics, Samarkand State University, University Blvd., Samarkand 140104, Uzbekistan
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.
Subject
Applied Mathematics,Modeling and Simulation,General Computer Science,Theoretical Computer Science
Reference35 articles.
1. Stress sensitivity of porosity and permeability under varying hydrostatic stress conditions for different carbonate rock types of the geothermal Malm reservoir in Southern Germany;Bohnsack;Geotherm. Energy,2021
2. Channa, Z., Khan, M.N., Iwama, H., Husain, A., Al-blooshi, J.R., El-Sayed, H.S., Nofal, S.F., Al-feky, M.H., and Fazeel, A. (2016). The Performance of Water Injection Wells Equipped with ICD Completions in One of the Giant Offshore Field, Abu Dhabi, Society of Petroleum Engineers.
3. Mathematical modeling of multiphase filtration taking into account the deformation of a porous medium;Burnashev;Probl. Comput. Appl. Math.,2022
4. Siddique, J.I., Ahmed, A., Aziz, A., and Khalique, C.M. (2017). A Review of Mixture Theory for Deformable Porous Media and Applications. Appl. Sci., 7.
5. A coupled fluid-solid SPH approach to modeling flow through deformable porous media;Bui;Int. J. Solids Struct.,2017
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