﻿ Multiscale modeling filtration processes in porous media | Engineering Journal: Science and Innovation
Engineering Journal: Science and InnovationELECTRONIC SCIENCE AND ENGINEERING PUBLICATION
Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
Article

### Multiscale modeling filtration processes in porous media

Published: 23.03.2018

Authors: Dimitrienko Yu.I., Bogdanov I.O.

Published in issue: #3(75)/2018

Category: Mechanics | Chapter: Mechanics of Liquid, Gas, and Plasma

The article considers a mathematical model for the multiscale process of filtration of weakly compressible liquids in periodic porous media. Computational filtration models based on the Darcy law present rule of thumb test for estimating the parameters of porous medium with a complex internal geometry. These models often use experimental data on the permeability of porous medium or approximate empirical relationships for the parameters of local flows in pores. That is why three-dimensional local problems using the method of asymptotic averaging are formulated and presented here. These are stationary problems about the flow of some fictitious linearly viscous incompressible medium. The dependence of their results and solutions on the internal pore geometry is shown. Averaging of the local equations is performed, being the basis for obtaining the global problem of unsteady filtration of weakly compressible liquids

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