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  4. The gas filtration in complex porous media with stagnant zones

The gas filtration in complex porous media with stagnant zones

MMC.
2020;
Volume 7, Number 1
: pp. 179–185
https://doi.org/10.23939/mmc2020.01.179
Received: April 01, 2019
Accepted: May 05, 2020

Mathematical Modeling and Computing, Vol. 7, No. 1, pp. 179–185 (2020)

Authors:
  1. Ya. D. Pyanylo
  2. O. B. Bratash
1
Lviv Center of Mathematical Modeling of Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine
2
Lviv Center of Mathematical Modeling of Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine

The process of gas filtration in a porous medium depending on its structure is modeled in the paper.  The presence of pores of various sizes leads to the formation of flow and stagnation zones, which affect both the pressure distribution in the medium and the active gas mass.  The obtained results make it possible to determine the proportion of the flow zones volume and the exchange coefficient between the flow and stagnant zones.

gas filtration
porous medium
partial differential equations
integral transforms
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