The gas filtration in complex porous media with stagnant zones

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.

  1. Prytula N. M., Pyanylo Ya. D., Prytula M. H.  Underground storage of gas (mathematical models and methods).  Lviv, RASTR-7 (2015), (in Ukrainian).
  2. Leibenzon L. S.  The movement of natural liquids and gases in a porous medium.  Мoscow–Leningrad, State publishing house of technical and theoretical literature (1947), (in Russian).
  3. Barrenblatt H. I., Entov V. M., Ryzhyk V. M.  Theory of non-stationary filtration of liquid and gas.  Мoscow, Nedra (1972), (in Russian).
  4. Varhaftik N. B.  Handbook of thermophysical properties of gases and liquids.  Moscow, Nauka (1972), (in Russian).
  5. Babenko Yu. I.  The method of fractional differentiation in applied problems of the theory of heat and mass transfer.  SPb., NPO "Professional" (2009), (in Russian).
  6. Holubev V. S.  Equations of motion of a fluid in a porous medium with flow and stagnant zones.  Report of Academy of Sciences of USSR. 238 (6), 1318–1320 (1978), (in Russian).
  7. Dietrich P., еt al.  Flowand Transportin Fractured Porous Media.  Springer–Verlag, Berlin (2005).
  8. Bear J.  Dynamics of fluids in porous media.  New York, American Elsevier publ. (1967).
  9. Ditkin V. A., Prudnikov A. P.  Handbook of operational calculus.  Мoscow, High School (1965), (in Russian).
  10. Ditkin V. A., Prudnikov A. P.  Operational calculus.  Moscow, High School (1975), (in Russian).
Mathematical Modeling and Computing, Vol. 7, No. 1, pp. 179–185 (2020)