Geodesic
Investigation of filtration processes in a gas-hydrate reservoir taking into account salinity and solid-phase inclusions
Matematičeskoe modelirovanie, Tome 34 (2022) no. 5, pp. 88-104 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this work, the method of splitting by physical processes is consistently applied to the problems of underground hydromechanics related to gas hydrates and taking into account the presence of ice and the ice-water phase transition, as well as the presence of salt and gas dissolved in water. The systems are reduced to a block form, with the separation of the dissipative and hyperbolic parts. It is shown by the method of characteristics that the usual approximation of the upstream coefficients must be modified here. Using the Gibbs phase rule, the choice of governing variables in flow zones that differ from each other in the number of phases and components is made. A general mathematical model has been constructed for the entire process flow area, which takes into account the dynamic appearance and disappearance of such zones as a result of filtration and phase transitions. Based on the developed discrete algorithms, the problem of the interaction of a vertical fault and a horizontal reservoir containing a gas hydrate with a dynamic transition of the hydrate-equilibrium and thawed zones is numerically studied.
Keywords: mathematical modeling, gas hydrates, multicomponent filtration, permafrost. 
@article{MM_2022_34_5_a5,
     author = {Yu. A. Poveshchenko and P. I. Rahimly and V. O. Podryga and O. R. Rahimly and G. I. Kazakevich and S. B. Popov},
     title = {Investigation of filtration processes in a gas-hydrate reservoir taking into account salinity and solid-phase inclusions},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {88--104},
     year = {2022},
     volume = {34},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2022_34_5_a5/}
}
TY  - JOUR
AU  - Yu. A. Poveshchenko
AU  - P. I. Rahimly
AU  - V. O. Podryga
AU  - O. R. Rahimly
AU  - G. I. Kazakevich
AU  - S. B. Popov
TI  - Investigation of filtration processes in a gas-hydrate reservoir taking into account salinity and solid-phase inclusions
JO  - Matematičeskoe modelirovanie
PY  - 2022
SP  - 88
EP  - 104
VL  - 34
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MM_2022_34_5_a5/
LA  - ru
ID  - MM_2022_34_5_a5
ER  - 
%0 Journal Article
%A Yu. A. Poveshchenko
%A P. I. Rahimly
%A V. O. Podryga
%A O. R. Rahimly
%A G. I. Kazakevich
%A S. B. Popov
%T Investigation of filtration processes in a gas-hydrate reservoir taking into account salinity and solid-phase inclusions
%J Matematičeskoe modelirovanie
%D 2022
%P 88-104
%V 34
%N 5
%U http://geodesic.mathdoc.fr/item/MM_2022_34_5_a5/
%G ru
%F MM_2022_34_5_a5
Yu. A. Poveshchenko; P. I. Rahimly; V. O. Podryga; O. R. Rahimly; G. I. Kazakevich; S. B. Popov. Investigation of filtration processes in a gas-hydrate reservoir taking into account salinity and solid-phase inclusions. Matematičeskoe modelirovanie, Tome 34 (2022) no. 5, pp. 88-104. http://geodesic.mathdoc.fr/item/MM_2022_34_5_a5/

[1] X. Liu, P. B. Flemings, “Dynamic multiphase flow model of hydrate formation in marine sediments”, J. Geophys. Res., 112 (2007), B03101, 1–23

[2] V. V. Malakhova, A. V. Yeliseyev, “Vliianie diffuzii solei na sostoianie i rasprostranenie mnogoletnemerzlykh porod i zony stabilnosti metan-gidratov shelfa moria Laptevykh”, Led i Sneg, 60:4 (2020), 533–546

[3] Yu. A. Poveshchenko, G. I. Kazakevich, “Matematicheskoe modelirovanie gazogidratnykh protsessov”, Matematicheskie mashiny i sistemy, 2011, no. 3, 105–110

[4] Yu. A. Poveshchenko, P. I. Rahimly, O.R Rahimly, V. O. Podryga, I. V. Gasilova, “A numerical approach to study the thermal influence on gas hydrates by physical process splitting”, International Journal of Numerical Analysis and Modeling, 17:3 (2020), 404–433 | MR | Zbl

[5] M. B. Clennell, W. J. Winters, M. Hovland, J. S. Booth, P. Henry, “Formation of natural gas hydrates in marine sediments: 1. Conceptual model of gas hydrate growth conditioned by host sediment properties”, J. Geophys. Res., 104 (1999), 22985–23003 | DOI

[6] W. Xu, “Modeling dynamic marine gas hydrate systems”, Am. Mineral, 89 (2004), 1271–1279 | DOI

[7] L. D. Landau, Ye. M. Lifshits, Statisticheskaya fizika, Nauka, M., 1976, 584 pp. | MR

[8] N. Epstein, “On tortuosity and the tortuosity factor in flow and diffusion through porous media”, Chemical Engineering Science, 44:3 (1989), 777–779 | DOI

[9] A. A. Samarskiy, A. V. Koldoba, Yu. A. Poveshchenko, V. F. Tishkin, A. P. Favorskiy, Raznostnye skhemy na nereguliarnykh setkakh, ZAO «Kriterii», Minsk, 1996, 273 pp.

[10] A. N. Dmitriyevskiy, L. I. Lobkovskiy, G. I. Kazakevich, Yu. A. Poveshchenko, I. Ye. Balanyuk, L. N. Ilyukhin, “Chislennoe modelirovanie dvizheniia fliuidov v protsesse formirovaniia zalezhei uglevodorodov na primere Predverkhoianskogo progiba”, Geologiia, geofizika i razrabotka neftianykh mestorozhdenii, 1995, no. 7, 2–6

[11] P. I. Ragimli, Yu. A. Poveshchenko, V. O. Podryga, O. R. Ragimli, S. B. Popov, “Modelirovaniye protsessov sovmestnoy filtratsii v taloy zone i pezoprovodnoy srede s gazogidratnymi vkliucheniiami”, Keldysh Institute preprints, 2018, 040, 32 pp.

[12] G. I. Kazakevich, Yu. A. Poveshchenko, V. O. Podryga, P. I. Ragimli, O. R. Ragimli, “Chislennoe modelirovanie kharakternykh zadach dissotsiatsii gazovykh gidratov v poristoi srede. Odnomernaia postanovka”, Keldysh Institute preprints, 2019, 22, 15 pp.

[13] G. I. Kazakevich, Iu. A. Poveshchenko, V. O. Podryga, P. I. Ragimli, A. E. Bakir, A. K. Abu-Nab, “Matematicheskoe modelirovanie dissotsiatsii gazovykh gidratov v poristoi srede s uchetom lda i soli”, Keldysh Institute preprints, 2022, 11, 26 pp.