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Matematicheskoe modelirovanie, 2017, Volume 29, Number 7, Pages 133–144 (Mi mm3872)  
This article is cited in 23 scientific papers (total in 23 papers)

The use of splitting on physical processes for the modeling of gas hydrates dissociation

P. I. Rahimlia, Yu. A. Poveshchenkobc, O. R. Rahimlya, V. O. Podrygab, G. I. Kazakevichd, I. V. Gasilovab

a Moscow Institute of Physics and Technology (State University)
b Keldysh Institute of Applied Mathematics of RAS
c National Research Nuclear University MEPhI
d P.P. Shirshov Institute of Oceanology of RAS
Full-text PDF (503 kB) Citations (23)
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Abstract: The work is devoted to modeling the phase transformations of gas hydrate inclusions in porous media. The study of these problems makes it possible to develop various technologies for the development of gas hydrate deposits. A two-block mathematical model of dissociation of gas hydrates in a porous medium is proposed and investigated. The model is based on splitting into physical processes. For the numerical analysis of the model an absolutely stable difference scheme is constructed and realized in the spatially one-dimensional case. On the basis of the constructed difference scheme, calculations were made of water saturation, thawing, and thermodynamic parameters (pressure and temperature). The analysis of the data obtained in calculations confirmed that with the help of the presented approach it is possible to solve the typical problems of gas hydrate fluid dynamics, to study the complex dynamics of water and hydrate saturation of the formation.
Keywords: gas hydrates, filtering, mathematical modeling.
Funding agency Grant number
Russian Science Foundation 16-11-00100
Russian Foundation for Basic Research 16-29-15081_офи_м
16-29-15095_офи_м
Received: 10.04.2017
English version:
Mathematical Models and Computer Simulations, 2018, Volume 10, Issue 1, Pages 69–78
DOI: https://doi.org/10.1134/S2070048218010118
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. I. Rahimli, Yu. A. Poveshchenko, O. R. Rahimly, V. O. Podryga, G. I. Kazakevich, I. V. Gasilova, “The use of splitting on physical processes for the modeling of gas hydrates dissociation”, Matem. Mod., 29:7 (2017), 133–144; Math. Models Comput. Simul., 10:1 (2018), 69–78
Citation in format AMSBIB
\Bibitem{RahPovRah17}
\by P.~I.~Rahimli, Yu.~A.~Poveshchenko, O.~R.~Rahimly, V.~O.~Podryga, G.~I.~Kazakevich, I.~V.~Gasilova
\paper The use of splitting on physical processes for the modeling of gas hydrates dissociation
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 7
\pages 133--144
\mathnet{http://mi.mathnet.ru/mm3872}
\elib{https://elibrary.ru/item.asp?id=29404337}
\transl
\jour Math. Models Comput. Simul.
\yr 2018
\vol 10
\issue 1
\pages 69--78
\crossref{https://doi.org/10.1134/S2070048218010118}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042566944}
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  • https://www.mathnet.ru/eng/mm/v29/i7/p133
    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математическое моделирование
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