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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2013, Volume 16, Number 4, Pages 337–346 (Mi sjvm522)  
This article is cited in 5 scientific papers (total in 5 papers)

Numerical modeling of the influence of heat exchange of reservoir beds with enclosing rocks on gas production from a single well

V. E. Nikolaeva, G. I. Ivanova, I. I. Rozhinb

a Institute of Mathematics and Informatics, Ammosov North-East Federal University, ul. Kulakovskogo 48, Yakutsk, 677000, Russia
b Institute of Oil and Gas Problems, Siberian Branch, Russian Academy of Sciences, ul. Oktyabr’skaya 1, Yakutsk, 677980, Russia
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Abstract: In the computational experiment, the influence of heat exchange through top and bottom of the gas-bearing reservoir on the dynamics of temperature and pressure fields in the process of real gas production from a single well is investigated. The experiment was carried out with a modified mathematical model of non-isothermal gas filtration, obtained from the energy and mass conservation laws and the Darcy law. The physical and caloric equations of state together with the Newton-Rihman law of heat exchange of a gas reservoir with surrounding enclosing rocks are used as closing relations. It is shown that the influence of the heat exchange with environment on the temperature field of a gas-bearing reservoir is localized in a narrow zone near its top and bottom, though the size of this zone increases with time.
Key words: mathematical modeling, non-isothermal filtration, real gas, finite difference methods.
Received: 23.08.2012
English version:
Numerical Analysis and Applications, 2013, Volume 6, Issue 4, Pages 289–297
DOI: https://doi.org/10.1134/S1995423913040046
Bibliographic databases:
Document Type: Article
UDC: 532.546+536.24
Language: Russian
Citation: V. E. Nikolaev, G. I. Ivanov, I. I. Rozhin, “Numerical modeling of the influence of heat exchange of reservoir beds with enclosing rocks on gas production from a single well”, Sib. Zh. Vychisl. Mat., 16:4 (2013), 337–346; Num. Anal. Appl., 6:4 (2013), 289–297
Citation in format AMSBIB
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\by V.~E.~Nikolaev, G.~I.~Ivanov, I.~I.~Rozhin
\paper Numerical modeling of the influence of heat exchange of reservoir beds with enclosing rocks on gas production from a~single well
\jour Sib. Zh. Vychisl. Mat.
\yr 2013
\vol 16
\issue 4
\pages 337--346
\mathnet{http://mi.mathnet.ru/sjvm522}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3380133}
\elib{https://elibrary.ru/item.asp?id=21896905}
\transl
\jour Num. Anal. Appl.
\yr 2013
\vol 6
\issue 4
\pages 289--297
\crossref{https://doi.org/10.1134/S1995423913040046}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889005829}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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