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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
Full-text PDF (1711 kB) Citations (5)
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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
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3380133}
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\transl
\jour Num. Anal. Appl.
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\pages 289--297
\crossref{https://doi.org/10.1134/S1995423913040046}
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  • https://www.mathnet.ru/eng/sjvm522
  • https://www.mathnet.ru/eng/sjvm/v16/i4/p337
    • This publication is cited in the following 5 articles:
    1. Gavril I. Ivanov, Igor I. Rozhin, I. Onyusheva, D. Markovich, Z. Khussainova, L. Sembieva, “Mass flow rate determination under reservoir conditions changing in the problem of gas extraction with hydrate plug formation”, E3S Web Conf., 592 (2024), 05017  crossref
    2. I. I. Rozhin, G. I. Ivanov, “Simulation of hydrate plug formation during joint operation of a gas-bearing reservoir and a well for the case where the equilibrium conditions of hydrate formation depend on formation water composition”, J. Appl. Mech. Tech. Phys., 64:2 (2023), 284–296  mathnet  crossref  crossref  elib
    3. Igor I. Rozhin, Gavril I. Ivanov, “TOPICAL ISSUES OF THERMOPHYSICS, ENERGETICS AND HYDROGASDYNAMICS IN THE ARCTIC CONDITIONS”: Dedicated to the 85th Birthday Anniversary of Professor E. A. Bondarev, 2528, “TOPICAL ISSUES OF THERMOPHYSICS, ENERGETICS AND HYDROGASDYNAMICS IN THE ARCTIC CONDITIONS”: Dedicated to the 85th Birthday Anniversary of Professor E. A. Bondarev, 2022, 020034  crossref
    4. Igor I. Rozhin, Gavril I. Ivanov, “TOPICAL ISSUES OF THERMOPHYSICS, ENERGETICS AND HYDROGASDYNAMICS IN THE ARCTIC CONDITIONS”: Dedicated to the 85th Birthday Anniversary of Professor E. A. Bondarev, 2528, “TOPICAL ISSUES OF THERMOPHYSICS, ENERGETICS AND HYDROGASDYNAMICS IN THE ARCTIC CONDITIONS”: Dedicated to the 85th Birthday Anniversary of Professor E. A. Bondarev, 2022, 020037  crossref
    5. Ivanov G.I., Nikolaev V.E., “Numerical Analysis of Non-Isothermal Real Gas Filtration Through An Area of Complex Form”, AIP Conference Proceedings, 2328, eds. Grigorev Y., Popov S., Sharin E., Amer Inst Physics, 2021, 040003  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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