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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2013, Volume 16, Number 4, Pages 337–346
(Mi sjvm522)
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This article is cited in 4 scientific papers (total in 4 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
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
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
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https://www.mathnet.ru/eng/sjvm522 https://www.mathnet.ru/eng/sjvm/v16/i4/p337
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Abstract page: | 197 | Full-text PDF : | 45 | References: | 32 | First page: | 3 |
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