Geodesic
Numerical modeling of the influence of heat exchange of reservoir beds with enclosing rocks on gas production from a~single well
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 4, pp. 337-346.

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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. 
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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. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 4, pp. 337-346. http://geodesic.mathdoc.fr/item/SJVM_2013_16_4_a3/

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