Geodesic
The influence of non-isothermal effects on gas production in the Northern regions
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 1, pp. 19-28.

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In the computational experiment the influence of mathematical model parameters on the dynamics of pressure and temperature fields at non-isothermal gas filtration is investigated. To describe the process, the authors use a nonlinear system of partial differential equations, obtained from the energy and mass conservation laws and the Darcy law, and physical and caloric equations as closing relations. The boundary conditions correspond to a given pressure drop at a bottom-hole. It has been shown that the influence of the temperature field on such integral characteristics as cumulative gas production is most pronounced at moderate pressure drops. An example which shows that a zone of possible hydrate formation in a gas reservoir is of a very small dimension is given. 
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E. A. Bondarev; I. I. Rozhin; K. K. Argunova. The influence of non-isothermal effects on gas production in the Northern regions. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 1, pp. 19-28. http://geodesic.mathdoc.fr/item/SJVM_2011_14_1_a2/

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