Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2016-1pp.57-64

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I.K. Gimaltdinov and M.K. Khasanov, "Mathematical model of the formation of a gas hydrate on the injection of gas into a stratum partially saturated with ice," J. Appl. Math. Mech. 80 (1), 57-64 (2016)
Year 2016 Volume 80 Issue 1 Pages 57-64
DOI 10.1016/j.jappmathmech.2016.05.009
Title Mathematical model of the formation of a gas hydrate on the injection of gas into a stratum partially saturated with ice
Author(s) I.K. Gimaltdinov (Ufa State Petroleum Technological University, Ufa)
M.K. Khasanov (The Sterlitamak Branch of Bashkir State University, Sterlitamak, Russia, hasanovmk@mail.ru)
Abstract The injection of a cold gas into a porous medium saturated with gas and ice that is accompanied by the formation of a gas hydrate is studied theoretically. Self-similar solutions describing the distribution of the basic parameters in the stratum are constructed for an axisymmetric problem with an extended region of phase transitions. The possible existence of four different types of solutions is indicated according to which, when cold gas is injected, it is possible that either a hydrate is formed from gas and ice on the front surface or there is hydrate formation from gas and ice in one extended region or hydrate formation both from gas and ice and gas and water in two extended regions or ice melts on the front surface and a hydrate is subsequently formed from gas and water on another front surface. Critical diagrams are constructed that distinguish the regions of existence of the different types of solutions.
Received 03 July 2014
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