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 Issues2017-3pp.214-222

Archive of Issues

Total articles in the database: 10522
In Russian (ΟΜΜ): 9723
In English (J. Appl. Math. Mech.): 799

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Z.M. Nagaeva and V.Sh. Shagapov, "Elastic seepage in a fracture located in an oil or gas reservoir," J. Appl. Math. Mech. 81 (3), 214-222 (2017)
Year 2017 Volume 81 Issue 3 Pages 214-222
DOI 10.1016/j.jappmathmech.2017.08.013
Title Elastic seepage in a fracture located in an oil or gas reservoir
Author(s) Z.M. Nagaeva (Ufa State Petroleum Technological University, Ufa, Russia; Institute of Mechanics and Mechanical Engineering of the Kazan Scientific Centre of the Russian Academy of Sciences, Kazan, Russia; R.R. Mavlyutov Institute of Mechanics of the Ufa Scientific Centre of the Russian Academy of Sciences, Ufa, Russia, nagaeva_zilya@mail.ru)
V.Sh. Shagapov (Ufa State Petroleum Technological University, Ufa, Russia; Institute of Mechanics and Mechanical Engineering of the Kazan Scientific Centre of the Russian Academy of Sciences, Kazan, Russia; R.R. Mavlyutov Institute of Mechanics of the Ufa Scientific Centre of the Russian Academy of Sciences, Ufa, Russia, shagapov@rambler.ru)
Abstract Problems concerning the extraction of the fluid from an oil well under conditions of a constant pressure drop or a constant flow rate are considered on the basis of a model describing a seepage flow in a fracture located in an oil or gas reservoir. Exact solutions are obtained and, on the basis of these solutions, the effect of the collecting characteristics of the reservoir and the fracture is analysed as well as the effect of the rheological properties of the saturating fluid on the evolution of the pressure in the fracture, the output from the oil well and the dynamics of the pressure in the oil well.
Received 12 May 2016
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