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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 Issues2009-4pp.443-448

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R.M. Khafizov, I.G. Khusainov, and V.Sh. Shagapov, "Dynamics of the pressure relaxation in a "depressurized" borehole," J. Appl. Math. Mech. 73 (4), 443-448 (2009)
Year 2009 Volume 73 Issue 4 Pages 443-448
Title Dynamics of the pressure relaxation in a "depressurized" borehole
Author(s) R.M. Khafizov (Sterlitamak, Russia, kig10@mail.ru)
I.G. Khusainov (Sterlitamak, Russia)
V.Sh. Shagapov (Sterlitamak, Russia)
Abstract A problem of the pressure relaxation in a borehole after its "depressurization" is considered. An integral equation describing the evolution of the pressure in the borehole is obtained. It is shown that, by a choice of the initial bulk gas content and the height of the Impermeable part of the borehole, it is possible to obtain that the half-period of the pressure relaxation in the borehole lies within limits which are convenient for the technical realization of "depressurization". Nomograms are constructed which enable one, when the values of the borehole parameters are known, to estimate the permeability of the surrounding porous medium using the half-period of the pressure relaxation.
Received 06 November 2007
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