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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2017, Volume 58, Issue 5, Pages 121–130
DOI: https://doi.org/10.15372/PMTF20170512 (Mi pmtf665) 		 
This article is cited in 16 scientific papers (total in 16 papers)

On the theory of filtration waves of pressure in a crack in a porous permeable medium

V. Sh. Shagapovab, Z. M. Nagaevac

a Institute of Mechanics and Engineering, Kazan Scientific Center, Russian Academy of Sciences, Kazan, 420111, Russia
b Mavlyutov Institute of Mechanics, Ufa Scientific Center, Russian Academy of Sciences, Ufa, 450054, Russia
c Ufa State Oil Technical University, Ufa, 450062, Russia
Full-text PDF (403 kB) Citations (16)
DOI: https://doi.org/10.15372/PMTF20170512
Abstract: Pressure filtration waves in cracks in porous permeable medium are studied. The effect of the porosity and permeability of the formation and crack, the crack width, and the rheological properties of the saturating fluid on the dynamics of perturbations in the crack are studied. It is shown that in a porous permeable formation, a crack is a wave channel through which low-frequency pressure fluctuations in wells propagate. Accurate solutions are obtained which describe the evolution of pressure fields in a crack with an instantaneous pressure change in the well by a constant value. Based on these solutions, the corresponding dependences of the fluid flow on time and the pressure at the boundaries are determined.
Keywords: fracturing, crack, pressure waves, integrodifferential equation, variance analysis.
Funding agency Grant number
Russian Science Foundation 15-11-20022
Received: 25.03.2016
Revised: 21.09.2016
English version:
Journal of Applied Mechanics and Technical Physics, 2017, Volume 58, Issue 5, Pages 862–870
DOI: https://doi.org/10.1134/S0021894417050121
Bibliographic databases:
Document Type: Article
UDC: 532.546
Language: Russian
Citation: V. Sh. Shagapov, Z. M. Nagaeva, “On the theory of filtration waves of pressure in a crack in a porous permeable medium”, Prikl. Mekh. Tekh. Fiz., 58:5 (2017), 121–130; J. Appl. Mech. Tech. Phys., 58:5 (2017), 862–870
Citation in format AMSBIB
\Bibitem{ShaNag17}
\by V.~Sh.~Shagapov, Z.~M.~Nagaeva
\paper On the theory of filtration waves of pressure in a crack in a porous permeable medium
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2017
\vol 58
\issue 5
\pages 121--130
\mathnet{http://mi.mathnet.ru/pmtf665}
\crossref{https://doi.org/10.15372/PMTF20170512}
\elib{https://elibrary.ru/item.asp?id=30295639}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2017
\vol 58
\issue 5
\pages 862--870
\crossref{https://doi.org/10.1134/S0021894417050121}
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  • https://www.mathnet.ru/eng/pmtf/v58/i5/p121
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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