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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2016, Volume 158, Book 2, Pages 262–275 (Mi uzku1367)  

This article is cited in 2 scientific papers (total in 2 papers)

The filtration consolidation of an elastic porous medium with discontinuous initial conditions

F. M. Kadyrov, A. V. Kosterin

Kazan Federal University, Kazan, 420008 Russia

Abstract: The problem of finding the initial conditions of consolidation for an elastic medium is solved in a general way; the Laplace equation is obtained for the water pressure. The problem of filtration consolidation for an infinite porous tube with circular symmetry is solved taking into account the found initial conditions: a solution for the pressure is described by the diffusion equation. If there is no “hole” at the origin of coordinates, then the water pressure becomes infinitely large.

Keywords: theory of filtration consolidation, initial conditions, elastic porous medium, load, pressure.

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Bibliographic databases:
UDC: 624.131.526+532.546
Received: 06.07.2015

Citation: F. M. Kadyrov, A. V. Kosterin, “The filtration consolidation of an elastic porous medium with discontinuous initial conditions”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 158, no. 2, Kazan University, Kazan, 2016, 262–275

Citation in format AMSBIB
\Bibitem{KadKos16}
\by F.~M.~Kadyrov, A.~V.~Kosterin
\paper The filtration consolidation of an elastic porous medium with discontinuous initial conditions
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2016
\vol 158
\issue 2
\pages 262--275
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1367}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3545715}
\elib{https://elibrary.ru/item.asp?id=26416803}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. E. A. Mikishanina, A. G. Terentev, “Ob opredelenii napryazhennogo sostoyaniya uprugo-poristoi sredy”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 159, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2017, 204–215  mathnet  elib
    2. E. A. Mikishanina, “Issledovanie koeffitsienta filtratsii uprugo-poristoi sredy pri ploskoi deformatsii”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 29:3 (2019), 396–407  mathnet  crossref
  • Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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