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Matematicheskoe modelirovanie, 2017, Volume 29, Number 4, Pages 59–74 (Mi mm3837)  
This article is cited in 2 scientific papers (total in 2 papers)

Self-similar solution of hydraulic fracture problem for poroelastic medium

A. V. Karakinab, M. M. Ramazanovbc, V. E. Borisovb, I. S. Men'shovb, E. B. Savenkovb

a Oil and Gas Research Institute RAS
b Keldysh Institute of Applied Mathematics RAS
c Institute for Geothermal Problems of the Dagestan Scientific Center RAS
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Abstract: In the paper we present solution of coupled hydraulic fracture problem in view of deformation of poroelastic medium and porous media flow. The formation of crack and its growth are influenced by Newtonian fluid pumped through well. Solution self-similar sets are constructed. These solutions are used to describe the evolution of a penny shaped crack in poroelastic medium with a uniform pressure inside within the fracture. The present paper is part of a series of publications on hydraulic fracturing, which are based on the splitting of the original equations to components in accordance with an incomplete coupling principle.
Keywords: hydraulic fracture problem, poroelastic medium, incomplete coupling principle, selfsimilar solution.
Funding agency Grant number
Russian Science Foundation 15-11-00021
Received: 16.05.2016
English version:
Mathematical Models and Computer Simulations, 2017, Volume 9, Issue 6, Pages 657–668
DOI: https://doi.org/10.1134/S2070048217060060
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Karakin, M. M. Ramazanov, V. E. Borisov, I. S. Men'shov, E. B. Savenkov, “Self-similar solution of hydraulic fracture problem for poroelastic medium”, Matem. Mod., 29:4 (2017), 59–74; Math. Models Comput. Simul., 9:6 (2017), 657–668
Citation in format AMSBIB
\Bibitem{KarRamBor17}
\by A.~V.~Karakin, M.~M.~Ramazanov, V.~E.~Borisov, I.~S.~Men'shov, E.~B.~Savenkov
\paper Self-similar solution of hydraulic fracture problem for poroelastic medium
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 4
\pages 59--74
\mathnet{http://mi.mathnet.ru/mm3837}
\elib{https://elibrary.ru/item.asp?id=28938061}
\transl
\jour Math. Models Comput. Simul.
\yr 2017
\vol 9
\issue 6
\pages 657--668
\crossref{https://doi.org/10.1134/S2070048217060060}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85035052171}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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