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Matematicheskoe modelirovanie, 2017, Volume 29, Number 8, Pages 17–28 (Mi mm3874)  

This article is cited in 1 scientific paper (total in 1 paper)

The research of the effect of evaporation or infiltration on the free surface groundwater and in some problems of underground hydromechanics

E. N. Bereslavskii

Saint-Petersburg State University of Civil Aviation
Full-text PDF (479 kB) Citations (1)
References:
Abstract: Two schemes of fluid flow under the rabbet of Zhukovsky are considered. Filtering is flat and steady, and the fluid flow satisfy Darcy’s law. The movement occurs through an array of ground underlain by a waterproof base or well-permeable pressure aquifer. For study evaporation and infiltration to the free surface of groundwater is formulated a mixed boundary value problem of the theory of analytic functions, which is solved by the Polubarinova-Cochina's method. In the zone of saturation algorithms for calculating the basis of these models are designed in cases where the motion of water must take into account the joint effect on the flow pattern of such important factors as backwater from the impermeable base or underlying well-permeable aquifer, evaporation or infiltration on the free surface groundwater and the capillary of ground.
Keywords: filtration, infiltration, evaporation, groundwater, free surface, tongue of Zhukovsky, Polubarinova-Cochina's method, complex velocity, conformal mappings, Fuchsian equation.
Received: 17.10.2016
English version:
Mathematical Models and Computer Simulations, 2018, Volume 10, Issue 2, Pages 145–153
DOI: https://doi.org/10.1134/S2070048218020035
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. N. Bereslavskii, “The research of the effect of evaporation or infiltration on the free surface groundwater and in some problems of underground hydromechanics”, Matem. Mod., 29:8 (2017), 17–28; Math. Models Comput. Simul., 10:2 (2018), 145–153
Citation in format AMSBIB
\Bibitem{Ber17}
\by E.~N.~Bereslavskii
\paper The research of the effect of evaporation or infiltration on the free surface groundwater and in some problems of underground hydromechanics
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 8
\pages 17--28
\mathnet{http://mi.mathnet.ru/mm3874}
\elib{https://elibrary.ru/item.asp?id=29809999}
\transl
\jour Math. Models Comput. Simul.
\yr 2018
\vol 10
\issue 2
\pages 145--153
\crossref{https://doi.org/10.1134/S2070048218020035}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044940759}
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  • https://www.mathnet.ru/eng/mm/v29/i8/p17
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:289
    Full-text PDF :77
    References:37
    First page:10
     
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