Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2017, Volume 13, Issue 2, Pages 124–137
DOI: https://doi.org/10.21638/11701/spbu10.2017.201
(Mi vspui327)
 

This article is cited in 3 scientific papers (total in 3 papers)

Applied mathematics

Modeling the movement of groundwater from the pits, surrounded with piles of Zhukovsky

E. N. Bereslavskii

St. Petersburg State Civil Aviation University, 38, Pilotov ul., St. Petersburg, 196210, Russian Federation
Full-text PDF (500 kB) Citations (3)
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Abstract: In the hydrodynamic context the filtration of liquids out of foundation pits walled with Zhukovsky grooves is considered. The fluid moves through a layer of soil underlain by a well-permeable pressure aquifer, which is contained in an impermeable area on the covering. For study the infiltration to the free groundwater surface is formulated with a mixed multi-parameter boundary value problem of the theory of analytic function solved by the Polubarinova–Cochina method and other specially designed methods of configuring mapping areas typical for the analysis of underground hydromechanics. Refs 24. Figs 4. Table 1.
Keywords: filtering, infiltration, ground water, ditch, rabbet of Zhukovsky, method Polubarinova–Kochina, Fuchs differential equations, complex flow velocity, conformal mappings.
Received: October 12, 2016
Accepted: April 11, 2017
Bibliographic databases:
Document Type: Article
UDC: 532.546
Language: Russian
Citation: E. N. Bereslavskii, “Modeling the movement of groundwater from the pits, surrounded with piles of Zhukovsky”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 13:2 (2017), 124–137
Citation in format AMSBIB
\Bibitem{Ber17}
\by E.~N.~Bereslavskii
\paper Modeling the movement of groundwater from the pits, surrounded with piles of Zhukovsky
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2017
\vol 13
\issue 2
\pages 124--137
\mathnet{http://mi.mathnet.ru/vspui327}
\crossref{https://doi.org/10.21638/11701/spbu10.2017.201}
\elib{https://elibrary.ru/item.asp?id=29816736}
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  • https://www.mathnet.ru/eng/vspui/v13/i2/p124
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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    Abstract page:157
    Full-text PDF :20
    References:28
    First page:5
     
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