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Matematicheskoe modelirovanie, 2011, Volume 23, Number 2, Pages 27–40 (Mi mm3071)  

This article is cited in 6 scientific papers (total in 6 papers)

About a mode of ground waters at a seepage under hydraulic engineering structures

E. N. Bereslavskiy, L. A. Aleksandrova, E. V. Pesterev

Saint-Petersburg State University of Civil Aviation
Full-text PDF (495 kB) Citations (6)
References:
Abstract: The present work is direct continuation of paper of authors [1]. In it on the basis of the theory of the flat established seepage of an incompressible liquid under Darcy law in a uniform and isotropic ground the following tasks linked to filtration currents with unknown borders under hydraulic engineering structures are considered.
1. The smooth underground contour of subsurface rectangular locks of a constant velocity of filtration in that case when the water-permeable basis is spread by a water thrust which consists of two curvilinear and one (average) horizontal sites (a characterize constancy of velocity of a flow) is plotted.
2. The fluid current under a rabbet Zhukovsky through irrigated soil a file with the underlaying very nontight water-bearing horizon containing pressure head underground waters is probed; the left semi-infinite part of its roof is modeled by impenetrable initialization.
For study of these movements the mixed multiparameter boundary value problems of the theory of analytical functions are formulated. Their decision is realized by means of a semiinverse way of a hodograph of velocity of P. J. Polubarinova-Kochina and I. N. Kochina, P. J. Polubarinova-Kochina (grounded on application of the analytical theory of the linear differential equations of Fuchs class) method, and also the developed ways of conformal mapping of areas of a special kind which are characteristic for tasks of an underground hydromechanics.
Results of numerical calculations are cited, and the hydrodynamic analysis of effect of physical parameters of models on a picture of currents is given. The limiting cases of these tasks probed earlier in work [1] are marked.
Keywords: filtering, groundwater, dam, groove, velocity hodograph, conformal mappings.
Received: 27.05.2010
English version:
Mathematical Models and Computer Simulations, 2011, Volume 3, Issue 5, Pages 619–628
DOI: https://doi.org/10.1134/S2070048211050061
Bibliographic databases:
Document Type: Article
UDC: 532.546
Language: Russian
Citation: E. N. Bereslavskiy, L. A. Aleksandrova, E. V. Pesterev, “About a mode of ground waters at a seepage under hydraulic engineering structures”, Mat. Model., 23:2 (2011), 27–40; Math. Models Comput. Simul., 3:5 (2011), 619–628
Citation in format AMSBIB
\Bibitem{BerAlePes11}
\by E.~N.~Bereslavskiy, L.~A.~Aleksandrova, E.~V.~Pesterev
\paper About a~mode of ground waters at a~seepage under hydraulic engineering structures
\jour Mat. Model.
\yr 2011
\vol 23
\issue 2
\pages 27--40
\mathnet{http://mi.mathnet.ru/mm3071}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 5
\pages 619--628
\crossref{https://doi.org/10.1134/S2070048211050061}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928984380}
Linking options:
  • https://www.mathnet.ru/eng/mm3071
  • https://www.mathnet.ru/eng/mm/v23/i2/p27
  • This publication is cited in the following 6 articles:
    1. A. B. Bogatyrev, O. A. Grigor'ev, “Filtration under a Stepped Dam and Riemann Theta Functions”, Proc. Steklov Inst. Math., 311 (2020), 10–21  mathnet  crossref  crossref  mathscinet  isi  elib
    2. Shao B., Wang Sh., Tian R., Qiao Zh., Chen Yu., Sun Q., “Fsp-Ddf Coupling Model of Lbm For the Fluid Flow and Heat Transfer in Porous Media”, Appl. Therm. Eng., 157 (2019), UNSP 113698  crossref  isi  scopus
    3. E. N. Bereslavskii, “The research of the effect of evaporation or infiltration on the free surface groundwater and in some problems of underground hydromechanics”, Math. Models Comput. Simul., 10:2 (2018), 145–153  mathnet  crossref  elib
    4. E. N. Bereslavskii, “Issledovanie izmeneniya oblasti kompleksnoi skorosti v nekotorykh zadachakh teorii filtratsii”, Matem. modelirovanie, 28:1 (2016), 33–46  mathnet  elib
    5. E. N. Bereslavskii, E. V. Pesterev, “O nekotorykh modelyakh techeniya zhidkosti iz stroitelnykh kotlovanov”, Matem. modelirovanie, 26:12 (2014), 81–96  mathnet  elib
    6. E. N. Bereslavskii, “Calculation of seepage attached to the flow round the Zhukovsky rabbet with the more than once sheeted area of complex velocity”, Math. Models Comput. Simul., 4:2 (2012), 229–235  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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