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Matem. Mod., 2013, Volume 25, Number 3, Pages 134–148 (Mi mm3347)  

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

About calculation of some schemes of the filtration from channels and sprinklers

E. N. Bereslavskii, N. V. Likhacheva

GOUVPO ``Saint-Petersburg State University of Civil Aviation''

Abstract: We consider several schemes of seepage flows from canals and irrigation canals of irrigation systems through the soil layer, underlain good underlying permeable confined aquifer or water-resistant base. For their study and formulated using the method of P. Y. Kochina-Polubarinova solved multivariable mixed boundary value problems of the theory of analytic functions. On the basis of these models are developed algorithms for calculating the size of the saturated zone in situations when the filter has to evaluate the combined effect of the painting movement of such important factors as seepage back pressure from the underlying confined aquifer or an impermeable base, cross-sectional shape and channel the power supply level of water in it , capillarity of the soil and evaporation from the free surface of groundwater. The results of calculations for all the schemes are compared with the same filtration filter parameters depending on the shape of the channel as a power source (canal or irrigation), and the type of foundation soil layer (strongl permeable confined aquifer or aquitard).

Keywords: filtering, channel, irrigation, soil capillarity, pressure, evaporation, infiltration, free surface, the complex flow velocity, method Polubarinova-Kochina, conformal mapping.

Full text: PDF file (365 kB)
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UDC: 532.546
Received: 09.11.2011

Citation: E. N. Bereslavskii, N. V. Likhacheva, “About calculation of some schemes of the filtration from channels and sprinklers”, Matem. Mod., 25:3 (2013), 134–148

Citation in format AMSBIB
\Bibitem{BerLik13}
\by E.~N.~Bereslavskii, N.~V.~Likhacheva
\paper About calculation of some schemes of the filtration from channels and sprinklers
\jour Matem. Mod.
\yr 2013
\vol 25
\issue 3
\pages 134--148
\mathnet{http://mi.mathnet.ru/mm3347}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. E. N. Bereslavskii, E. V. Pesterev, “O dvukh predelnykh modelyakh, voznikayuschikh v zadache Zhukovskogo ob obtekanii shpunta”, Vestn. S.-Peterburg. un-ta. Ser. 10. Prikl. matem. Inform. Prots. upr., 2015, no. 3, 21–33  mathnet  elib
    2. 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
    3. E. N. Bereslavskii, L. M. Dudina, “O dvizhenii gruntovykh vod k nesovershennoi galeree pri nalichii ispareniya so svobodnoi poverkhnosti”, Matem. modelirovanie, 30:2 (2018), 99–109  mathnet  elib
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