This article is cited 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

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.

UDC: 532.546

Received: October 12, 2016
Accepted: April 11, 2017

DOI: 10.21638/11701/spbu10.2017.201

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