Volume no :48, Issue no: 1, November (2017)

APPLICATION OF METHOD OF POLUBARINOVA-KOCHINA FOR RESEARCH OF GROUNDWATER MOTION FROM DITCHESFENCES TONGUE ZHUKOVSKY

Author's: E. N. Bereslavskii
Pages: [65] - [87]
Received Date: January 27, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121764

Abstract

In the hydrodynamic statement the filtration low from ditches, walled tongues of Zhukovsky is considered. The fluid moves through the layer of soil, underlain by a well-permeable pressure aquifer, which is contained waterproof area on the roof. For study the infiltration to the free surface of groundwater is formulated a mixed multi-parameter boundary value problem of the theory of analytic function, which is solved by the Polubarinova-Kochina’s method and ways the conformal mapping areas of a special kind, which are characteristic for tasks of an underground hydromechanics.

Keywords

filtration, infiltration, groundwater aquifers, ditch, tongue of Zhukovsky, Polubarinova-Kochina’s method, Fuchs differential equations, complex flow velocity, conformal mappings.