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Journal of Applied Mechanics and Technical Physics

2015 year, number 5

DEVELOPMENT OF COMPLEX ANALYSIS METHODS IN FILTRATION THEORY PROBLEMS

V.N. Emikh
Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
emikh@hydro.nsc.ru
Keywords: коэффициент фильтрации, критический режим, параметры конформных отображений, локальная депрессия, передислокация подвижных особых точек, линза (кайма) пресных вод, filtration coefficient, critical regime, parameters of conformal mappings, local depression, relocation of moving singular points, fresh water lens (fringe)

Abstract

This paper is a review of studies carried out on the basis of two-dimensional boundary-value problems of filtration theory. The role of critical regimes determining the specifics of filtration flows with moving boundaries is noted.