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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2003 Volume 44, Issue 1, Pages 83–94 (Mi pmtf2461)

Liquid filtration in an unbounded water-bearing stratum with an inclined confining bed

E. V. Gubkinaa, V. N. Monakhovb

a Gorno-Altaisk State University, Gorno-Altaisk, 659700
b Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090

Abstract: Polubarinova-Kochina, Numerov, and other authors paid much attention to filtration problems of a heavy incompressible liquid in inclined water-bearing strata. In this work, therefore, classical schemes of liquid filtration on inclined confining beds are considered along with the general problem of filtration for arbitrary polygonal impermeable walls of a water-bearing stratum. In doing so, we also consider direct problems of physical and geometrical parameters of filtration flows.

Keywords: liquid filtration, analytical function, a priori estimates, solvability, local uniqueness.

UDC: 517.958.532

Received: 17.04.2002
Accepted: 14.06.2002


 English version:
Journal of Applied Mechanics and Technical Physics, 2003, 44:1, 69–78

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