Published: 2021-11-23

Page: 26-33


Federal State Budgetary Educational Institution of Higher Education, St. Petersburg State University of Civil Aviation, Russia.

*Author to whom correspondence should be addressed.


Abstract. Within the framework of planar steady-state filtration of incompressible fluid according to Darcy's law, an exact analytical solution of the problem of flow in a rectangular cofferdam with a screen in the presence of evaporation from the free surface of groundwater is given. The limiting cases of the considered motion - filtration in unconfined reservoir to imperfect gallery, as well as the flow in the absence of evaporation - are noted.

Keywords: Groundwater movement, rectangular jumper, filtration theory, tube well

How to Cite

BERESLAVSKY, E. N. (2021). MODELING THE MOVEMENT OF GROUNDWATER IN A RECTANGULAR JUMPER WITH A SCREEN. Asian Journal of Mathematics and Computer Research, 28(4), 26–33. Retrieved from


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Polubarinova-Kochina P Ya. Theory of groundwater movement. M: Gostekhizdat. 1952;677. 2nd edition of M: Nauka. 1977;664 с.

Numerov SN. Theory of motion of liquids and gases in a non-deformable porous medium. Moscow: Gostekhizdat. 1953;616с.

Development of studies on filtration theory in the USSR (1917-1967) / Ed. by P.Y. Polubarinova-Kochina. Moscow: Nauka. 1967;545с.

Mikhailov G.K., Nikolaevsky V.N. In: Mechanics in the USSR for 50 Years. Moscow: Nauka, 1970. Т. 2. С. 585 –648.

Polubarinova-Kochina P Ya, Pryazhinskaya VG, Emikh VN. Mathematical methods in matters of irrigation. Moscow: Nauka. 1969;414 с.

Kochina P Ya. Selected works. Hydrodynamics and Filtration Theory. Moscow: Nauka. 1991;351с.

Pryazhinskaya VG. Groundwater motion in a rectangular cofferdam with an impermeable vertical wall // Izv. Mechanics and Engineering. 1964;4: 41–49.

Polubarinova-Kochina P Ya , Postnov VA, Emikh N, Emikh VN. The steady-state filtration to an imperfect gallery in an unpressurized reservoir // Izv. MZHG. 1967;4:97–100.

Bereslavsky EN, Dudina LM. On the motion of groundwater to an imperfect gallery in the presence of evaporation from a free surface // Vestnik S.-Petersburg. Un. Series 1. Mathematics. Mechanics. Astronomy. 2017;4,4(62):654–663.

Bereslavsky EN. On some Fuchs class equations in hydro- and aeromechanics // Izv. MJG. 1992;5:3–7.

Kochina P Ya , Bereslavsky EN, Kochina NN. Analytic theory of Fuchs class linear differential equations and some problems of underground hydromechanics. Preprint No. 567. М, Institute of Mechanics Problems. Moscow: Institute for Problems of Mechanics of The Russian Academy of Sciences. 1996;1:122 .

Bereslavsky EN. On differential equations of Fuchs class encountered in some problems of mechanics of liquids and gases // Izv. MJG. 1997;5:9–17.

Bereslavsky EN. On closed form integration of some fuchs class differential equations encountered in hydro-paeromechanics // DAN. 2009;428(4)439–443.

Golubev VV. Lectures on the analytic theory of differential equations. Gostekhizdat ML. 1950;436.

Bereslavsky EN, Likhacheva NV. Mathematical modeling of filtration from canals and sprinklers // Vestnik S.-Petersburg. Un-tat. Series 10. Appl. Inform. Proce. of Control. 2012;3:10-22.

Bereslavsky EN, Dalinger JM, Dudina LM. Modeling of groundwater motion. Technical Sciences. 2020;490(1):57-62.