Abstract
A two-dimensional model of a steady-state fresh water lens, formed above saline water as a result of mole irrigation, is investigated in the hydrodynamic formulation [1]. The corresponding boundaryvalue problem is solved by means of Kochina's method [1] based on the use of the analytical theory of linear differential equations. The results of numerical calculations are presented and the effect of the model parameters on the shape and size of the lens is analyzed.
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P. Ya. Polubarinova-Kochina, Theory of Motion of Ground Waters [in Russian], Nauka, Moscow (1977).
V. V. Golubev, Lectures on the Analytical Theory of Differential Equations [in Russian], Gostekhizdat, Moscow (1950).
B. K. Rizenkampf, “Ground water hydraulics,” Uch. Zap. Sarat. Univ.,15, 3 (1940).
N. K. Kalinin, “On Kochina's method of solving problems relating to the motion of ground water,” Dokl. Akad. Nauk SSSR,45, 110 (1944).
É. N. Bereslavskii, “A case of conformal mapping of circular quadrangles with a branch cut,” Izv. Vyssh. Uchebn. Zaved. Matematika, No. 4, 11 (1987).
V. N. Émikh, “Shape of a fresh water lens resulting from seepage from a channel,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 115 (1966).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 102–106, July–August, 1990.
The authors are grateful to V. M. Entov and A. R. Tsitskishvili for advice and comments.
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Bereslavskii, É.N., Panasenko, L.A. Fresh water lenses formed by seepage from irrigation channels. Fluid Dyn 25, 580–584 (1990). https://doi.org/10.1007/BF01049866
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DOI: https://doi.org/10.1007/BF01049866