Abstract
The results of an earlier study [1] are used to consider the motion of underground water flowing from an irrigation channel. The surface of the ground flow usually has an uneven shape, since in some sections there is stripwise irrigation, while at others evaporation may occur or rain may fall. The variations of the water level in the channel are assumed known. The subsequent variation of the ground water level is determined. If the level rises appreciably there can be salinization or swamped ground can form.
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S. Ts. Koprinsky, “Operators of the field of Mikusinski, related with the general heat equation with constant coefficients and polynomial boundary conditions” [in Bulgarian], University Annual, Applied Mathematics, Vol. 13, Book 3, Sofia (1977), p. 139.
P. Ya. Polubarinova-Kochina, Theory of the Motion of Ground Water [in Russian], Nauka, Moscow (1977).
S. Ts. Koprinsky, “Application of the Laplace transformation to solve the general heat equation with piece-wise polynomial boundary conditions of first, second and third kind” [in Bulgarian], Annuaire des ecoles tecniques superieures, Mathematique, Vol. 9, Book 1, Sofia (1973), p. 113.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 130–137, May–June, 1988.
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Koprinsky, S.T. Some cases of unsteady flow in porous media associated with irrigation. Fluid Dyn 23, 430–436 (1988). https://doi.org/10.1007/BF01054753
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DOI: https://doi.org/10.1007/BF01054753