Abstract
Consideration is given to the two-dimensional (in the vertical plane) steady-state flow of fresh groundwater in a semiinfinite pressure water-bearing layer to a saltwater sea the littoral part of the zone of whose floor makes an arbitrary angle with the horizon. An algorithm of calculation of the intrusion (i.e., penetration) of seawater into the littoral freshwater strata has been developed based on this model. A hydrodynamic analysis of the structure and characteristic features of the process modeled is given using the exact analytical dependences obtained with the P. Ya. Polubarinova-Kochina method; the influence of each determining physical parameter of the model and of the angle of inclination of the littoral part of the sea-floor zone on the degree of intrusion has been evaluated.
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References
J. Bear, D. Zaslavskii, and S. Irmay, Physical Principles of Water Percolation and Seepage [Russian translation], Mir, Moscow (1971).
P. Ya. Polubarinova-Kochina, On the lens of freshwater over saltwater, Prikl. Mat. Mekh., 20, Issue 3, 418–420 (1956).
G. K. Mikhailov, Rigorous solution of the problem of groundwater outflow from a horizontal bed into a basin with a heavier liquid, Dokl. Akad. Nauk SSSR, 110, No. 6, 945–948 (1956).
É. N. Bereslavskii, Investigation of the pressing-out of a stream in some flows in littoral water bearing beds, Prikl. Mat. Mekh., 67, Issue 5, 836–848 (2003).
É. N. Bereslavskii, On calculation of the filtration of groundwater in littoral confined beds, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 3, 101–110 (2004).
É. N. Bereslavskii, Mathematical simulation of the intrusion of seawater into littoral freshwater horizons, Dokl. Ross. Akad. Nauk, 399, No. 5, 625–629 (2004).
É. N. Bereslavskii, Mathematical modeling of the intrusion of seawater into littoral freshwater horizons, Inzh.-Fiz. Zh., 79, No. 5, 126–134 (2005).
P. Ya. Polubarinova-Kochina, Theory of Groundwater Motion [in Russian], 2nd edn., Nauka, Moscow (1997).
V. V. Golubev, Lectures on the Analytical Theory of Differential Equations [in Russian], Gostekhizdat, Moscow-Leningrad (1950).
P. Ya. Polubarinova-Kochina, On filtration in an anisotropic ground, Prikl. Mat. Mekh., 4, Issue 2, 101–104 (1940).
P. Ya. Polubarinova-Kochina, Some Problems of Plane Motion of Groundwater [in Russian], Izd. AN SSSR, Moscow-Leningrad (1942).
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Nauka, Moscow (1971).
H. Bateman and A. Erdélyi, Higher Transcendental Functions. Hypergeometric Function. Legendre Function [Russian translation], Nauka, Moscow (1973).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 79, No. 6, pp. 141–148, November–December, 2006.
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Bereslavskii, É.N. Influence of the inclination of the sea floor (slope) on intrusion in littoral zones. J Eng Phys Thermophys 79, 1193–1201 (2006). https://doi.org/10.1007/s10891-006-0222-y
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DOI: https://doi.org/10.1007/s10891-006-0222-y