Abstract
Within the framework of the theory of plane steady filtration of an incompressible fluid according to Darcy’s law, two limiting schemes modeling the filtration flows under the Joukowski tongue through a soil massif spread over an impermeable foundation or strongly permeable confined water-bearing horizon are considered.
Similar content being viewed by others
References
N. E. Joukowski, Infiltration of Water through Dams. Collected Works (Gostekhizdat, Moscow, 1950), Vol. 7, [in Russian].
P. Ya. Polubarinova-Kochina, Theory of Motion of Soil Waters (Gostekhizdat, Moscow, 1952; Nauka, Moscow, 1977) [in Russian].
Development of Investigations on the Theory of Filtration in the USSR (1917–1967), Ed. by P. Ya.PolubarinovaKochina (Nauka, Moscow, 1967) [in Russian].
P. Ya. Kochina, E. N. Bereslavskii, and N. N. Kochina, Analytical Theory of Linear Differential Equations of the Fuks Class and Certain Problems of Underground Hydromechanics. Preprint. No. 567 (In-t Problems of Mechanics of the RAS, Moscow, 1996), Part 1 [in Russian].
E. N. Bereslavskii and P. Ya. Kochina, Izv. Rus. Akad. Nauk. Mekh. Zhidk. Gaza, No. 5, 3 (1992).
E. N. Bereslavskii and P. Ya. Kochina, Izv. Rus. Akad. Nauk. Mekh. Zhidk. Gaza, No. 5, 9 (1997).
V. V. Golubev, Lectures on Analytical Theory of Differential Equations (Gostekhizdat, Moscow, 1950) [in Russian].
E. N. Bereslavskii, Prikl. Mat. Mekh. 53 (3), 455 (1989).
E. N. Bereslavskii, Prikl. Mat. Mekh. 54 (5), 867 (1990).
E. N. Bereslavskii, Dokl. Phys. 43 (12), 775 (1998).
V. V. Vedernikov, Dokl. Akad. Nauk SSSR 23 (4), 335 (1939).
V. V. Vedernikov, Dokl. Akad. Nauk SSSR 59 (6), 1069 (1948).
V. V. Vedernikov, Dokl. Akad. Nauk SSSR 69 (5), 619 (1949).
F. B. Nel’son-Skornyakov, Izv. Akad. Nauk USSR, Otd. Tekh. Nauk, No. 1, 126 (1941).
F. B. Nel’son-Skornyakov, Izv. Akad. Nauk USSR. Otd. Tekh. Nauk, No. 3, 39 (1941).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © E.N. Bereslavskii, 2016, published in Doklady Akademii Nauk, 2016, Vol. 468, No. 4, pp. 395–400.
Rights and permissions
About this article
Cite this article
Bereslavskii, E.N. Effect of evaporation or infiltration on the free surface of groundwater in certain problems of underground hydromechanics. Dokl. Phys. 61, 279–284 (2016). https://doi.org/10.1134/S1028335816060033
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1028335816060033