Structural analysis of filtration flows with horizontal drainage
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 4, pp. 122-134 Cet article a éte moissonné depuis la source Math-Net.Ru

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The author's approaches to investigation of structure and behavioral patterns of filtration flows towards horizontal drains with one or two unknown mobile flow boundaries are expounded and illustrated by numerical computations. Mathematical models of such flows are represented by yet unexplored two-dimensional multiparametric boundary-value problems of the analytical function theory.
Mots-clés : horizontal drainage, hydrodynamical net.
Keywords: local depression, free surface, separating surface, critical conditions, mapping parameters
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V. N. Emikh. Structural analysis of filtration flows with horizontal drainage. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 4, pp. 122-134. http://geodesic.mathdoc.fr/item/UZKU_2011_153_4_a11/

[1] Zhukovskii N. E., “Teoreticheskoe issledovanie o dvizhenii podpochvennykh vod”: Zhukovskii N. E., Polnoe sobranie sochinenii, v 10 t., v. 3, Gostekhteorizdat, M., 1949, 184–206

[2] Zhukovskii N. E., “Prosachivanie vody cherez plotiny”: Zhukovskii N. E., Polnoe sobranie sochinenii, v 10 t., v. 7, Gostekhteorizdat, M., 1950, 297–332

[3] Emikh V. N., “Reshenie zadachi o ploskoi ustanovivsheisya filtratsii pri drenazhnykh promyvkakh pochv s nepronitsaemym osnovaniem”, Dokl. AN SSSR, 220:6 (1975), 1289–1292 | Zbl

[4] Vedernikov V. V., Teoriya filtratsii i ee primenenie v oblasti irrigatsii i drenazha, Gosstroiizdat, M.–L., 1939, 247 pp.

[5] Degtyarev B. M., Kalantaev V. A., Vakuumnyi drenazh na oroshaemykh zemlyakh, Kolos, M., 1978, 94 pp.

[6] Emikh V. N., “O neskolkikh gidrodinamicheskikh modelyakh drenazha”, Prikl. matem. i mekhanika, 43:6 (1979), 1046–1057 | Zbl

[7] Emikh V. N., Gidrodinamika filtratsionnykh techenii s drenazhem, Nauka, Novosibirsk, 1993, 213 pp. | MR

[8] Emikh V. N., “Drenazh v potoke gruntovykh vod cherez zavesu”, Prikl. mekhanika i tekhn. fizika, 43:4 (2002), 106–114 | MR

[9] Emikh V. N., “Analiz dvumernoi ustanovivsheisya filtratsii v pochvennom sloe s silnopronitsaemym osnovaniem”, Prikl. matem. i mekhanika, 46:5 (1982), 857–868

[10] Polubarinova-Kochina P. Ya., “O linze presnoi vody nad solenoi vodoi”, Prikl. matem. i mekhanika, 20:3 (1956), 418–420

[11] Emikh V. N., “Kraevaya zadacha o dreniruemoi kaime presnykh vod i ee prilozheniya”, Prikl. matem. i mekhanika, 60:3 (1996), 494–504 | MR

[12] Kapranov Yu. I., Emikh V. N., “Kraevaya zadacha o drenazhe v infiltratsionnoi kaime presnykh gruntovykh vod nad solenymi”, Prikl. mekhanika i tekhn. fizika, 45:5 (2004), 79–93 | MR | Zbl

[13] Polubarinova-Kochina P. Ya., Teoriya dvizheniya gruntovykh vod, Nauka, M., 1977, 664 pp. | MR

[14] Kapranov Yu. I., Emikh V. N., “Pritok nefti k gorizontalnoi skvazhine pri nalichii podoshvennoi vody”, Prikl. mekhanika i tekhn. fizika, 49:5 (2008), 114–126 | MR

[15] Emikh V. N., “Filtratsiya nefti k skvazhine pri nalichii v plaste inykh zhidkostei”, Dokl. RAN, 435:2 (2010), 199–204

[16] Bulirsch R., “Numerical calculation of elliptic integrals and elliptic functions”, Num. Math., 7:1 (1965), 78–90 ; Num. Math., 7:4 (1965), 353–354 ; Num. Math., 13:4 (1969), 305–315 | DOI | MR | Zbl | DOI | MR | Zbl | DOI | MR | Zbl