Geodesic
Numerical modeling of the ablation of impermeable inclusions of rocks in a flow of ground waters
Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 3, pp. 37-44 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a mathematical model for the mass transfer process from the surface of impermeable inclusions in a potential flow of water. Using the finite element method, we solve the problem describing a stationary plane flow in a porous media that includes a massif of impermeable rock. Numerical computations are carried out.
Mots-clés : diapir, filtration, ablation
Keywords: mathematical model, finite element method, numerical solutions. 
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     title = {Numerical modeling of the ablation of impermeable inclusions of rocks in a~flow of ground waters},
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N. K. Korsakova. Numerical modeling of the ablation of impermeable inclusions of rocks in a flow of ground waters. Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 3, pp. 37-44. http://geodesic.mathdoc.fr/item/SJIM_2012_15_3_a3/

[1] Bannov-Baikov Yu. L., Golovin Yu. L., Totubalin Yu. Yu., Cherepanov N. V., “Zavisimost skorosti tayaniya presnogo lda v morskoi vode ot temperatury i skorosti obtekayuschego potoka”, Trudy AANII, 417, 1989, 106–113

[2] Pisarevskaya L. A., Popov I. K., “Prostranstvennaya struktura sleda za aisbergom”, Trudy AANII, 417, 1989, 140–144

[3] Penkovskii V. I., Korsakova N. K., “Ablyatsiya nepronitsaemykh vklyuchenii v potentsialnom potoke”, Teoreticheskie i prakticheskie aspekty issledovanii prirodnykh i iskusstvennykh gazovykh gidratov, Aksaan, Yakutsk, 2011, 131–139

[4] Korsakova N. K., Penkovskii V. I., Sattarov M. A., “Matematicheskaya model protsessov ablyatsii diapirov”, Dokl. AN Respubliki Tadzhikistan. Matematika, 54:9 (2011), 724–731

[5] Sun N. Z., Yeh W. W.-G., “A proposed upstream weight numerical method for simulating pollutant transport in groundwater”, Water Resour. Res., 19:6 (1983), 1489–1500 | DOI