The Mixing of Groundwaters of Different Compositions in Cracked-Porous Media
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 3, pp. 91-96
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

The mass transfer of groundwaters of different compositions in saturated cracked-porous media has been studied for the case of one-dimensional filtration. The solubility of the porous matrix substance due to the influence of the liquid entering the medium through the cracks has been taken into account. Using the Laplace transformation, an analytical solution to the problem of determining the concentration of the solute generated during such mass transfer has been obtained. The results of the corresponding calculations for the solute concentration distribution at different time points are given.
Keywords: composition of groundwater, cracked-porous media, mass transfer
Mots-clés : pollution, solute concentration.
@article{UZKU_2012_154_3_a8,
     author = {E. V. Skvortsov and E. A. Kosterina and D. R. Akhmetshina},
     title = {The {Mixing} of {Groundwaters} of {Different} {Compositions} in {Cracked-Porous} {Media}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {91--96},
     year = {2012},
     volume = {154},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2012_154_3_a8/}
}
TY  - JOUR
AU  - E. V. Skvortsov
AU  - E. A. Kosterina
AU  - D. R. Akhmetshina
TI  - The Mixing of Groundwaters of Different Compositions in Cracked-Porous Media
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2012
SP  - 91
EP  - 96
VL  - 154
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/UZKU_2012_154_3_a8/
LA  - ru
ID  - UZKU_2012_154_3_a8
ER  - 
%0 Journal Article
%A E. V. Skvortsov
%A E. A. Kosterina
%A D. R. Akhmetshina
%T The Mixing of Groundwaters of Different Compositions in Cracked-Porous Media
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2012
%P 91-96
%V 154
%N 3
%U http://geodesic.mathdoc.fr/item/UZKU_2012_154_3_a8/
%G ru
%F UZKU_2012_154_3_a8
E. V. Skvortsov; E. A. Kosterina; D. R. Akhmetshina. The Mixing of Groundwaters of Different Compositions in Cracked-Porous Media. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 3, pp. 91-96. http://geodesic.mathdoc.fr/item/UZKU_2012_154_3_a8/

[1] Tang D. H., Frind E. O., Sudicky E. A., “Contaminant transport in fractured porous media: Analytical solution for a single fracture”, Water Resour. Res., 17:3 (1981), 555–564 | DOI

[2] Sudicky E. A., Frind E. O., “Contaminant transport in fractured porous media: Analytical solutions for a system of parallel fractures”, Water Resour. Res., 18:6 (1982), 1634–1642 | DOI

[3] Kosterin A. V., Skvortsov E. V., Khramchenkov M. G., “Massoperenos pri filtratsii rastvorov v treschinovato-poristykh sredakh”, Inzh.-fiz. zhurn., 61:6 (1991), 971–975

[4] Khramchenkov M. G., Tochnye resheniya nekotorykh zadach podzemnogo massoperenosa, Kazan. matem. o-vo, Kazan, 2005, 126 pp.

[5] Mironenko V. A., Rumynin V. G., Opytno-migratsionnye raboty v vodonosnykh plastakh, Nedra, M., 1986, 240 pp.

[6] Romm E. S., Strukturnye modeli porovogo prostranstva gornykh porod, Nedra, L., 1985, 240 pp.

[7] Verigin N. N., Sherzhukov B. S., “Diffuziya i massoobmen pri filtratsii zhidkosti v poristykh sredakh”, Razvitie issledovanii po teorii filtratsii v SSSR, Nauka, M., 1969, 237–313

[8] Piteva K. E., Gidrogeokhimiya, Izd-vo Mosk. un-ta, M., 1988, 315 pp.

[9] Karslou G., Eger D., Teploprovodnost tverdykh tel, Nauka, M., 1964, 488 pp.

[10] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1977, 742 pp.

[11] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Fizmatgiz, M., 1962, 1100 pp.