Geodesic
About numerical simulation of oil extraction process
Matematičeskoe modelirovanie, Tome 23 (2011) no. 1, pp. 19-28 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We considered the problems of computational modeling of oilfield geological structure and the simulation of oil extraction process. The paper describes the mathematical model of non-steady displacement of non-Newtonian oil by water in essentially inhomogeneous bed tapped by a system of injecting and operating wells. It presents the algorithms of numerical analysis of corre-sponding boundary-value problems. The features of the model have been keyed in user-friendly software. The capabilities of the software are illustrated through the calculation of several typical problems of oil displacement by water.
Keywords: numerical simulation, non-steady displacement of non-Newtonian oil by water, inhomogeneous porous media. 
@article{MM_2011_23_1_a1,
     author = {V. V. Vidyakin and V. M. Volkov and D. N. Voronkov and V. A. Galaktionov and A. A. Klevchenya and D. E. Shevchenko},
     title = {About numerical simulation of oil extraction process},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {19--28},
     year = {2011},
     volume = {23},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2011_23_1_a1/}
}
TY  - JOUR
AU  - V. V. Vidyakin
AU  - V. M. Volkov
AU  - D. N. Voronkov
AU  - V. A. Galaktionov
AU  - A. A. Klevchenya
AU  - D. E. Shevchenko
TI  - About numerical simulation of oil extraction process
JO  - Matematičeskoe modelirovanie
PY  - 2011
SP  - 19
EP  - 28
VL  - 23
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MM_2011_23_1_a1/
LA  - ru
ID  - MM_2011_23_1_a1
ER  - 
%0 Journal Article
%A V. V. Vidyakin
%A V. M. Volkov
%A D. N. Voronkov
%A V. A. Galaktionov
%A A. A. Klevchenya
%A D. E. Shevchenko
%T About numerical simulation of oil extraction process
%J Matematičeskoe modelirovanie
%D 2011
%P 19-28
%V 23
%N 1
%U http://geodesic.mathdoc.fr/item/MM_2011_23_1_a1/
%G ru
%F MM_2011_23_1_a1
V. V. Vidyakin; V. M. Volkov; D. N. Voronkov; V. A. Galaktionov; A. A. Klevchenya; D. E. Shevchenko. About numerical simulation of oil extraction process. Matematičeskoe modelirovanie, Tome 23 (2011) no. 1, pp. 19-28. http://geodesic.mathdoc.fr/item/MM_2011_23_1_a1/

[1] Zakrevskii K. E., Geologicheskoe 3D modelirovanie, OOO IPTs “Maska”, M., 2009

[2] Bulygin D. V., Medvedev N. Ya., Kipot V. L., Modelirovanie geologicheskogo stroeniya i razrabotki zalezhei nefti Surgutskogo svoda, DAS, Kazan, 2001

[3] Barenblatt G. I., Entov V. M., Ryzhik V. M., Dvizhenie zhidkostei i gazov v prirodnykh plastakh, Nedra, M., 1984

[4] Krichlou G. B., Sovremennaya razrabotka neftyanykh mestorozhdenii – problemy modelirovaniya, Nedra, M., 1979

[5] Klevchenya A. A., Taranchuk V. B., “O nekotorykh chislennykh resheniyakh zadach vytesneniya nenyutonovskoi nefti vodoi”, Chislennye metody resheniya zadach filtratsii mnogofaznoi neszhimaemoi zhidkosti, ITPM SO AN SSSR, Novosibirsk, 1980, 123–129

[6] Abrashin V. N., “Mnogokomponentnye iteratsionnye metody peremennykh napravlenii”, Matematicheskoe modelirovanie, 12:2 (2000), 45–58 | MR | Zbl

[7] Abrashin V. N., Egorov A. A., Zhadaeva N. G., “O skorosti skhodimosti additivnykh iteratsionnykh metodov”, Differentsialnye uravneniya, 37:7 (2001), 867–879 | MR | Zbl

[8] Vidyakin V. V., Volkov V. M., Voronkov D. N., Galaktionov V. A., Klevchenya A. A., Shevchenko D. E., Kompyuternoe modelirovanie geologicheskogo stroeniya i protsessa razrabotki neftyanogo mestorozhdeniya, Preprint No 56, IPM im. M. V. Keldysha RAN, 2009

[9] Vidyakin V. V., Klevchenya A. A., Konovalov O. L., Volkov V. M., “Numerical simulation of 3D non-steady displacement of oil by water”, Environmental Issues and Waste Management in Energy and Mineral Production, Rotterdam, 1998, 419–422

[10] Danilov V. L., Kats R. M., Gidrodinamicheskie raschety vzaimnogo vytesneniya zhidkosti v poristoi srede, Nauka, M., 1980

[11] Bernadiner M. G., Entov V. M., Gidrodinamicheskaya teoriya filtratsii anomalnykh zhidkostei, Nauka, M., 1975