Geodesic
Manifestation of nonlinear filtration effects in low permeablimitility reservoirs at variable modes of well functioning
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2016), pp. 102-114 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

According to the earlier theoretical model of filtration with a limiting gradient of pressure, indicator dependencies under variable modes of well-functioning are studied. On the basis of numerical simulation of the well operation, the possibility of revealing non-linear effects of the filtration law under the reservoir conditions is analyzed. For example, considering the curves of well production redistribution during transient conditions of the well operation, one can identify possible non-linear effects of filtration and see the manifestation of the limiting pressure gradient q. The presence of the limiting pressure gradient significantly affects the nature of the filtering process. The manifestation of the limiting pressure gradient q can be seen by the intensity of the well production rate decrease with time. When the filtration occurs by the linear law, the intensity of the flow rate decrease is insignificant and, to a due time, takes a constant value. Due to the manifestation of nonlinear filtering effects, a decrease in the fluid production rate of the well is observed as compared to the case of the linear Darcy law. It is found that the enhanced oil recovery occurs with a decrease in the limiting pressure gradient q and with an increase in the power exponent.
Keywords: nonlinear filtration, ultralow permeability, limiting gradient of pressure, oil recovery of layers, finite difference method. 
@article{VTGU_2016_1_a10,
     author = {V. Sh. Shagapov and O. V. Dudareva},
     title = {Manifestation of nonlinear filtration effects in low permeablimitility reservoirs at variable modes of well functioning},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {102--114},
     year = {2016},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2016_1_a10/}
}
TY  - JOUR
AU  - V. Sh. Shagapov
AU  - O. V. Dudareva
TI  - Manifestation of nonlinear filtration effects in low permeablimitility reservoirs at variable modes of well functioning
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2016
SP  - 102
EP  - 114
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VTGU_2016_1_a10/
LA  - ru
ID  - VTGU_2016_1_a10
ER  - 
%0 Journal Article
%A V. Sh. Shagapov
%A O. V. Dudareva
%T Manifestation of nonlinear filtration effects in low permeablimitility reservoirs at variable modes of well functioning
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2016
%P 102-114
%N 1
%U http://geodesic.mathdoc.fr/item/VTGU_2016_1_a10/
%G ru
%F VTGU_2016_1_a10
V. Sh. Shagapov; O. V. Dudareva. Manifestation of nonlinear filtration effects in low permeablimitility reservoirs at variable modes of well functioning. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2016), pp. 102-114. http://geodesic.mathdoc.fr/item/VTGU_2016_1_a10/

[1] Baykov V. A., Galeev R. R., Kolonskikh A. V., Makatrov A. K., Politov M. E., Telin A. G., Yakasov A. V., “Nelineynaya fil'tratsiya v nizkopronitsaemykh kollektorakh. Analiz i interpretatsiya rezul'tatov laboratornykh issledovaniy kerna Priobskogo mestorozhdeniya”, Vestnik OAO NK «Rosneft'», 2013, no. 2(31), 8–12 (in Russian)

[2] Xu J., Jiang R., Xie L., Yang M., Wang G., Liu J., Transient pressure behavior for dual porosity low permeability reservoir based on modified Darcy'c equation, SPE-153480-MS, Society of Petroleum Engineers, 2012, 10 pp.

[3] Korobov K. Ya., Antilin Yu. V., “O narusheniyakh lineynogo zakona fil'tratsii pri nizkikh gradientakh davleniya”, Neftyanoe khozyaystvo, 1968, no. 8, 26–28 (in Russian)

[4] Baykov V. A., Kolonskikh A. V., Makatrov A. K., Politov M. E., Telin A. G., “Nelineynaya fil'tratsiya v nizkopronitsaemykh kollektorakh. Laboratornye fil'tratsionnye issledovaniya kerna Priobskogo mestorozhdeniya”, Vestnik OAONK «Rosneft'», 2013, no. 2(31), 4–7 (in Russian)

[5] Belova O. V., Shagapov V. Sh., “Metod posledovatel'noy smeny statsionarnykh sostoyaniy dlya ploskoodnomernoy zadachi fil'tratsii s predel'nym gradientom davleniya”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya. Mekhanika, 2014, no. 7, 76–86 (in Russian)

[6] Shagapov V. Sh., Belova O. V., Davletbaev A. Ya., “Osobennosti fil'tratsii v nizkopronitsaemykh kollektorakh s proyavleniem predel'nogo gradienta”, Inzhenerno-fizicheskiy zhurnal, 87:6 (2014), 1269–1281 (in Russian)

[7] Shagapov V. Sh., Belova O. V., Davletbaev A. Ya., “Features of filtration in low-permeability traps with a limiting gradient”, J. Engineering Physics and Thermophysics, 87:6, November (2014), 1322–1334 | DOI

[8] Baykov V. A., Kolonskikh A. V., Makatrov A. K., “Fil'tratsiya v sverkhnizkopronitsaemykh kollektorakh”, Matematicheskoe modelirovanie i komp'yuternye tekhnologii v protsessakh razrabotki mestorozhdeniy, Materialy V nauch.-praktich. konf., OOO «RN-UfaNIPIneft'», Ufa, 2012 (in Russian)

[9] Mirzadzhanzade A. Kh., Tekhnologiya i tekhnika dobychi nefti, Nedra Publ., M., 1986, 382 pp. (in Russian)

[10] Gimatudinov Sh. K., Razrabotka i ekspluatatsiya neftyanykh, gazovykh i gazokondensatnykh mestorozhdeniy, Nedra Publ., M., 1988, 312 pp. (in Russian)

[11] Shagiev R. G., Issledovanie skvazhin po KVD, Nauka Publ., M., 1998, 304 pp. (in Russian)

[12] Basniev K. S., Vlasov A. M., Kochina I. N., Maksimov V. M., Podzemnaya gidravlika, Nedra Publ., M., 1986, 303 pp. (in Russian)