Research output: Contribution to journal › Article › peer-review
Velocity of viscous fingers in miscible displacement : Comparison with analytical models. / Bakharev, F.; Enin, A.; Groman, A.; Kalyuzhnyuk, A.; Matveenko, S.; Petrova, Yu; Starkov, I.; Tikhomirov, S.
In: Journal of Computational and Applied Mathematics, Vol. 402, 113808, 01.03.2022.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Velocity of viscous fingers in miscible displacement
T2 - Comparison with analytical models
AU - Bakharev, F.
AU - Enin, A.
AU - Groman, A.
AU - Kalyuzhnyuk, A.
AU - Matveenko, S.
AU - Petrova, Yu
AU - Starkov, I.
AU - Tikhomirov, S.
N1 - Publisher Copyright: © 2021 Elsevier B.V.
PY - 2022/3/1
Y1 - 2022/3/1
N2 - The paper investigates the linear growth of the mixing zone, in a pessimistic scenario, during polymer slug injection into a water reservoir. The velocities of the slug front and of the boundaries of the mixing zone are numerically and analytically studied as key parameters characterizing the miscible displacement. Using two different numerical methods (finite volumes and finite elements), the impact of the slug size, reservoir dimensions, Peclet number, and viscosity curve shape on the corresponding velocities are examined. Notwithstanding the realization of the solution by two computational schemes, the simulation results coincide with a sufficient accuracy. The numerically obtained velocities are compared with theoretical estimates within the transverse flow equilibrium approximation and Koval model. Based on the comparison pattern, recommendations are presented on the use of specific analytical methods for estimating the growth rate of the mixing zone depending on the characteristics of the polymer.
AB - The paper investigates the linear growth of the mixing zone, in a pessimistic scenario, during polymer slug injection into a water reservoir. The velocities of the slug front and of the boundaries of the mixing zone are numerically and analytically studied as key parameters characterizing the miscible displacement. Using two different numerical methods (finite volumes and finite elements), the impact of the slug size, reservoir dimensions, Peclet number, and viscosity curve shape on the corresponding velocities are examined. Notwithstanding the realization of the solution by two computational schemes, the simulation results coincide with a sufficient accuracy. The numerically obtained velocities are compared with theoretical estimates within the transverse flow equilibrium approximation and Koval model. Based on the comparison pattern, recommendations are presented on the use of specific analytical methods for estimating the growth rate of the mixing zone depending on the characteristics of the polymer.
KW - Horizontal wells
KW - Koval model
KW - Miscible displacement
KW - Porous media
KW - Transverse flow equilibrium
KW - Viscous fingers
KW - Water/polymer interface
KW - GROWTH
KW - QUARTER 5-SPOT CONFIGURATION
KW - FLOWS
KW - POROUS-MEDIA DISPLACEMENTS
UR - http://www.scopus.com/inward/record.url?scp=85115888650&partnerID=8YFLogxK
UR - https://proxy.library.spbu.ru:2068/science/article/pii/S0377042721004301?via%3Dihub
U2 - 10.1016/j.cam.2021.113808
DO - 10.1016/j.cam.2021.113808
M3 - Article
AN - SCOPUS:85115888650
VL - 402
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
M1 - 113808
ER -
ID: 91881022