Lattice Boltzmann Study on Displacement Process of Thermal Miscible Fluids in Porous Media

doi:10.19596/j.cnki.1001-246x.7963

Abstract

Abstract: With lattice Boltzmann method, thermal miscible displacement process in porous media was investigated numerically in pore scale. Influence of thermal viscous diffusion coefficient (β_T) and Lewis number (Le) on interface shape and sweep efficiency are quantitatively analyzed. It shows that with the increase of β_T, the instability of interface increases and the sweep efficiency decreases. As β_T>0, with increase of Le, interface instability decreases; Interface between displacement fluid and displaced fluid tends to be flat; Fingertip residual rate decreases and sweep efficiency increases. As β_T<0, effects of Le on sweep efficiency are opposite.

Key words: lattice Boltzmann method, non-isothermal, fluid displacement, pore scale, sweep efficiency

CLC Number:

O357

JU Long, ZHANG Chunhua, CHEN Songze, GUO Zhaoli. Lattice Boltzmann Study on Displacement Process of Thermal Miscible Fluids in Porous Media[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 36(6): 648-658.

References

[1] DICKEY P A, BOSSLER R B. Secondary recovery of oil in the US[M]. Dollas:American Petroleum Institute, 1950:444-446.
[2] ORR F M. Onshore geologic storage of CO₂[J]. Science, 2009, 325:1656-1658.
[3] POETTMANN F H. In-situ combustion:A current appraisal[J]. World Oil, 1964, 1:124-128.
[4] WILSON L A, ROOT P J. Cost comparison of reservoir heating using steam or air[J]. Journal of Petroleum Technology, 1966, 18(2):233-239.
[5] ALEXANDER J, et al. Factors affecting fuel availability and composition during in situ combustion[J]. Journal of Petroleum Technology, 1962, 14(10):1154-1164.
[6] JHA B, CUETO-FELGUEROSO L, JUANES R. Fluid mixing from viscous fingering[J]. Physical Review Letters, 2011, 106(19):194502.
[7] JHA B, CUETO-FELGUEROSO L, JUANES R. Quantifying mixing in viscously unstable porous media flows[J]. Physical Review E, 2011, 84(6):066312.
[8] MOISSIS D E, MILLER C A, WHEELER M F. A parametric study of viscous fingering in miscible displacement by numerical simulation[R]. 1987.
[9] ZIMMERMAN W B, HOMSY G M. Nonlinear viscous fingering in miscible displacement with anisotropic dispersion[J]. Physics of Fluids A:Fluid Dynamics, 1991, 3(8):1859-1872.
[10] SULLIVAN S P, AKPA B S, MATTHEWS S M, et al. Simulation of miscible diffusive mixing in microchannels[J]. Sensors and Actuators B:Chemical, 2007, 123(2):1142-1152.
[11] LIU G J, GUO Z L. Pore-scale study of the non-linear mixing of fluids with viscous fingering in anisotropic porous media[J]. Communications in Computational Physics, 2015, 17(4):1019-1036.
[12] RAKOTOMALALA N, SALIN D, WATZKY P. Miscible displacement between two parallel plates:BGK lattice gas simulations[J]. J Fluids Mech, 1997, 338:277-297.
[13] WIT A D, HOMSY G M. Nonlinear interactions of chemical reactions and viscous fingering in porous media[J]. Physical of Fluids, 1999, 11(5):949-951.
[14] KUANG J, MAXWORTHY T. The effect of thermal diffusion on miscible viscous displacement in a capillary tube[J]. Phys Fluids A, 2003, 15(5):1340-1343.
[15] HOLLOWAY K E, DE BRUYN. Viscous fingering with a single fluid[J]. Can J Phys, 2005, 83(5):551-564.
[16] SAGHIR M Z, CHAALAL O, ISLAM M R. Numerical and experimental modeling of viscous fingering during liquid-liquid miscible displacement[J]. Pet Sci Eng, 2000, 26(1/4):253-262.
[17] ISLAM M N, AZAIEZ J. Miscible thermo-viscous fingering instability in porous media Part 2:Nonlinear simulations[J]. Transport Porous Media, 2010, 84(3):845-861.
[18] ISLAM M N, AZAIEZ J. Thermo-viscous fingering instability in quarter five-spot miscible displacements[J]. European Journal of Mechanics B:Fluids, 2011, 30(1):107-119.
[19] JIN X, LIU G, GUO Z. A lattice Boltzmann model for miscible viscous fingering in porous media[J]. Chinese J Comput Phys, 2015, 32(4):423-430.
[20] GUO Z L, ZHENG C G. Theory and applications of lattice Boltzmann method[M]. Beijing:Science Press, 2009:46-50,62,66.
[21] LEI T, MENG X, GUO Z. Pore-scale study on reactive mixing of miscible solutions with viscous fingering in porous media[J]. Computers & Fluids, 2017, 155:146-160.
[22] LEI T, MENG X, GUO Z. Lattice Boltzmann study on influence of chemical reaction on mixing of miscible fluids with viscous instability in porous media[J]. Chinese J Comput Phys, 2016, 33(4):399-409.
[23] LEI T, MENG X, GUO Z. Numerical study on viscous fingering of reaction fluid in a microchannel[J]. Chinese J Comput Phys, 2016, 33(1):30-38.
[24] MENG X H, GUO Z L. Multiple-relaxation-time lattice Boltzmann model for incompressible miscible flow with large viscosity ratio and high Péclet number[J]. Physical Review E, 2015, 92(4):043305.
[25] ZHANG T. Lattice Boltzmann study of multicomponent flow and heterogeneous reactive transport in porous media[D]. Wuhan:Huazhong University of Science and Technology, 2012.