多孔介质中化学反应对非等粘流体混合过程影响的格子Boltzmann研究

计算物理 ›› 2016, Vol. 33 ›› Issue (4): 399-409.

多孔介质中化学反应对非等粘流体混合过程影响的格子Boltzmann研究

雷体蔓, 孟旭辉, 郭照立

华中科技大学煤燃烧国家重点实验室, 湖北武汉 430074

收稿日期:2015-05-30 修回日期:2015-07-31 出版日期:2016-07-25 发布日期:2016-07-25
通讯作者: 郭照立,男,教授,E-mail:zlguo@hust.edu.cn
作者简介:雷体蔓(1992-),女,硕士,研究基于格子Boltzmann方法的多孔介质反应流,E-mail:leitiman92@hust.edu.cn
基金资助:
国家自然科学基金（51125024），国家重大基础研究专项基金（2011CB707305）资助项目

Lattice Boltzmann Study on Influence of Chemical Reaction on Mixing of Miscible Fluids with Viscous Instability in Porous Media

LEI Timan, MENG Xuhui, GUO Zhaoli

State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China

Received:2015-05-30 Revised:2015-07-31 Online:2016-07-25 Published:2016-07-25

摘要/Abstract

摘要： 利用格子Boltzmann方法和GPU计算技术，在孔隙尺度上模拟多孔介质中包含界面化学反应的粘性指进现象，定量分析化学反应对流体混合的影响.采用单浓度变量的双稳态模型来描述界面反应，而各向同性的多孔介质则通过四参数法生成.研究发现化学反应能减小指进界面厚度，抑制流体的混合，甚至会出现反混合现象，并且随着反应速率的增加，影响越明显.

关键词: 格子Boltzmann方法, 流体混合, 化学反应, 孔隙尺度, GPU计算

Abstract: Using Lattice Boltzmann method on GPU, viscous fingering of chemical fluids in porous media is simulated at pore scale. Influence of chemical reaction on fluid mixing is quantified. A one-variable chemical model admitting two stable states is adopted and a homogeneous artificial medium is generated by Quartet Structure Generation Set (QSGS) method. It shows that chemical reaction makes fingering interfaces sharp, restrains fluid mixing, and causes demixing. Influence is enhanced with increase of chemical reaction rate.

Key words: lattice Boltzmann method, mixing of miscible fluids, chemical reaction, pore-scale, GPU computing

中图分类号:

O363

雷体蔓, 孟旭辉, 郭照立. 多孔介质中化学反应对非等粘流体混合过程影响的格子Boltzmann研究[J]. 计算物理, 2016, 33(4): 399-409.

LEI Timan, MENG Xuhui, GUO Zhaoli. Lattice Boltzmann Study on Influence of Chemical Reaction on Mixing of Miscible Fluids with Viscous Instability in Porous Media[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 33(4): 399-409.

参考文献

[1] LOSEY M W, SCHMIDT M A, JENSEN K F. Microfabricated multiphase packed-bed reactors:Characterization of mass transfer and reactions[J]. Industrial & Engineering Chemistry Research, 2001, 40(12):2555-2562.
[2] BALDYGA J, CZARNOCKI R, SHEKUNOV B Y, SMITH K B. Particle formation in supercritical fluids-Scale-up problem[J]. Chemical Engineering Research and Design, 2010, 88(331):331-341.
[3] DICKEY P A, BOSSLER R B. Secondary recovery of oil in the US[M]. Dollas:American Pretroleum Institute, 1950:444-446.
[4] ORR F M. Onshore geologic storage of CO₂[J]. Science, 2009, 325:1656-1658.
[5] GUO Z L, ZHENG C G, LI Q, et al. Lattice Boltzmann method for hydrodynamics[M]. Hubei:Science Press, 2002:78,152-154.
[6] GUO Z L, ZHENG C G. Theory and applications of lattice Boltzmann method[M]. Beijing:Science Press, 2009:46-50, 62,66.
[7] CIRPKA O A, KITANIDIS P K. Characterization of mixing and dilution in heterogeneous aquifers by means of local temporal moments[J]. Water Resources Research, 2000, 36:1221-1236.
[8] TARTAKOVSKY A M, MEAKIN P. Stochastic Langevin model for flow and transport in porous media[J]. Physical Review Letters, 2008, 101:044502.
[9] LE BORGNE T, DENTZ M, BOLSTER D, et al. Non-Fickian mixing:Temporal evolution of the scalar dissipation rate in heterogeneous porous media[J]. Advance in Water Resources, 2010, 33:1468-1475.
[10] JHA B, CUETO-FELGUEROSO L, JUANES R. Fluid mixing from viscous fingering[J]. Physical Review Letters, 2011, 106:194502.
[11] JHA B, CUETO-FELGUEROSO L, JUANES R. Quantifying mixing in viscously unstable porous media flows[J]. Physical Review E, 2011, 84:066312.
[12] HORNOF V, NASR-EL-DIN H A, KHULBE K C, et al. Effects of interfacial reaction on the radial displacement of oil by alkaline solutions[J]. Oil & Gas Science and Technology-Revue d'IFP Energies Nouvelles, 1990, 45(2):231-244.
[13] SASTRY M, GOLE A, BANPURKAR A G, LIMAYE A V, et al. Variation in viscous fingering pattern morphology due to surfactant-mediated interfacial recognition events[J]. Current Science, 2001, 81(2):191-193.
[14] WIT A D, HOMSY G M. Viscous fingering in reaction-diffusion systems[J]. The Journal of Chemical Physics, 1999, 110(17):8663-8675.
[15] 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.
[16] LIU G J. Pore-scale study on the interaction between interfacial instability and mixing of miscible fluids in porous media[D]. Hubei:Huazhong University of Science and Technology. 2014.
[17] HUANG C S, ZHANG W H, HOU Z M. CUDA based lattice Boltzmann method:Algorithm design and program optimization[J]. Chinese Science Bulletin, 2011, 56(28):2434-2444.
[18] ZHU L H, GUO Z L. GPU accelerated lattice Boltzmann simulation of flow in porous media[J]. Chinese Journal of Computational Physics, 2015, 32(1):20-26.
[19] RAKOTOMALALA N, SALIN D, WATZKY P. Miscible displacement between two parallel plates:BGK lattice gas simulations[J]. Journal of Fluid Mechanics, 1997, 338:277-297.
[20] WANG M, WANG J, PAN N, CHEN S. Mesoscopic predictions of the effective thermal conductivity for microscale random porous media[J]. Physical Review E, 2007, 75:036702.
[21] RAKOTOMALALA N, SALIN D, WATZKY P. Miscible displacement between two parallel plates:BGK lattice gas simulations[J]. Journal of Fluid Mechanics, 1997, 338:277-297.
[22] DENG B, SHI B C, WANG G C. A new lattice Bhatnagar-Gross-Krook model for the convection-dffiusion equation with a source term[J]. Chinese Physics Letters, 2004, 22(2):267-270.
[23] PAN C X, LUO L S, MILLER C T. An evaluation of lattice Boltzmann schemes for porous medium flow simulation[J]. Computers & Fluids, 2006, 35(8):898-909.
[24] LALLEMAND P, LUO L S. Theory of the lattice Boltzmann method:Dispersion, dissipation, isotropy, Galilean invariance, and stability[J]. Physical Review E, 2000, 61(6):6546-6562.
[25] D'HUMIERES D, GINZBERG I, KRAFCZYK M. Multiple-relaxation-time lattice Boltzmann models in three dimensions[J]. Philosophical Transactions of the Royal Society of London:Series A Physical Sciences and Engineering, 2002, 360(1792):437-445.
[26] WANG J, WANG D, LALLEMAND P, LUO L S. Lattice Boltzmann simulations of thermal convective flows in two dimensions[J]. Computers & Mathematics with Applications, 2013, 65(2):262-286.
[27] LADD A J C. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1:Theoretical foundation[J]. Journal of Fluid Mechanics, 1994, 271:285-309.
[28] LADD A J C. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2:Numerical Results[J]. Journal of Fluid Mechanics, 1994, 271:311-339.
[29] BAUDET C, HULIN J P, LALLEMAND P. Lattice-gas automata:A model for the simulation of dispersion phenomena[J]. Physical Fluids, 1989, 1(1):507-512.
[30] CALLEWAERTA M, MALSCHEA W D, OTTEVAEREB H. Assessment and numerical search for minimal Taylor-Aris dispersion in micro-machined channels of nearly rectangular cross-section[J]. Journal of Chromatography A, 2014, 1368(14):70-81.