EI、Scopus 收录
中文核心期刊
Quick Search Issue Search Advanced Search
Volume 51 Issue 1
Turn off MathJax
Article Contents
Abstract
References
Cheng Zhilin, Ning Zhengfu, Zeng Yan, Wang Qing, Sui Weibo, Zhang Wentong, Ye Hongtao, Chen Zhili. A LATTICE BOLTZMANN SIMULATION OF FLUID FLOW IN POROUS MEDIA USING A MODIFIED BOUNDARY CONDITION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(1): 124-134. DOI: 10.6052/0459-1879-18-179
Citation: Cheng Zhilin, Ning Zhengfu, Zeng Yan, Wang Qing, Sui Weibo, Zhang Wentong, Ye Hongtao, Chen Zhili. A LATTICE BOLTZMANN SIMULATION OF FLUID FLOW IN POROUS MEDIA USING A MODIFIED BOUNDARY CONDITION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(1): 124-134. DOI: 10.6052/0459-1879-18-179
shu

A LATTICE BOLTZMANN SIMULATION OF FLUID FLOW IN POROUS MEDIA USING A MODIFIED BOUNDARY CONDITION

  • *State Key Laboratory of Petroleum Resources and Engineering

  • China University of Petroleum-Beijing Beijing 102249 China
    †Institute of Mechanics Chinese Academy of Sciences

    Graphical Abstract
    • Abstract
  • The lattice Boltzmann method has been considered as an effective method for the simulation of hydrodynamic flows. Handling the boundary condition accurately in simulation is extremely essential for a reliable study. In this paper, a multiple relaxation time lattice Boltzmann model with different boundary conditions was applied to mimic the flows in periodically symmetric and irregular structures. The scope of application and accuracy for different boundary conditions in various geometries was investigated. In addition, a hybrid boundary treatment method was introduced to simulate the non-Darcy flow in porous media, the simulation results of which were also compared to the results obtained using pressure boundary condition. The results show that for the symmetric and periodic flow simulation, both the body force and the pressure driven boundary treatments are perfectly equivalent and both can accurately capture the flow characteristics. While for the fluid flow in irregular structures, the body force and pressure boundary conditions are not equivalent, and the body force one has limited use and can only be applied to periodic structures. This implies that one must be cautious of the reliability of modeling when conducting model validation with simple structures. It seems that the regular structures could be inadequate to validate the modeling, which depends on the research issues, i.e., the flow patterns in what kinds of structures. Furthermore, the generalized periodic boundary condition proposed by previous authors combines periodic density momentum with a pressure gradient in one dimension is also not appropriate to conduct flow simulation in irregular models since this method ignores the effect of asymmetric obstacles in the direction perpendicular to the main streamlines. Moreover, the hybrid boundary condition can be used to perform flow simulations not only in periodic structures but also the irregular ones. In particular, for the inertial flow of fluids in porous media, the relatively high Reynolds number can be achieved readily with the hybrid boundary condition. For the pressure driven boundary condition, the pressure gradient comes from the density difference between the inlet and outlet. To provide a higher Reynolds number, it is necessary to implement a great density contrast in inlet and outlet nodes. However, this approach is inconsistent with physical situation and causes undesirable errors in simulation. All in all, the hybrid boundary condition has greater advantages over the pressure boundary condition.
    • FullText(HTML)
    • References (1)
  • [1] 柳占立, 庄茁, 孟庆国等. 页岩气高效开采的力学问题与挑战. 力学学报, 2017, 49(3): 507-516
    [1] (Liu Zhanli, Zhuang Zhuo, Meng Qingguo, et al.Problems and challenges of mechanics in shale gas efficient exploitation. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(3): 507-516 (in Chinese))
    [2] 刘文超, 刘曰武. 低渗透煤层气藏中气-水两相不稳定渗流动态分析. 力学学报, 2017, 49(4): 828-835
    [2] (Liu Wenchao, Liu Yuewu.Dynamic analysis on gas-water two-phase unsteady seepage flow in low-permeable coalbed gas reservoirs. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(4): 828-835 (in Chinese))
    [3] 郑艺君, 李庆祥, 潘明等. 多孔介质壁面剪切湍流速度时空关联的研究. 力学学报, 2016, 48(6): 1308-1318
    [3] (Zheng Yijun, Li Qingxiang, Pan Ming, et al.Space-time correlations of fluctuating veloctuating in porous wall-bounded turbulent shear flows. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(6): 1308-1318 (in Chinese))
    [4] Sukop MC, Thorne DT.Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers. Springer Publishing Company, Incorporated, 2007
    [5] Krüger T, Kusumaatmaja H, Kuzmin A, et al.The Lattice Boltzmann Method: Principles and Practice. Springer Publishing Company, 2016
    [6] Chen L, Zhang L, Kang Q, et al.Nanoscale simulation of shale transport properties using the lattice Boltzmann method: Permeability and diffusivity. Scientific Reports, 2015, 5: 8089
    [7] Chukwudozie C, Tyagi M.Pore scale inertial flow simulations in 3-D smooth and rough sphere packs using lattice Boltzmann method. AIChE Journal, 2013, 59(12): 4858-4870
    [8] Arabjamaloei R, Ruth D.Numerical study of inertial effects on permeability of porous media utilizing the lattice Boltzmann method. Journal of Natural Gas Science and Engineering, 2017, 44: 22-36
    [9] Kakouei A, Vatani A, Rasaei M, et al.Cessation of Darcy regime in gas flow through porous media using LBM: Comparison of pressure gradient approaches. Journal of Natural Gas Science and Engineering, 2017, 45: 693-705
    [10] Zhao H, Ning Z, Kang Q, et al.Relative permeability of two immiscible fluids flowing through porous media determined by lattice Boltzmann method. International Communications in Heat and Mass Transfer, 2017, 85: 53-61
    [11] Zhao T, Zhao H, Li X, et al.Pore scale characteristics of gas flow in shale matrix determined by the regularized lattice Boltzmann method. Chemical Engineering Science, 2018, 187: 245-255
    [12] Kandhai D, Koponen A, Hoekstra A, et al.Implementation aspects of 3D lattice-BGK: Boundaries, accuracy, and a new fast relaxation method. Journal of Computational Physics, 1999, 150(2): 482-501
    [13] Zhang J, Kwok DY.Pressure boundary condition of the lattice Boltzmann method for fully developed periodic flows. Physical Review E, 2006, 73(4): 047702
    [14] Gräser O, Grimm A.Adaptive generalized periodic boundary conditions for lattice Boltzmann simulations of pressure-driven flows through confined repetitive geometries. Physical Review E, 2010, 82(1): 016702
    [15] Newman MS, Yin X.Lattice Boltzmann simulation of non-Darcy flow in stochastically generated 2D porous media geometries. SPE Journal, 2013, 18(1): 12-26
    [16] Chai Z, Shi B, Lu J, et al.Non-Darcy flow in disordered porous media: A lattice Boltzmann study. Computers & Fluids, 2010, 39(10): 2069-2077
    [17] Sukop MC, Huang H, Alvarez PF, et al.Evaluation of permeability and non-Darcy flow in vuggy macroporous limestone aquifer samples with lattice Boltzmann methods. Water Resources Research, 2013, 49(1): 216-230
    [18] Bhatnagar PL, Gross EP, Krook M.A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Physical Review, 1954, 94(3): 511-525
    [19] Humiéres D.Multiple--relaxation--time lattice Boltzmann models in three dimensions. Philosophical Transactions of the Royal Society of London Series A: Mathematical,Physical and Engineering Sciences, 2002, 360(1792): 437
    [20] Lallemand P, Luo L-S.Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability. Physical Review E, 2000, 61(6): 6546-6562
    [21] Qian YH, Humiéres DD, Lallemand P.Lattice BGK models for Navier-Stokes equation. EPL Europhysics Letters, 1992, 17(6): 479
    [22] Guo Z, Zheng C, Shi B.Discrete lattice effects on the forcing term in the lattice Boltzmann method. Physical Review E, 2002, 65(4): 046308
    [23] Yu Z, Fan LS.Multirelaxation-time interaction-potential-based lattice Boltzmann model for two-phase flow. Physical Review E, 2010, 82(4): 046708
    [24] Huang H, Huang JJ, Lu XY.Study of immiscible displacements in porous media using a color-gradient-based multiphase lattice Boltzmann method. Computers & Fluids, 2014, 93: 164-172
    [25] Guo ZL, Zheng CG, Shi BC.Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method. Chinese Physics, 2002, 11(4): 366
    [26] Kim S H, Pitsch H.A generalized periodic boundary condition for lattice Boltzmann method simulation of a pressure driven flow in a periodic geometry. Physics of Fluids, 2007, 19(10): 108101
    [27] 陶实, 王亮, 郭照立. 微尺度振荡Couette流的格子Boltzmann模拟. 物理学报, 2014, 63(21): 239-247
    [27] (Tao Shi, Wang Liang, Guo ZhaoLi. Lattice Boltzmann modeling of microscale oscillating Couette flow. Acta Physica Sinica, 2014, 63(21): 239-247 (in Chinese))
    [28] 姚军, 赵建林, 张敏等. 基于格子Boltzmann方法的页岩气微观流动模拟. 石油学报, 2015, 36(10): 1280-1289
    [28] (Yao Jun, Zhao Jianlin, Zhang Min, et al.Microscale shale gas flow simulation based on lattice Boltzmann method. Acta Petrolei Sinica, 2015, 36(10): 1280-1289 (in Chinese))
    [29] Zeng Y, Ning Z, Wang Q, et al.Gas transport in self-affine rough microchannels of shale gas reservoir. Journal of Petroleum Science and Engineering, 2018, 167: 716-728
    [30] Cheng Z, Ning Z, Wang Q, et al.The effect of pore structure on non-Darcy flow in porous media using the lattice Boltzmann method. Journal of Petroleum Science and Engineering, 2019, 172: 391-400
    [31] Guo WB, Wang NC, Shi BC, et al.Lattice-BGK simulation of a two-dimensional channel flow around a square cylinder. Chinese Physics, 2003, 12(1): 67
    [32] Breuer M, Bernsdorf J, Zeiser T, et al.Accurate computations of the laminar flow past a square cylinder based on two different methods: lattice-Boltzmann and finite-volume. International Journal of Heat and Fluid Flow, 2000, 21(2): 186-196
    [33] Mei R, Yu D, Shyy W, et al.Force evaluation in the lattice Boltzmann method involving curved geometry. Physical Review E, 2002, 65(4): 041203
    [34] Lu J, Guo Z, Chai Z, et al.Numerical study on the tortuosity of porous media via lattice Boltzmann method. Communications in Computational Physics, 2009, 6(2): 354-366
    [35] Chukwudozie C, Tyagi M, Sears S, et al.Prediction of non-Darcy coefficients for inertial flows through the castlegate sandstone using image-based modeling. Transport in Porous Media, 2012, 95(3): 563-580
    [36] Guo Z, Zhao T.Lattice Boltzmann model for incompressible flows through porous media. Physical Review E, 2002, 66(3): 036304
    [37] Forchheimer P.Wasserbewegung durch boden, Z. Ver. Deutsch, Ing., 1901, 45: 1782-1788
    [38] Ruth D, Ma H.On the derivation of the Forchheimer equation by means of the averaging theorem. Transport in Porous Media, 1992, 7(3): 255-264
    [39] Zeng Z, Grigg R.A criterion for non-Darcy flow in porous media. Transport in Porous Media, 2006, 63(1): 57-69
    [40] Andrade Jr J, Costa U, Almeida M, et al.Inertial effects on fluid flow through disordered porous media. Physical Review Letters, 1999, 82(26): 5249
    • Related Articles

  • Cited by

    Periodical cited type(9)

    1. 李国亭，杨琳晔，赵伟高. 胶体态污染物在多孔介质中迁移模拟的研究进展. 化学通报(中英文). 2025(03): 272-280 .
    2. 杨旭光，汪垒. 多相多组分Peng-Robinson流体的正则化格子Boltzmann方法研究及模拟. 力学学报. 2023(08): 1649-1661 . 本站查看
    3. 张煜，李天富，罗康，吴健，易红亮. 离子选择性表面电对流的多块LB模拟. 力学学报. 2022(10): 2784-2795 . 本站查看
    4. 胡五龙，刘国峰，晏石林，范严伟. 土壤水分布的孔隙尺度格子玻尔兹曼模拟研究. 力学学报. 2021(02): 568-579 . 本站查看
    5. 谢晨，李银山，霍树浩. 用格子Boltzmann方法模拟方柱绕流. 河北工业大学学报. 2021(04): 17-24 .
    6. 刘镇涛，肖莉，和琨，汪垒. 二维局部受热腔体内电热对流问题模拟和分析. 力学学报. 2021(09): 2477-2492 . 本站查看
    7. 杨秋足，徐绯，王璐，杨扬. 一种基于黎曼解处理大密度比多相流SPH的改进算法. 力学学报. 2019(03): 730-742 . 本站查看
    8. 徐建于，黄生洪. 圆柱形汇聚激波诱导Richtmyer-Meshkov不稳定的SPH模拟. 力学学报. 2019(04): 998-1011 . 本站查看
    9. 吴鑫，彭雅雯，晏巧，赵红霞，王雪梅. 改进分水岭算法的煤岩孔隙重构及渗流模拟. 中国安全科学学报. 2019(09): 144-149 .

    Other cited types(8)

Catalog

    Get Citation
    PDF
    XML

    Article Metrics

    Article views (2619) PDF downloads (266) Cited by(17)
    Related

    Download Center

    Author Center

    Copyright © Editorial Office of the Chinese Journal of Mechanics   京ICP备05039218号-1

    Address：15 Beishihuan Xi Lu, Haidian District, Beijing, China   China Pos：100190

    Tel：010-62536271

    Email：lxxb@cstam.org.cn

    微信公众号
    RSS

    Supported by: Beijing Renhe Information Technology Co., Ltd.  Baidu Analytics

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return