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| Mesoscopic seepage field of saturated soil with lattice Boltzmann method |
| Shen Linfang1, Wang Zhiliang1, Li Shaojun2 |
| 1.Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming, Yunnan 650500, China; 2.State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430071, China |
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Abstract According to the porosity of soil, the two dimensional porous structure of soil is established by using random allocation method. Based on Lattice Boltzmann method, the two dimensional model for simulating saturated soil seepage is constructed by setting the non-equilibrium extrapolation scheme at the inlet and outlet boundary, and the bounce-back scheme at the soil particles boundary as well as left and right boundary. The corresponding matlab program is programmed to simulate the velocity distribution of seepage field with constant soil porosity and inlet velocity. The results show that the velocity in the whole seepage area is relatively uniform in the process of seepage. The velocity is higher in the region of good connectivity and large porosity.The greater of the soil porosity, the higher of seepage velocity, and the majority of seepage velocity is lower than the inlet velocity. When soil porosity is constant, the higher of the inlet velocity, the wider of the distribution of seepage velocity. Therefore, lattice Boltzmann method could effectively simulate the seepage condition of soil and provide a new research approach for further study of seepage mechanism.
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Received: 04 December 2013
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| [1]刘建军,代立强,李树铁. 孔隙介质渗流微观数值模拟[J]. 辽宁工程技术大学学报, 2005, 24(5): 680-682. Liu Jianjun, Dai Liqiang, Li Shutie. Numerical simulation of microcosmic flow in porous media [J]. Journal of Liaoning Technical University, 2005, 24(5): 680-682.(in Chinese)[2]周健,姚志雄,张刚. 砂土渗流过程的细观数值模拟[J].岩土工程学报, 2007, 29(7): 977-981. Zhou Jian, Yao Zhixiong, Zhang Gang. Mesomechanical simulation of seepage flow in sandy soil [J]. Chinese Journal of Geotechnical Engineering, 2007, 29(7): 977-981.(in Chinese)[3]刘洋, 李飞, 柴小庆, 等. 渗流的PFC-CFD耦合细观数值模拟[J]. 水文地质工程地质, 2008, 35(2): 66-70. Liu Yang, Li Fei, Chai Xiaoqing, et al. A PFC-CFD coupled model in meso-scale for seepage[J]. Hydro-geology and Engineering Geology, 2008, 35(2): 66-70.(in Chinese)[4]周宏伟, 谢和平. 孔隙介质细观渗流DLA效应的实验研究[J]. 石油学报, 2001, 22(3):52-57. Zhou Hongwei, Xie Heping. Experimental research on DLA effect of seepage in porous media at the meso scale[J]. Acta Petrolei Sinica, 2001,22(3):52-57.(in Chinese)[5]何雅玲, 王勇, 李庆. 格子Boltzmann方法的理论及应用[M]. 北京: 科学出版社, 2008. [6]郭照立,郑楚光. 格子Boltzmann方法的原理及应用[M]. 北京: 科学出版社, 2008.[7]Sukop M C, Thorne D T. Lattice Boltzmann Modeling: an Introduction for Geoscientists and Engineers [M].Berlin:Springer-Verlag, 2006.[8]冯士德, 钟林浩, 高守亭, 等. 格子Boltzmann模型平衡分析边界条件和多棱柱排列渗流流场的数值模拟[J]. 物理学报, 2007, 56(3): 1238-1244. Feng Shide, Zhong Linhao, Gao Shouting, et al. Equilibrium distribution boundary condition in lattice Boltzmann model and numerical simulation of Darcy-Forchei-mer drag for fluid flow across a square cylinder array [J]. Acta Physica Sinica, 2007, 56(3): 1238-1244.(in Chinese)[9]Pan Chongxun, Luo Lishi,Miller C S. An evaluation of lattice Boltzmann schemes for porous medium flow simulation [J]. Computers & Fluids, 2006, 35(8/9): 898-909.[10]张霞, 李凤滨, 盛金昌, 等. 格子Boltzmann方法模拟土体渗流场研究[J]. 水电能源科学, 2012, 30(10): 61-64. Zhang Xia, Li Fengbin, Sheng Jinchang, et at. Lattice Boltzmann method for simulation seepage field of soil [J]. Water Resources and Power, 2012, 30(10): 61-64.(in Chinese)[11]何莹松. 基于格子Boltzmann方法的多孔介质流体渗流模拟[J]. 科学通报, 2013, 29(4): 118-120. He Yingsong. Simulation of fluid seepage in porous media based on lattice Boltzmann method [J]. Bulletin of Science and Technology, 2013, 29(4): 118-120.(in Chinese)[12]王华龙, 柴振华, 郭照立. 致密多孔介质中气体渗流的格子Boltzmann模拟[J]. 计算物理, 2009, 26(3): 389-395. Wang Hualong, Chai Zhenhua, Guo Zhaoli. Lattice Boltzmann simulation of gas transfusion in compact porous media [J]. Chinese Journal of Computational Physics, 2009, 26(3): 389-395.(in Chinese)[13]Qian Y H, D′Humières D,Lallemand P. Lattice BGK models for Navier-Stokes equation [J]. Europhysics Letters, 1992,17(6): 479-484.[14]Zou Qisu, He Xiaoyi. On pressure and velocity flow boundary conditions and bounceback for the lattice Boltzmann BGK model [J]. Computers & Fluids, 1997, 9(6):1591-1598.[15]Guo Z L, Zheng C G, Shi B C. Non-equilibrium extra-polation method for velocity and pressure boundary conditions in the lattice Boltamann method[J]. Chinese Physics, 2002, 11(4): 366-374. |
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