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孔隙介质内流体渗流的三维格子Boltzmann模拟 被引量:2

3D Lattice Boltzmann Simulation of Fluid Seepage in Porous Media
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摘要 采用格子Boltzmann方法对流体在孔隙介质内的渗流进行三维模拟研究。以球形颗粒作为孔隙介质骨架,用LBM格子来描述球形颗粒的大小和形状,颗粒边界用格线中点表示。流体和颗粒的相互作用通过格线反弹格式(Link Bounce-Back)实现。分析了孔隙介质内流体在Darcy区、弱惯性区和Forchheimer区的渗流规律,将模拟结果与渗流基本公式进行了对比,吻合较好,与文献中的实验结果、MRT模拟结果相符;分析了不同区域内流线随雷诺数的变化,随着惯性力的增加,流线形式随之改变,出现湍流涡,并逐渐长大、增多,最终覆盖整个孔隙空间;分析了惯性力和孔隙介质结构对雷诺应力的影响,雷诺应力随惯性力的增加而增加,并随着惯性力的增大,孔隙介质结构对雷诺应力的影响减小。 Three-dimensional fluid seepage behaviors in porous media were studied using Lattice Boltzmann simulation. Spherical particles were used as the porous media and LBM lattice was applied to describe size and shape. Particle boundary was represented by middle points of grid lines. Moreover, interaction between fluid and particles was achieved through Link Bounce-Back. Seepage behaviors of fluids in Darcy region, transitional region and Forchheimer region were analyzed. The simulation results were compared with fundamental theory of seepage flow, which was in good agreement with experimental and MRT simulation results from literature. Furthermore, variation of flow line with Reynolds number in different regions was analyzed. Simulation results show that the flow line changes with the increase of inertial force with vortex appears in certain conditions. The vortex area increases with the increase of Re number and covers whole pore spaces at high Re numbers. Moreover, the results show that Reynolds stress increases with inertial force, and the effects of pore medium structure on Reynolds stress is reduced with the increase of inertial force.
作者 邵宝力 王淑彦 田瑞超 王旭 钟会影 赵健 SHAO Bao-li;WANG Shu-yan;TIAN Rui-chao;WANG Xu;ZHONG Hui-ying;ZHAO Jian(School of Petroleum Engineering,Northeast Petroleum University,Daqing 163318,China;Institute of Petrochemical Technology,Jilin Institute of Chemical Technology,Jilin 132022,China)
出处 《高校化学工程学报》 EI CAS CSCD 北大核心 2018年第5期1073-1081,共9页 Journal of Chemical Engineering of Chinese Universities
基金 国家自然科学基金(51876032)
关键词 孔隙介质 格子BOLTZMANN方法 数值模拟 渗流理论 流动 porous medium Lattice Boltzmann method numerical simulation seepage theory flow
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