Bingham流体在低渗透多孔介质中球向渗流的分形模型  

The fractal model for spherical seepage of Bingham fluid in the porous media with low permeability

作　　者：王世芳 夏坤 WANG Shifang;XIA Kun(Department of Physics and Mechanical&Electrical Engineering,Hubei University of Education,Wuhan 430205,China)

机构地区：[1]湖北第二师范学院物理与机电工程学院,武汉430205

出　　处：《华中师范大学学报（自然科学版）》2021年第4期554-558,共5页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(11402081);光学信息与模式识别湖北省重点实验室开放课题研究基金资助项目(201908)。

摘　　要：基于分形理论及广义达西定律研究了非牛顿流体Bingham流体在各向同性多孔介质中球向渗流问题,推导了Bingham流体球向渗透率和启动压力梯度的解析表达式.研究结果表明球向渗透率随径向距离和迂曲度分形维数的增大而减小,随孔隙率的增大而增大;启动压力梯度随径向距离、屈服应力和迂曲度分形维数的增大而增大,同时也随毛细管最大直径的增大而减小.Based on the fractal theory and the generalized Darcy’s law,spherical seepage for Bingham fluid in isotropic porous media is studied,and the fractal analytical expressions for the permeability of Bingham fluid and the starting pressure gradient are derived.The results show that the spherical permeability of Bingham fluid decreases with the increase of radial distance and tortuosity while increases with the porosity.The starting pressure gradient increases with the increase of radial distance,tortuosity fractal dimension and the yield stress,while decreases with the increase of the maximum diameter and permeability.

关 键 词：分形理论 广义达西定律 Bingham流体 球向渗透率 启动压力梯度 

分 类 号：O373[理学—流体力学]