基于Sierpinski carpet模型的多孔介质迂曲度计算  

Calculation of tortuosity porous media based on Sierpinski carpet model

作　　者：袁培[1] 付云飞[1] 郝亚萍[1] 王建军[1] 吕彦力[1] 

机构地区：[1]郑州轻工业学院能源与动力工程学院,河南郑州450002

出　　处：《轻工学报》2016年第5期69-74,共6页Journal of Light Industry

基　　金：国家自然科学基金项目(51476148;21446011);郑州市科技攻关项目(141PPTGG418)

摘　　要：基于精确自相似Sierpinski carpet分形模型,通过求解控制体的迂曲度分布函数,研究了平均迂曲度与孔隙率、最小孔隙特征长度和分形维数的函数关系.结果表明:迂曲度与孔隙率服从Γn=3/2-1/2φ的计算规律;最小孔隙特征长度、分形维数、欧几里得空间维数共同决定了物体内部空间的复杂程度;多孔介质内部流线迂曲度随孔隙率增大而减小,随最小孔隙特征长度、分形维数的减小而增大.Based on the exact self-similar fractal Sierpinski carpet model,it has been studied that the functional relationship of average tortuosity and porosity,and the functional relationship average tortuosity and minimum pore characteristic length and the fractal dimension by solving the distribution function of tortuosity of the control body. The results showed the tortuosity and porosity calculation obey the rule of Γn=3/2-1/2φ; the minimum pore characteristic length,the fractal dimension and Euclidean space dimension determine the complexity of the internal space of object; the tortuosity of porous media flow lines decreases with the increasing of the internal porosity and increases with the decreasing of the smallest pores characteristic length and pore fractal dimension.

关 键 词：多孔介质 迂曲度 分形 孔隙率 最小孔隙 分形维数 

分 类 号：O351[理学—流体力学]