摘要
多孔介质具有复杂的内部孔隙结构,其固体基质的组成成分、内部孔隙的几何形状及其赋存于内部孔隙的液体成分都对多孔介质的电导率有较大影响,因此很难对其导电特性进行准确表征。多孔介质内部孔隙的不规则性表现出极强的分形特性,其分形维数在一定程度上能反映多孔介质的内部微观结构特征,且分形几何理论已经被用于多孔介质输运特性的研究中。为进一步丰富多孔介质电导率模型,促进对微观物理结构如何影响其宏观电导性的理解,基于分形理论,以多孔介质微结构参数(孔隙度、孔隙分形维数和曲率分形维数)为基础,建立了多孔介质的电导率模型。以现有试验数据为基础,对推导电导率模型的正确性进行验证。结果表明:两者具有较高的一致性,说明该电导率模型的正确性和有效性。
Porous media has a complex internal pore structure.The composition of the solid matrix,the geometry of the internal pores and the liquid composition of the internal pores all have a great impact on the electrical conductivity of the porous media.As a consequence,it is difficult to accurately characterize its electrical conductivity.The irregularity of internal pores in porous media shows strong fractal characteristics.To a certain extent,the fractal dimension can reflect the internal microstructure of porous media and the fractal geometry theory are used in the study of transport properties of porous media.To further enrich the electrical conductivity model of porous media and promote the understanding of how the microscopic physical structure affects its macroscopic electrical conductivity,based on the fractal theory and the microstructure parameters(porosity,pore fractal dimension and tortuosity fractal dimension)of porous media,an electrical conductivity model was established.Based on the existing test data,the correctness of the deduced conductivity model was verified.The results show that the results calculated by the fractal electrical conductivity model are in good agreement with the existing data,indicating the accuracy and effectiveness of the proposed electrical conductivity model.
作者
陈松林
汪魁
赵明阶
CHEN Song-lin;WANG Kui;ZHAO Ming-jie(Hehai College, Chongqing Jiaotong University, Chongqing 400074, China)
出处
《科学技术与工程》
北大核心
2021年第36期15597-15602,共6页
Science Technology and Engineering
基金
国家自然科学基金(51879017)
重庆交通大学研究生科研创新项目(2021B0006)。
关键词
分形理论
多孔介质
电导率模型
fractal theory
porous media
electrical conductivity model
作者简介
第一作者:陈松林(1994—),男,土家族,重庆人,博士研究生。研究方向:岩土体电阻率。E-mail:cqchensl@163.com;通信作者:汪魁(1986—),男,汉族,安徽潜山人,博士,副教授。研究方向:水工建筑物健康诊断。E-mail:anhuiwk@163.com。
