The National Natural Science Foundation of China (General Program)；Postgraduate Research and Innovation Project of Chongqing Jiaotong University
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 has been 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 is established. Based on the existing test data, the correctness of the deduced conductivity model is verified. The data analysis shows 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.
陈松林,汪魁,赵明阶. 基于分形理论的饱和多孔介质电导率模型建立[J]. 科学技术与工程, 2021, 21(36): 15597-15602.
Chen Songlin, Wang Kui, Zhao Mingjie. Research on Electrical Conductivity Model of Saturated Porous Media Based on Fractal Theory[J]. Science Technology and Engineering,2021,21(36):15597-15602.