Study on the Electrical Properties of Anisotropic Composites and the Inversion of Inclusion Structure

Effective electrical properties (e.g., resistivity and permittivity) are important physical properties of composite materials, typically determined by various factors including material composition, proportion, and inclusion structure. However, most existing theoretical models neglect the influence of microgeometry when analyzing the effective electrical properties, thereby inaccurately describing composites with strong anisotropy, such as natural formations containing fractures. Furthermore, current electrical property measurement experiments are usually conducted only in a single direction, potentially leading to an inadequate interpretation of the electrical anisotropy exhibited by materials. This paper conducts a modeling analysis of rock samples containing fractures using the Finite-Element Method (FEM); and designs a multi-directional resistivity measurement system for the same rock sample, comprehensively analyzing the effective electrical properties of anisotropic composites. In addition, we use a chart-based inversion framework proposed in the previous study to predict fracture inclusion geometry. The validity of the inversion method is tested by comparing with the experimental data. The results of this study provide important theoretical support and experimental evidence for the electrical analysis of anisotropic composite materials.