A connectivity dependent model for electrical properties of multiphase media

Abstract

Determining the effective electrical properties of a multiphase medium is essential for understanding its performance. However, accurately characterizing the internal structure and calculating the effective electrical properties of complex multiphase media can be challenging, often resulting in divergent results from different models. In this study, we propose a connectivity dependent model for mixed media based on the effective medium approximation, which incorporates structural influences. This model simplifies itself to analytical forms in specific scenarios, such as simple series and parallel configurations. Our model demonstrates two key advantages: First, the model parameters depend solely on the shape distribution of each phase within the medium, making it applicable to multiphase systems (≥3) without requiring additional corrections. Second, it can predict the percolation threshold and provide insights into permeability and connectivity analyses of the medium. We demonstrate the effectiveness and versatility of our model through a series of parameter analyses and comparisons with experimental data.