Anisotropic Lumped Network Model for Electric Properties of Heterogeneous Media

• Published in: 2023 International Applied Computational Electromagnetics Society Symposium (ACES-China) pp. 01 - 03
• Main Authors: Guo, Chen, Wang, Qianyu, Ling, Bowen
• Format: Conference Proceeding
• Language: English
• Published: Applied Computational Electromagnetics Society (ACES) 15.08.2023
• Subjects: Analytical models; anisotropic; Computational modeling; Conductivity; effective electrical properties; finite element method (FEM); lumped network; Media; Rocks; Solid modeling; Solids; upscaling
• DOI: 10.23919/ACES-China60289.2023.10249610

Heterogeneous media are prevalent in natural and engineering settings, such as fractured rock, layered geological formations, and multiscale subsurface environments. The accuracy of remote sensing data inversion is heavily influenced by media heterogeneity. The electrical properties of saturated fractured networks, which consist of a less conductive solid matrix and a conductive brine in the pore space, have many applications in petrophysics and reservoir engineering. Currently, most upscaling models of rock pore structure assume a homogeneous medium, which fails to accurately reflect the pore or fissure structure in the rock. The lumped network (LN) model establishes the relationship between effective resistivity and fracture/pore phases. In this study, we developed an anisotropic LN model for a two-dimensional rock model based on the pore classification method. We transformed the volume of isotropic and anisotropic pores in the two-dimensional rock model into resistances in the LN. Our proposed method demonstrated an improvement in equivalent accuracy for both non-fractured and fractured media compared to the classic model.