Theoretical framework for percolation threshold, tortuosity and transport properties of porous materials containing 3D non-spherical pores

摘要: Abstract Understanding the effects of porous network characteristics including percolation and tortuosity on transport properties materials is great importance for design optimization such materials, e.g., superior resistance to degradation due transfer corrosive fluids. Meanwhile, networks are strongly affected by geometrical shape pores. In this work, we devise a generic theoretical framework accurate predictions threshold variety two-phase composed three-dimensional (3D) interpenetrating non-spherical pores randomly distributed in homogeneous solid matrix. Our contains three major components: (1) coupled scheme Monte Carlo simulations rigorous excluded-volume model determining networks; (2) continuum percolation-based (CPTM) deriving near above; (3) generalized effective medium theory (CP-GEMT) predicting various diffusivity, permeability, electrical thermal conductivity over entire range porosities. The yields threshold, properties, which verified validated using extensive experimental, numerical analytical data wide spectrum different reported literature. readily applicable other percolating discrete objects like cracks, particles, interfaces, capsules tunneling though 3D spherocylindrical used as an introductory example work. Finally, utilize explore influences pore configurations diffusivity materials. results shed light intrinsic complex interplay components, structures turn can provide novel insights understanding practical applications.