Abstract
This paper presents a preliminary work to evaluate the electrical impedance of three-dimensional pore fractal networks embedded in a cube. The construction and structural parameters of pore and electrical networks are illustrated in detailed. The total impedance response (modulus and phase) of networks is primarily associated with structural parameter of network, pore structure parameter of cube, conductivity of pore and solid phases. The impedance response of cube with the evolution of fractal network is analyzed comprehensively in this work. Besides, the influence of conductivity of pore phase caused by different types of electrolytes, electrical frequencies and conductivity of solid phase on the total impedance response is systematically studied.
Highlights
Fractal network structures are considered as typical branching structures abound in nature
This paper presents a preliminary work to evaluate the electrical impedance of threedimensional pore fractal networks embedded in a cube
Wei et al.[19] proposed an electrical conductivity model for fractal porous media and indicated that the electrical conductivity was explicitly related to the porosity, electrical conductivity of pore liquid and fractal dimensions; this model did not take the complex form of electrical conductivity into account
Summary
Fractal network structures are considered as typical branching structures abound in nature. Shitanda et al.[20] performed impedance simulation for analysis of a fractal structure porous carbon electrode composed of macropores and mesopores They assumed that the electrolyte resistance per unit length was considered to be independent of applied frequencies. Tang et al.[3] adopted fractal permeability model based on innovative noncontact electrical impedance measurement to evaluate the permeability of fresh cement pastes and investigated the effect of porosity and minimum and maximum pore sizes on permeability. They did not take the three-dimensional properties of fractal model into account. The influence of structural parameters of fractal network, pore structure parameters of cube, pore and solid phase conductivity on total impedance of cube is analyzed
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