The modeling of electrical property in porous media based on fractal leaf vein network

The fractal leaf vein model has been proposed to investigate the electrical property of porous media in this work. The characteristics and evolution of fractal leaf vein network are described in detail. Besides, the structural parameters and corresponding electrical resistance of fractal leaf vein model are addressed by analytical solutions. The influences of structural parameters, like diameter ratio, length ratio, level number and so on, on electrical resistance of fractal network have been discussed profoundly. What is more, the comprehensive effects of temperature, concentration of electrolyte solution and applied frequency on electrical conductivity of pore solution have been significantly analyzed in this work. The interactions among kinds of structure parameters of fractal leaf vein model are studied at last.