– The purpose of this paper is to investigate the allometric permeation performance in fractal branching channel net driven by capillary pressure and analyze how the geometrical parameters of the branching channel net affect the permeability of the fluid transportation.
– An allometric permeation model is proposed based on the fractal theory by considering capillary pressure as the main driven force of fluid permeation.
– It is found that the permeability efficiency is a function of fractal dimension, bifurcation number, and number of branching level. Different fluid permeation efficiencies of the channel net can be obtained by changing the three parameters.
– The allometric permeation model established provides a better understanding of the permeation mechanism in fractal porous media which could further help with the design of bio-mimetic artificial materials.
