Fractal dimensionality dependence of microstructural parameters and permeability in fractal porous media

According to the fundamental notions of the fractal geometry, the rigorous relationships between the fractal dimensionality and the microstructural parameters including porosity as well as permeability in random fractal porous media are established in the present paper. The physical significances of microstructural characteristics, the cumulative pore number-size distribution and the porosity formula of the fractal porous media are discussed in detail using the model of the Sierpinski solid and the pore mass fractals. In addition, the permeability-fractal dimensionality relationships built up on two different models and their differences are quantitatively analyzed.