On the Physical Properties of Apparent Two-Phase Fractal Porous Media

In this study, we summarized some basic characters of fractal porous media, including the fractal pore or particle size distribution, pore or particle density function, the fractal dimensions for the pore and solid phases, and their relations. The geometric porosities vs. the fractal dimensions and microstructures of porous media were reviewed and discussed in two and three dimensions. The specific surface areas of fractal porous media in two and three dimensions were derived and were expressed as a function of the fractal dimensions and microstructural parameters. The fluid velocities in fractal porous media were also derived and found to be a function of the fractal dimensions and microstructural parameters of the medium. The parameters presented are the fundamental ones and may have potential in analysis of transport properties in fractal porous media.