Double Fractal Porous Media Flow Performance Of Research

Porous media widely exist in nature, engineering materials, organs, oil and water reservoirs etc. Due to the complexity of porous media, the traditional analytical theory about the seepage in porous media is based on the continuum hypothesis. In this thesis, it is reviewed that the fractal dimension of the pore's distribution (D) and the fractal dimension of the pore's tortuosity (D_T) of porous media.Firstly, base on the fact that porous media can be approximated as statistically self-similar fractal media, and according to Hagen-Poiseulle equation and Darcy's law, the porosity and permeability of porous media consisting of the dual fractal dimensions are derived. The porosity increases with the increases of the dual fractal dimensions D and D_T. The permeability increases with the fractal dimension D, but it decreases with the fractal dimension D_T.Secondly, the porosity and permeability are adopted to study the stable seepage flow of the porous media that has dual fractal dimensions. A fractal stable seepage pressure model is obtained. Using the knowledge of differential equation, the stable seepage flow pressure increases with the fractal dimension D_T.Finally, the porosity and permeability are adopted to study the unstable seepage flow of the porous media that has dual fractal dimensions. A fractal unstable seepage pressure model is obtained which accounts for the infinity radius. Using the knowledge of Bessel Function and differential equation, The pressure increases with the dual fractal dimensions D and D_T. Some possible future research directions are suggested regarding the seepage capability of porous media by using fractal geometry and method.