The Permeability-Pore Relationship In Fractal Bed-Packing Porous Media

Seepage flow in porous media widely exists in nature and human production activities,it is important to explore the response mechanism between pore structure and fluid migration for human production practice.The seepage process of porous media is controlled by the complex microstructures inside the media.Fractal theory,as a tool for describing irregular and non-linear objects,has gradually replaced traditional geometric methods to characterize the complexity of porous media.Fractal topology theory essentially can essentially describe the scale invariance of fractal behavior.The construction of fractal particle filling model in porous media is simpler with fractal topology parameters?(P,F).Based on the fractal topology theory?(P,F),this paper develops a method to construct a stochastic fractal particle filling model,and verifies its validity by box dimension method.On this basis,the calculation models of porosity and specific surface area of fractal porous media are deduced.In order to study the influence factors of porous medium microstructure on fluid,a series of the bead-based fractals has been constructed by different polygons and sizes.Then simulate the fluid migration process in the model by utilizing the LBM method and analyze the hydrological curvature and shape factor of fractal porous media flow with seepage theory.The results show that the shape factor effect varies with the scale change,which shows that the shape factor effect decreases with the scale increase,but the trend of change decreases,so the shape factor effect is a combination of geometric characteristics and scale;Meanwhile,the shape factor effect is divided by scale.The larger the ratio of maximum scale to minimum scale,the weaker the shape factor effect;And there is a positive correlation linear relationship between the the shape factor and ratios of hydrological curvature to specific surface area(?/S),porosity to specific surface area((?)/S).