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根据分形几何理论的基本概念,就无序分形多孔介质孔隙率φ和渗透率K与多孔介质结构分数维数Df的关系进行了推导,利用Sierpinski固相分形体(Solid mass fractal)与孔相分形体(Pore mass fractal)概念对分形多孔介质微结构特征、孔隙累积数量-尺寸分布和孔隙率φ等参数及其物理关系给予了详细论述,定量地分析和讨论了基于不同模型的渗透率-分形维数关系与它们的差异。
According to the basic concept of fractal geometry theory, the relationship between the porosity φ and the permeability K of fractal porous media and the fractal dimension Df of porous media was deduced. Based on the Sierpinski solid mass fractal, The concept of Pore mass fractal is used to describe the microstructural characteristics of fractal porous media, the cumulative pore volume - pore size distribution and porosity and other parameters and their physical relationships. The quantitative analysis and discussion of the permeability - fractal The relationship between dimensions and their differences.