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建立了砂岩多孔介质孔隙空间分布的分形模型，用改变粗视化程度方法导出了孔隙半径和喉道半径分布的分形模型及相应的概率模型，提出了用实际压汞实验验证上述模型及由压汞数据确定岩心孔喉大小分布分形维数的方法。所构造的网络仿真模型可以体现孔隙空间分布、孔隙大小分布以及配位数的不确定性，实现了将宏观参数（孔隙度，网络面积）与网络微观特征（孔隙结构）相结合。应用本模型可进行多孔介质的水动力学研究及油层物理研究。
The fractal model of the pore space distribution of sandstone porous media was established. The fractal model of pore radius and throat radius distribution and its corresponding probability model were derived by changing the degree of grossness. The model was verified by the actual mercury intrusion test, Mercury data to determine the pore throat size distribution fractal dimension method. The constructed network simulation model can reflect the spatial distribution of pore space, the distribution of pore size and the uncertainty of coordination number, and realize the combination of macroscopic parameters (porosity and network area) with the network microscopic features (pore structure). Application of the model can be porous media hydrodynamics and reservoir physics research.