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对我国西部某些深部钻井的砂岩岩芯自然断面的孔隙结构，用扫描电子显微镜（ＳＥＭ）进行观察，得到数字化的图像。用计算机对图像数据进行分形数值分析，得到这些砂岩孔隙空间的分形几何结构，并求出了分维值。样品的分维值在２．６５～２．７１之间，分维值互相接近。将所得结果与Ｋａｔｚ等（１９８５）取自美国的砂岩样品比较，它们的分维值在２．５～２．８之间，说明两地砂岩有相似的结构。分维值可作为估算岩石孔隙结构的一个参数。
The pore structure of natural fractured sandstone cores in some deep drilling wells in western part of China was observed by scanning electron microscope (SEM), and the digitized images were obtained. Fractal numerical analysis of the image data by computer, the fractal geometry structure of the sandstone pore space is obtained, and the fractal dimension value is calculated. The fractal dimension of the sample is between 2.65 and 2.71, and the fractal dimension values are close to each other. The results obtained are compared with the sandstone samples from Katz et al. (1985) taken from the United States and their fractal dimension values are between 2.5 and 2.8, indicating that the sandstones in both places have similar structures. The fractal dimension can be used as a parameter to estimate the pore structure of rock.