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根据分形几何学理论 ,研究了我国黄河及陕西省的黑河、石头河、冯家山古河道河床天然沉积砂卵石的粒度成分特征 ,发现在双对数坐标下粒度含量与粒径之间呈直线关系 ,表明粒度分布具有分形结构。根据直线的斜率 ,可求得相应的分维 (D=2 .5 5～ 2 .87) ,并讨论了分维与粗粒土级配的关系 ,提出可以以分维代替不均匀系数和曲率系数作为表征粗粒土级配的指标。
According to the theory of fractal geometry, the characteristics of the grain size of the natural sedimentary sand pebbles of the Yellow River in Shaanxi Province and the Heihe River, the Shitou River and the Fengjiashan River in Shaanxi Province were studied. It was found that there was a linear relationship between the grain size and particle size under the double logarithmic coordinates , Indicating that the particle size distribution has a fractal structure. According to the slope of the straight line, the corresponding fractal dimension (D = 2.55-2.87) can be obtained, and the relationship between the fractal dimension and the coarse grained soil gradation is discussed. It is proposed that the fractal dimension can replace the non-uniform coefficient and the curvature Coefficient as an indicator of coarse grained soil grading.