排土场散体岩石粒度分布与剪切强度的分形特征

应用分形理论研究了矿山排土场散体岩石粒度分布的分维规律，建立了分维数与排土场散体物料剪切强度参数的定量关系式。研究表明，排土场岩石块度分布具有良好的分形结构，分维数值大小随着排土场高度的增加而增加，但不超过3。当采样尺度范围一定时，分维数越大，散体中细颗粒含量越多，平均粒径也越小。分维数与散体岩石的剪切强度参数摩擦角?呈负指数关系。分维数值可用于排土场粒度资料的统计分析与剪切力学强度参数的预测。

Fractal characteristics of size distribution and shear strength of bulky rock material in waste pile of mines

The fractal characteristics of size distribution of bulky rock material in dumping site of mines are studied by using fractal geometry theory. The quantitative equations reflecting the relation between fractal dimensions and shear strength parameters are also put forward. It is found that there is an excellent fractal structure of size distribution of bulky rock material in waste dump, the value of fractal dimension increases with the increasing height of waste pile, but it is not over 3. The results also show that if the scope of measuring scale is unvaried, the contents of fine grain increases and the average grain-size decreases with the increasing value of fractal dimension. The correlation between the value of fractal dimension and the friction angle which is the shear strength parameter is negative exponential. The value of fractal dimension can be used in predicting shear strength and as a kind of measure in the size statistical analysis of bulky rock material in waste dump.