研究了大同燕子山煤层顶板岩石的显微空隙、粒度分布的分形特征及其与岩石强度的关系。显微镜下的统计分析与岩石力学实验表明 ,岩石的显微空隙与粒度分布都是自然界的分形 ,可用分维定量描述其复杂程度 ;同时 ,它们又都是影响岩石强度的重要因素 ,其分形维数与岩石强度具有显著的相关性 ,可据之估计岩石强度 The fractal characteristics of micro-voids and particle size distribution of rock in the roof of Datong Yanzishan coal seam were studied, and their relations with rock strength were studied. Microscopic analysis and rock mechanics experiments show that the micro-voids and particle size distribution of rock are fractal in nature, which can be quantitatively described by fractal dimension. At the same time, they are all important factors affecting the rock strength. The fractal dimension There is a significant correlation between the number and the rock strength, which can be estimated from the rock strength