基于分形理论的采动裂隙时空演化规律研究

Study on fissure development rule of overlying strata influenced by mining based on fractal theory

为掌握采动影响区覆岩裂隙时空演化规律,进行采动条件下裂隙场演化实验室相似模拟实验,采用数理统计方法对裂隙场分布进行定性分析,利用分形理论定量描述裂隙时空演化规律。研究结果表明:采动影响覆岩裂隙场划分为4个区域,即离层低角度裂隙区,采空区中部垮落及断裂带中角度区,裂隙扩展高角度区,中、高角度过渡区;引入分形理论,对采动影响覆岩裂隙演化的几个重要阶段的变化趋势和程度进行定量描述;通过分析裂隙张开的程度得出中、高角度过渡区是瓦斯抽采工程措施实施的主要区域。

In order to study the law of space-time evolution of overburden rock fracture by mining influence,the laboratory similar simulation experiment was taken to research the crack evolution,which adopt the method of mathematical statistics on the fissure distribution in qualitative analysis and the theory of fractal to study the space-time evolution of fracture in quantitative description. The results show that the mining influence overburden fracture field is divided into four areas,namely abscission low angle fracture zone,central gob roof caving and angle areas of fissure zone,high angle area of crack extension,and transition zone of medium high angle. The important stages for variation tendency and variations of the mining influence overburden fracture were described rationally by reference fractal theory. Medium and high angle transition zone was the main area of gas drainage engineering measures,which was obtained by analyzing expand degree of crack. The analysis can provide certain theory and the practice foundation for mining overburden rock control and goaf gas extraction