坚硬顶板突然断裂过程中的突变模型

The cusp type catastrophic model of the fracture process of hard rock roof

本文分析了坚硬顶板发生断裂和发展的机制 ,在此基础上 ,应用突变理论 ,采取拓扑变换的方法 ,得到了坚硬顶板断裂起动过程的突变条件 ,建立了断裂起动过程的突变模型 ,通过对突变模型的数学分析 ,解释了坚硬顶板断裂和发展的机制 。

This paper is about the mechanism of the fracture and its development of hard rock roof. According to the mechanism the Catastrophic Theory and the method of Thom-Changes are used to get the conditions of the catastrophe in the beginning phase of the fracture of hard rock roof and the Cusp Type Catastrophic Model is created. Through the mathematics analysis of Cusp Type Catastrophic Model the mechanism of the rock burst caused by hard rock roof is explained and the prevention measures of the rock burst are founded.