基于混沌-分形理论的煤矿采动裂隙发育规律研究

Research on Development Regularity of Mining Dynamic Fractures in Coal Mine Based on Chaos Theory

以贵州某矿为研究对象,用混沌-分形理论对该矿裂隙规律进行分析研究。从能量的角度解释首先产生的是横向离层裂隙。从下层岩层到上层岩层,裂隙数量减少,两邻边呈锐角发育。最后对裂隙进行分形计算,运用数学拟合裂隙数与推进距离的关系得出纵截面岩体裂隙分形维数值在0~2变化,基于分形维数对煤与瓦斯突出机理进行分析,预测出当纵截面岩体裂隙分形维数无限趋近于2时,易产生煤与瓦斯突出。

Taking a mine in Guizhou as the research object, the fracture law of the mine is analyzed by chaos fractal theory. Explained from the angle of energy is first produced transverse abscission fracture. From the lower layer to the upper layer, the number of cracks is reduced, and the two adjacent edge is developed into a sharp angle. At the end of the crack fractal calculation by mathematical fitting crack number and the advancing distance relation of longitudinal section of rock fracture fractal dimension changes in 0 ~2 range, analyze the fractal dimension of coal and gas outburst mechanism based on predicted when the longitudinal section of rock fracture fractal dimension infinite near 2, easy to produce coal and gas outburst.