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本文应用位错理论和边界元法研究煤层开采引起的岩层移动问题。首先推导了横观各向同性线弹性介质半无限平面内的位错解析解。然后建立了岩层移动问题的两种模式,并讨论了边界元计算方法,特别是滑移和离层两种非线性现象的处理。以位错解析解作为边界法的基本解,设计了应力、位移和变形分析的通用计算程序TSHD。最后给出了两个计算实例。研究表明:位错模式比空洞模式更适合处理岩层移动问题;岩体内部沿断层面的滑移值往往大于地表滑移值;在岩体力学参数恰当给定时,边界元法不仅能定性分析岩层移动规律,而且在定量计算上也能给出较满意的结果。
In this paper, dislocation theory and boundary element method are used to study the formation movement induced by coal seam mining. First, the dislocation analytical solution in the semi-infinite plane of transversely isotropic elastic media is derived. Then, two models of rock movement problems are established, and the calculation methods of boundary elements, especially the handling of two kinds of nonlinear phenomena, slipping and delamination, are discussed. Using the analytical solution of dislocation as the basic solution of the boundary method, a general calculation program TSHD for stress, displacement and deformation analysis is designed. Finally, two calculation examples are given. The results show that the dislocation mode is more suitable than the hollow mode to deal with the movement of rock strata. The slip value along the fault plane in the rock mass is often larger than the ground slip value. When the rock mass mechanical parameters are given properly, the boundary element method can not only qualitatively analyze the rock mass Moving law, but also in the quantitative calculation can give more satisfactory results.