基于尖点突变理论的急倾斜相邻矿体夹层稳定性分析

Stability Analysis on Interlayer Between the Adjacent Orebodies with High Dipping Based on Cusp Catastrophe Theory

为分析急倾斜相邻矿体夹层的稳定性,根据急倾斜相邻矿体特殊形态,将夹层简化成上下端固支的受力压杆,并建立了尖点突变模型。研究表明,系统平衡点跨越折痕至上叶时,系统失稳,夹层变形量与夹层物理力学性质有关,与矿房高度呈线性关系;失稳产生能量由矿房尺寸、夹层物理力学性质、采深和上覆岩层容重决定;通过失稳充要条件得出临界条件下矿房沿走向长度与矿房高度的函数关系式,对采场结构参数的科学选择有指导作用。

For analyzing the stability of interlayer between the adjacent orebodies with high dipping, based on the special form of orebodies, the interlayer was simplified to a com- pression rod fixing in both ends, and the cusp catastrophe models were established. The study showed that the stability system collapsed when the equilibrium point crossed the crease to the upper lobe. The interlayer deformation, associating with mechanical properties, had a linear relationship with the chamber height. The energy of collapse was determined by the chamber size, the mechanical properties of interlayer, the depth and the unit weight of overlying strata.Through the necessary and sufficient conditions of instability, the function between the length along the trend and the height in chamber was deduced under the critical condition, which provided an important guidance for the selection of structure parameters in stope.