矿柱的突变失稳研究

Catastrophe and destabilization of ore pillar

针对矿柱失稳的不连续性、突变性,在建立顶板—矿柱力学模型的基础上,采用突变理论推导出矿柱突变失稳的充分必要条件,并研究了矿柱突变失稳的释放能量机理。结果表明:矿柱变形的突跳量,矿柱失稳前后的能量差均与外界干扰无关,只取决于顶板—矿柱系统的内部特性。本文的讨论为矿山合理的布置及优化顶板与矿柱的参数提供了参考。

Based on the discontinuity and abruptness of the pillar instability, the sufficient and necessary conditions for the failure of the column are deduced by the catastrophe theory, and the release of the instability of the column energy mechanism. The results show that the energy difference before and after the failure of the pillar is independent of the external disturbance, and only depends on the internal characteristics of the roof-pillar system. The discussion of this paper provides a strong reference for the rational layout of the mine and the optimization of the parameters of the roof and pillar.