走向条带煤柱破坏失稳的尖点突变模型

CUSP CATASTROPHIC MODEL OF INSTABILITY OF STRIP COAL PILLAR ALONG STRIKE

走向条带煤柱的破坏失稳是典型的偏离平衡态的非线性过程。在建立走向条带煤柱力学模型的基础上,应用突变理论建立了走向条带煤柱滑移破坏失稳的尖点突变模型,导出了条带煤柱破坏失稳的充要条件表达式。该突变模型考虑了地下水对条带煤柱稳定性的影响,认为地下水的作用主要是通过软化煤柱弹性核区的强度、降低煤柱弹性核区的刚度从而降低条带煤柱的稳定性。并根据模型对走向条带煤柱破坏失稳的机理进行了分析。为条带开采煤柱的稳定性及破坏失稳研究提供了新的理论方法。

The instability and failure of strip coal pillar along strike is a typical nonlinear process. A mechanical model of strip coal pillar is established,based on which,the expression of total potential energy function is derived. Then the cusp catastrophic model for instability and failure of strip coal pillar along strike is set up by catastrophic theory. The formula of necessary and sufficient condition for instability and failure of strip coal pillar along strike is obtained according to the cusp catastrophic model. In the mean time,the effect of underground water on the coal pillar is considered in the model for the first time. The cusp catastrophic model indicates that underground water reduces the strength and the rigidity of core part of coal pillar and leads to sudden instability of coal pillar. At last,the mechanism of instability and failure for strip coal pillar along strike is analyzed according to the cusp catastrophic model. As a result,a new theoretical method of studying the instability and failure of coal pillar of strip-partial mining is put forward.