矿坑底板突水的突变模型研究

矿坑底板突水是一个典型的突变过程 ,将突变理论首次应用于矿山底板突水的研究之中 ,通过研究煤矿底板系统能量的失稳 ,建立了预测矿坑底板突水的尖点突变模型 (CuspCatastrophicModel) ,导出了系统失稳时受力的临界值及失稳时底板变形和能量释放的表达式 ,为矿山突水预报提供了新的理论方法。

Research on a cusp catastrophic model of water bursting in pit floors

Water bursting in pit floors is a typical catastrophic process. A catastrophic theory was applied in water bursting in pit floors for the first time. Through the research on the instability of energy in the floor system of coal mine, a cusp catastrophic model applied to forecasting water bursting in the floor was put forward. The formulas of the critical stress, the strain and the released energy of the instable floor were developed.So, a new theory approach was offered for the forecast of water bursting in mine.