陷落柱突水的尖点突变模型研究

Study on tip Mutation Model of Water Inrush Fromcollapse Column

司马煤矿陷落柱较为发育,是下组煤开采水害防治的重要隐患。通过尖点突变理论对陷落柱突水的渗流突变过程进行研究,构建了渗流速度比、水压致突因子和时间因子三个突水关键因素间的关系,建立了陷落柱水害的尖点突变模型,并针对司马煤矿陷落柱X3进行突水危险性预测,为陷落柱突水的提前预警提供了强有力的理论基础。

The collapse column of Sima Coal Mine is relatively developed, which is an important hidden danger for the prevention and control of water damage in the coal mining of the next group. By cusp catastrophe theory, the process of collapse column water seepage mutations is studied, and the relationship among seepage velocity ratio, hydraulic fracturing process factor and time factor, three water inrush factors, is built, and the cusp catastrophic model of water disasters is established, and the risk of water inrush from collapse column X3 in Sima Coal Mine is predicted, which provides a strong theoretical basis for early warning of water inrush from collapse column.