底板突水煤层的突变学特征

对建立在力学分析基础上的突水条件进行适当变换，得到煤层底板突水势函数，它符合尖点突变模型。进一步分析，发现煤层底板突水具有突变、缓慢两条路径，并在突水临界点附近具有发散性和４ 模态软化等性质。根据这些特性，可通过调控煤层底板突水条件使之不突水，从而达到煤层底板突水治理并防患于未然的目的。

The Catastrophic Character of Water-Inrush from Coal Floor

Through appropriately changing the water inrush condition based on mechanical analysis, the potential energy function of water inrush from coal floor could be derived, which conforms to the catastrophic model. Water inrush from coal floor is found to have two routes, catastrophic and slowmoving, and to have divergent character and modality softening character and so on. According to these characters, water inrush from coal floor could be hindered through adjusting and controllong the water inrush condition from coal floor, so that the purpose of preventing the water inrush from coal floor could be achieved.