基于尖点突变模型的承压水底板突水研究

以尖点突变理论为基础，采用力学平衡和能量平衡的原理，分析了矿井承压水底板关键层突水失稳的力学机理，建立了其尖点型突变模型，给出了底板关键层失稳的力学条件。通过工程实例的分析，证明用数值模拟分析和预测矿山底板突水是切实可行的。

Study of Water-inrush from Water-pressed Floor Based on Cusp Catastrophic Model

In this paper, based on cusp catastrophic theory, the mechanical mechanism of water-inrush due to the destabilization of the key stratum of mine water-pressed floor is analyzed by using the principles of force balance and energy balance, the cusp catastrophic model of key stratum of floor is established, and the mechanical conditions of destabilization of key stratum are given out. Through the analyses of an engineering example, it is proved that it is practical to use cusp catastrophic model and numerical simulation analyze and predict the water-inrush from mine floor.