摘要
本文建立了煤层底板突水的一个尖点突变 (cusp)模型 ,并分析了煤层底板失稳破坏发生突水的机制。基于定态曲面方程 ,可求得煤层底板水压应力比 Ip。当 Ip >1时 ,发生突水 ;当 Ip <1时 ,不会发生突水。基于分支曲线方程 ,可求得煤层底板突水临界采动导水裂隙带深度 h1 l,当 h1 >h1 l 时 ,发生突水 ;当 h1 <h1 l 时 ,不会发生突水。
A cusp catastrophic model of water-inrush from coal floor is established and a mechanism for water inrush due to the floor instability and destruction is analysed in the paper. The ratio of water pressure and stress, I p, can be derived from the model. When I p>1,water-inrush from the floor can be caused. When I p<1, water-inrush from coal floor can not be caused. The critical depth of the mining water-conducting fissure zone, h 1l, for water inrush from coal floor can be derived from the bifurcation curve equation. When h 1>h 1l, water inrush from coal floor can be caused. When h 1<h 1l, water-inrush from coal floor can not be caused.
出处
《工程地质学报》
CSCD
2000年第2期160-163,共4页
Journal of Engineering Geology
基金
国家自然科学基金资助! (批准号 :5 97740 0 1)
