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中文摘要：
首先根据金川二矿水平矿层的开采特点和地质及力学背景,将其简化为两端受水平力作用的弹性地基梁。然后依据非线性突变理论建立水平矿层的尖点突变模型并得到矿层的失稳条件。最后根据突变模型及失稳条件对水平矿层在逐渐被采薄过程中的稳定性状况进行预测分析,得出矿层不会发生几何非稳定性突然失稳事故的结论。
英文摘要：
At first,the HOL was simplified as a mechanical model of a beam on elastic foundation according to its geological condition and cutting characteristics.Then,using catastrophe theory,a catastrophe model was established for the HOL.Based on the model,the necessary and sufficient condition of the hazardous geometrical instability accident for the HOL was obtained.At last,the geometrical instability for the HOL was analyzed with the necessary condition.Analytical result shows that the abrupt catastrophic geometrical instability accident for the HOL will not happen.
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