蝴蝶突变理论在含软弱夹层边坡稳定性评价中的应用

Application of Butterfly Catastrophe Theory in Stability of Slope with Weak Interlayer

影响含软弱夹层边坡的稳定性的因子有很多,建立了软弱夹层的倾角、黏聚力、内摩擦角及厚度4个因子综合影响下的蝴蝶突变模型,并运用综合指标判断边坡的稳定性的状态。对16个试验边坡设置正交试验对边坡的稳定性状态进行分析研究。结果验证蝴蝶突变模型分析方法比传统方法更加简单,避免了多因素分析的复杂性。采用综合指标较直观地判断边坡的稳定性,从而补偿了传统最小安全系数法分析稳定性的模糊不确定。蝴蝶突变模型可为类似工程提供相应参考。

There are many factors that affect the stability of slope with weak interlayer. The butterfly catastrophe model with 4 factors of inclination, cohesion, internal friction angle and thickness of weak interlayer was established, and the stability of slope was judged by comprehensive index. The stability of slope was analyzed by orthogonal test for 16 test slopes. The results show that the analysis method of the butterfly catastrophe model was simpler than the traditional method and the complexity of the multifactor analysis was avoided. The stability of slope can be judged intuitively by the comprehensive index, thus compensating the fuzzy uncertainty of the stability analysis of the traditional minimum safety factor method. The butterfly catastrophe model can provide a reference for similar engineering.