基于尖点突变理论及非趋势波动分析的滑坡稳定性及变形特征研究

以尖点突变理论及非趋势波动分析为基础，构建滑坡稳定性及变形趋势判断模型。首先利用尖点突变理论对滑坡整体稳定性进行评价，并进一步探讨滑坡的分阶段稳定性特征；再利用非趋势波动分析判断滑坡累计序列和速率序列的整体及分阶段变形趋势，并与稳定性分析结果进行对比。实例表明，两种分析方法的结果具有较好的一致性。在分阶段研究中，等时段和递增时段的分析结果具有明显差异，说明阶段分解方式对结果的影响较大，且以递增时段分析结果的规律性更强。

Study on Stability and Deformation Characteristics of Landslide based on Cusp Catastrophe Theory and Detrended Fluctuation Analysis

The stability and deformation trend judgment model of landslides is built based on cusp catastrophe theory and detrended fluctuation analysis. First of all, we evaluate the cusp catastrophe theory overall on the stability of landslides, and further discuss the phase stability characteristics of landslides.Secondly, the analysis of the previous stage is compared with the non-trend wave analysis to determine the cumulative sequence and velocity sequence of landslides. The overall and phased deformation trends are then compared with the stability analysis results to mutually support the accuracy of the analysis results. The example test shows that the results of the two analysis methods have good consistency, and that overall and each stage of the landslide are in stable states, albeit witha weakening trend. In the phased research process, the analysis results of the incremental period show obvious differences, indicating that the stage decomposition method has a greater impact on analysis results, and the regularity of the results of the analysis with increasing intervals is relatively stronger.