基于尖点突变理论的基坑失稳监测数据研究

Research of Monitoring Data of Foundation Pit Instability Based on Cusp Catastrophe Theory

以某基坑工程为例,依据失稳状态下所得深层水平位移监测数据,基于尖点突变理论建立基坑系统状态分析函数,研究该理论在基坑稳定性判别中的适用性。将理论判别结果与基坑实际稳定性状态进行对比,结果表明:尖点突变理论可以用以基坑稳定性做出评价,突变特征值对于系统稳定性状态的改变比速率法更为敏感。尤其是实测速率超过于预警值后,利用尖点突变特征值,可以更好地评价基坑稳定性状态。

In this paper,a foundation pit project is taken as an example,based on the deep horizontal displacement monitoring data obtained under the unstable state,the state analysis function of the foundation pit system is established based on the cusp catastrophe theory,and the applicability of the theory in the study of foundation pit stability is studied.Comparing the theoretical discrimination result with the stability state of the foundation pit,the result shows that the cusp catastrophe theory can be used to evaluate the stability of the foundation pit,and the catastrophe characteristic value is more sensitive to the change of the stability state of the system than the rate method,especially After the measured rate exceeds the warning value,the cusp mutation characteristic value can be used to better evaluate the stability of the foundation pit.