摘要
边坡系统演化过程具有高度非线性特点,准确刻画系统演变内在规律对边坡稳定分析和预警至关重要。借助时间序列分析手段,利用自相关函数法确定边坡位移监测时间序列最佳延迟时间;利用G-P法确定嵌入维数和关联维数,继而重构位移序列相空间;利用小数据量法计算位移时序最大Lyapunov指数(M_(MLE)),借助关联维数和M_(MLE)对边坡系统演化过程进行混沌特征判定,确定影响边坡稳定的主要因素,挖掘边坡系统演变机理,并借助表征量实现边坡系统稳定性和稳定度分析。将该实测位移序列进行分段处理,描绘并分析其关联维数和M_(MLE)变化规律,指出边坡系统的演化规律一直存在混沌特性,这为边坡预警提供了借鉴。
Because of highly nonlinear characteristics of slope system evolution process,it is very important to characterize system evolution inherent law for the slope stability analysis and early warning.With the help of the means of time series analysis,the autocorrelation function method is used to determine the optimal time delay of the displacement monitoring time series and the G-P algorithm is adopted to calculate the embedding dimension and correlation dimension to reconstruct phase space displacement sequence.The method of small data sets is used to calculate the largest Lyapunov exponent of displacement time series.The chaotic characteristics of slope system evolution process are determined by means of correlation dimension and M_（MLE）,and the main factors that influence the slope stability are obtained.The mechanism of slope system evolution is discussed.The stability and the degree of stability of slope system are analyzed with the help of characterization parameters.Finally,the change curves of correlation dimension and M_（MLE）of the segmented observed displacement sequence are analyzed.It points out that the evolution laws of slope system has always been the chaotic characteristics,which provides a reference for the warning of slope.
出处
《水电能源科学》
北大核心
2016年第12期160-163,共4页
Water Resources and Power
