多维标度法在地震动空间特性分析中的应用

摘要

为寻找适于工程应用的空间地震动输入合理性的判定工具,提出了一种将多维标度法(MDS)和动态时间弯曲距离(DTW)相结合揭示空间地震动相关结构的方法.该方法可将多点地震动数据的差异转化在一个低维空间内,从而通过各点地震动在该空间内对应的位置反映空间地震动台阵数据之间的差异.较传统的方法,该方法具有较好的直观性且有利于挖掘地震动数据间的潜在关联,利用该方法在对某次地震的台阵记录以及相应合成人工波的分析中取得了较好的效果.%In order to search for a tool to test whether the earthquakes is reasonable for the design, a method based on multidimensional scaling (MDS) and the dynamic time warping distance (DTW) was proposed, which represents the dissimilarities of earthquake in a low dimensional space in a visualized way and uncovers hidden structure of earthquake. The analysis of record from the seismic array shows that the proposed method can be a powerful tool in detecting the correlation structure of spatial ground motion as well as verifying whether the algorithm is producing properly correlated motions in space.