基于动态时间规整的一维土层地震反应分析方法的定量评价

Quantitative evaluation of 1D seismic response analysis methods of soil layers based on dynamic time warping

为定量评价一维土层地震反应分析方法的计算加速度反应谱和实测记录之间的差距,收集整理2418组DEEPSOIL、SHAKE2000、SOILQUAKE和SOILRESPONSE四种一维数值模拟方法的计算加速度反应谱,并以日本KiK-net强震台网的实测记录为基准,验证动态时间规整(Dynamic Time Warping,DTW)算法用于定量评价反应谱差距大小的适用性,对比分析不同场地类别和不同地表峰值加速度(Peak Ground Acceleration,PGA)区间的实测和计算加速度反应谱之间的DTW距离。结果表明:Ⅱ类场地下,PGA小于0.2g时,四种方法的平均DTW距离相差不大,PGA大于0.2g时SOILQUAKE方法的平均DTW距离较小;Ⅲ类场地下,PGA小于0.2g时DEEPSOIL方法的平均DTW距离较小,PGA大于0.2g时SOILRESPONSE方法的平均DTW距离较小;Ⅳ类场地下,PGA小于0.1g时DEEPSOIL方法的平均DTW距离较小,PGA大于0.1g时SOILRESPONSE方法的平均DTW距离较小;不同场地类别下,四种方法的DTW距离均随PGA的增大而增大,其中SOILRESPONSE在Ⅲ、Ⅳ类场地的DTW距离增速明显小于其他三种方法。DTW距离能准确有效地反映反应谱之间的差距,为一维土层地震反应分析方法的定量评价提供了新方法。

To quantitatively evaluate the gap between the calculated acceleration response spectra of 1D soil seismic response analysis methods and the actual records,2418 groups of acceleration response spectra calculated by four 1D numerical simulation methods(i.e.,DEEPSOIL,SHAKE2000,SOILQUAKE,and SOILRESPONSE)were collected in this research.Based on the actual records of KiK-net in Japan,the applicability of the dynamic time warping(DTW)algorithm for quantitatively evaluating the response spectra gap was verified,and the DTW distances between actual records and calculated acceleration response spectra of different sites and different peak ground acceleration(PGA)intervals were compared and analyzed.Results revealed that on classⅡsites,when PGA is less than 0.2 g,the average DTW distances of the four methods have a slight gap,and when PGA is larger than 0.2 g,the average DTW distance of the SOILQUAKE method is smaller than others.On class III sites,when PGA is less than 0.2 g,the average DTW distance of the DEEPSOIL method is smaller,and when PGA is larger than 0.2 g,the average DTW distance of the SOILRESPONSE method is smaller than others.On class IV sites,when PGA is less than 0.1 g,the average DTW distance of the DEEPSOIL method is smaller,and when PGA is larger than 0.1 g,the average DTW distance of the SOILRESPONSE method is smaller than others.On different classes of sites,the DTW distances of the four methods increase as PGA increases,and the growth rate of the DTW distance for the SOILRESPONSE method is lower than the three other methods on classesⅢandⅣsites.DTW distance can accurately and effectively reflect the gap among the spectra,thus providing a new method for quantitative evaluation of 1D soil seismic response analysis methods.