主余震序列反应谱加速度值正态检验研究  

Normality test of spectral acceleration values of main-aftershock sequences

作　　者：殷京科 李典庆[1,2] 杜文琪 YIN Jingke;LI Dianqing;DU Wenqi(State Key Laboratory of Water Resources Engineering and Management,Wuhan University,Wuhan 430072,China;Institute of Engineering Risk and Disaster Prevention,School of Water Resources and Hydropower Engineering,Wuhan University,Wuhan 430072,China)

机构地区：[1]武汉大学水资源工程与调度全国重点实验室,湖北武汉430072 [2]武汉大学水利水电学院工程风险与防灾研究所,湖北武汉430072

出　　处：《武汉大学学报(工学版)》2025年第1期1-10,共10页Engineering Journal of Wuhan University

基　　金：国家自然科学基金项目(编号:51909193,4181101263)。

摘　　要：为了验证主余震对数谱加速度的一元正态性以及多元正态性,对单个周期的事件内残差以及多个周期的事件内残差矢量分别开展了正态检验。从NGA-West2地震数据库中共筛选了372条主-余震序列作为一个数据集,利用正态分位数-分位数(quantile-quantile,Q-Q)图、多元峰度检验、二元等概椭圆和Henze-Zirkler test等工具对所选地震动记录开展了正态性检验。结果表明:主余震在各个周期对数谱加速度满足一元正态分布,且多个周期的对数谱加速度矢量基本满足多元正态分布。该结果为主余震对数谱加速度的正态性假定提供了依据,为阐明主震和余震不同自振周期之间谱加速度值的相关性关系奠定了基础。To verify the univariate normality and multivariate normality of the logarithmic spectral accelerations of main-aftershock, normality tests on the intra-event residuals of a single period and the vectors of intra-event residuals at multiple periods are conducted in this paper. A set of 372 main-aftershock sequences were selected from the NGA-West2 database as the data set, and the normality of intra-event residuals of the selected records were inspected using normal quantile-quantile(Q-Q) plot, multivariate kurtosis test, bivariate equal-probability ellipse test and Henze-Zirkler test. It is shown that the logarithmic spectral accelerations of main-aftershock at each period follow the univariate normal distribution, and the vectors of the logarithmic spectrum accelerations at several periods can reasonably follow the multivariate normal distribution. The results provide a basis to verify the assumption of the normality of the logarithmic spectral accelerations of the main-aftershock sequences, which helps clarify the correlation of spectral accelerations at different periods for the mainaftershock sequences.

关 键 词：地震动衰减公式 正态检验 主余震 谱加速度 事件内残差 

分 类 号：P315.9[天文地球—地震学]