考虑谱型相关性的水平和竖向地震动向量型危险性与条件谱及其应用研究

Simultaneously considering horizontal and vertical earthquake action compared with horizontal or vertical earthquake action, seismic response of some structures and important facilities will be increased. However, vector hazard and site-specific spectra of horizontal and vertical ground motions and their application for selection of horizontal and vertical ground motions have been little studied. Correlation of spectral shapes of horizontal and vertical ground motions has been chosen as breakthrough point in this project, and correlation coefficient model of spectral shapes of horizontal and vertical ground motions has been built. Taking spectral shapes of horizontal and vertical ground motions following multivariate normal distribution as the theoretical basis, direct and indirect methods of vector hazard analysis and disaggregation of horizontal and vertical ground motions considering correlation of spectral shapes have been proposed. Based on vector hazard analysis and disaggregation results of horizontal and vertical ground motions, generation method of vector conditional spectra of horizontal and vertical ground motions considering correlation of spectral shapes of horizontal and vertical ground motions has been proposed. Applying vector hazard and conditional spectra theory of horizontal and vertical ground motions to selection of horizontal and vertical ground motions, selection method of horizontal and vertical ground motions based on multiobjective optimization has been proposed. This study results in this project can provide the earthquake input basis for seismic analysis and design, multivariate seismic fragility analysis and vector seismic risk assessment of structures simultaneously considering horizontal and vertical earthquake action.

同时考虑水平和竖向地震作用相对于单独考虑水平或竖向地震作用会显著增大一些结构和重要设施的地震响应，但水平和竖向地震动的向量型危险性与场地相关谱及其在选波方法中应用研究都较为匮乏。本项目以水平和竖向地震动谱型相关性为突破口，建立水平和竖向地震动谱型相关系数模型，以水平和竖向地震动谱型服从多元正态分布为理论基础，提出考虑谱型相关性的水平和竖向地震动向量型危险性分析与分解的直接方法和间接方法，基于水平和竖向地震动的向量型危险性分析和分解结果，考虑水平和竖向地震动谱型相关性，提出水平和竖向地震动向量型条件谱生成方法，将水平和竖向地震动向量型危险性和条件谱理论应用在选波方法中，提出基于多目标优化算法的水平和竖向地震动选取方法，为同时考虑水平和竖向地震作用的结构抗震性能分析与设计、多元地震易损性分析和向量型地震风险评估提供地震输入基础。

水平和竖向地震动记录选取是重大工程抗震、地震易损性和地震风险等分析的输入基础，针对当前选波方法对竖向地震动考虑较少的现状，本项目开展了以下研究工作：1）建立了水平和竖向地震动谱型相关性经验模型，验证了水平和竖向谱型服从多元正态分布假设。2）提出了基于蒙特卡洛模拟的水平和竖向地震动向量型危险性分析与分解方法，生成了基于蒙特卡洛模拟的水平和竖向地震动向量型危险性分析与分解程序。3）提出了考虑水平和竖向谱型相关性的地震动广义条件谱方法，生成了考虑竖向地震动的广义条件谱程序。4）以水平和竖向地震动广义条件谱为目标，基于贪心优化算法，给出了同时匹配水平和竖向目标谱的地震动选取方法。5）计算了水平和竖向地震动广义强度参数，建立了水平和竖向地震动广义强度参数相关性模型。6）在现有广义条件强度参数理论基础上，提出了考虑竖向地震动广义强度参数的广义条件强度参数概念，给出了同时匹配场地目标水平和竖向广义条件强度参数分布的地震动选取方法。本项目研究成果将为需要同时考虑水平和竖向地震动作用的重大工程防震减灾工作提供地震危险性分析和地震动选取研究基础。