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Modeling of non-stationary phase spectrum of earthquake motions 5

地震运动非平稳相位谱建模 5

基本信息

批准号：
13450187
负责人：
SATO Tadanobu
金额：
$ 5.31万
依托单位：
Kyoto University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (B)
财政年份：
2001
资助国家：
日本
起止时间：
2001 至 2003
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-13450187/
关键词：
Modeling of phase spectrum Spatial interpolation of observed phase Regression analysis Group delay time Causality Non-stationary Simulation of Earthquake Motion Stochastic characteristic of group delay time 地震動ウェーブレット解析シミュレーション震源近

项目摘要

In the first part of this research project we developed a practical model to simulate a phase spectrum of.earthquake.ground motions. We used the concept of group delay time which is defined by the derivative of a phase spectrum with respect to circular frequency. We found that it was strongly affected by the rupture directivity in the near source regions and derive regression equations for mean and standard deviation of group delay time. Simulated sample phase spectra were used to simulate. earthquake. motions assuming that Fourier amplitude spectra were given at observation stations. Their time histories were compared with the observed ones. To demonstrate the efficiency. of propose, model of the group delay time we simulated response spectrum compatible design earthquake motions.In the second part we proposed a method to define spatial correlation of group delay time and apply it to simulate earthquake motions at unobserved points using array observation data. In which the Kalman fil … More tering technique was applied to simulate a sample group delay time at each unobserved point. A simulated sample phase spectra was used to simulate earthquake motions at each unobserved point. The simulated motions at observation points coincided well with observed records. This analytical method is very promising for conditional simulationn of earthquake motion at unobserved locations.It is well known that arbitrary amplitude and phase spectra cannot be assigned to simulate an earthquake motion with causality. In the third part of this research, we therefore developed a new method to simulate earthquake motion which could take into account the causality characteristics. We also pointed out that, we needed to define not only the average and standard deviation of group delay time but also the correlation of group delay time between frequencies. : We demonstrated that a non-stationary earthquake motion could be synthesized from phase information reasonably by defining the auto correlation function of group delay time as exponential function type. Less

在本研究项目的第一部分，我们开发了一个实用的模型来模拟地震地面运动的相位谱。我们使用了群延迟时间的概念，它是由相位谱对圆频率的导数定义的。在近震源区，我们发现它受到破裂指向性的强烈影响，并推导了群延迟时间均值和标准差的回归方程。采用模拟样品相谱进行模拟。地震。假定在观测站给出傅立叶振幅谱的运动。将它们的时间历史与观察到的时间历史进行比较。为了证明效率。提出了群延迟时间模型，模拟了响应谱兼容的设计地震运动。在第二部分，我们提出了一种定义群延迟时间空间相关性的方法，并将其应用于利用阵列观测数据模拟非观测点的地震运动。其中利用卡尔曼滤波技术模拟了每个未观测点的样本群延迟时间。用模拟样品相谱模拟每个未观测点的地震运动。模拟的观测点运动与观测记录吻合较好。这种分析方法对于非观测位置地震运动的条件模拟很有前景。众所周知，不能用任意振幅和相位谱来模拟具有因果关系的地震运动。因此，在本研究的第三部分中，我们开发了一种新的方法来模拟地震运动，这种方法可以考虑因果关系特征。我们还指出，我们不仅需要定义群延迟时间的平均值和标准差，还需要定义群延迟时间在频率之间的相关性。通过将群延迟时间的自相关函数定义为指数函数类型，证明了可以合理地从相位信息合成非平稳地震运动。少