| 加速度地震记录服从三维高斯分布的证明与应用 |
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| 引用本文： | 马亮,卢建旗,程建武.加速度地震记录服从三维高斯分布的证明与应用[J].大地测量与地球动力学,2022,42(2):199-202. |
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| 作者姓名： | 马亮 卢建旗 程建武 |
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| 作者单位： | 甘肃省地震局,兰州市东岗西路450号,730000;中国地震局工程力学研究所,哈尔滨市学府路29号,150080 |
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| 基金项目： | 中国地震局兰州地震研究所地震科技发展基金(2020Q14)。 |
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| 摘 要： | 利用加速度记录分析P波质点的受力状态、P波质点随机震动的概率分布及其偏振现象，结果显示，P波质点随机震动的受力矢量服从三维高斯分布，其概率密度呈椭球状分布，可通过加速度记录的协方差矩阵求出偏振椭球的几何参数，从而求出震中方位角。
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| 关 键 词： | 质点受力矢量 结构随机震动 三维高斯分布 置信椭球 偏振椭球 协方差矩阵 |
Proof and Application of Three Dimensional Gaussian Distribution of Acceleration Seismic Records |
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| MA Liang,LU Jianqi,CHENG Jianwu.Proof and Application of Three Dimensional Gaussian Distribution of Acceleration Seismic Records[J].Journal of Geodesy and Geodynamics,2022,42(2):199-202. |
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| Authors: | MA Liang LU Jianqi CHENG Jianwu |
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| Institution: | (Gansu Earthquake Agency,450 West-Donggang Road,Lanzhou730000,China;Institute of Engineering Mechanics,CEA,29Xuefu Road,Harbin150080,China) |
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| Abstract: | We use acceleration records to analyze the force state of P-wave particle, the probability distribution of random vibration of P-wave particle and its polarization phenomenon. The results show that the force vector of P-wave particle random vibration obeys three-dimensional Gaussian distribution, and its probability density diagram is elongated ellipsoid. The geometric parameters of polarization ellipsoid can be obtained by the covariance matrix of acceleration records, and the epicenter azimuth can be obtained. |
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| Keywords: | force vector of particle random vibration of structure three-dimensional Gaussian distribution confidence ellipsoid polarization ellipsoid covariance matrix |
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