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三分量地震资料的偏振分析
引用本文:刘建华,刘福田,胥頤.三分量地震资料的偏振分析[J].地球物理学进展,2006,21(1):0-10.
作者姓名:刘建华  刘福田  胥頤
作者单位:中国科学院地质与地球物理研究所,北京,100029;中国科学院地质与地球物理研究所,北京,100029;中国科学院地质与地球物理研究所,北京,100029
基金项目:国家自然科学基金(40034010),中科院重大项目(KZCX1-SW-18-01)资助
摘    要:将奇异值分解运用于三分量地震资料矩阵中,得到了径向能量这一具有物理内涵的数学表达式.证明了资料矩阵的总能量可用奇异值的平方和来表达,以及P波到达的径向能量最大值在第一奇异向量方向出现.据此得到偏振属性,其中最显著的特点P波出现在径向能量接近于最大的地方,这可以给弱信号提供较准确的到时.为发展同时利用偏振和频散资料的联合反演不同周期面波相速度的横向不均匀分布这一新的反演方法提供偏振分析的基础数据.

关 键 词:三分量地震信号  径向能量法  偏振分析  偏振属性
文章编号:1004-2903(2006)01-0006-05
收稿时间:2005-05-10
修稿时间:2005-05-102005-06-20

Polarization analysis of three-component seismic data
LIU Jian-hua,LIU Fu-tian,XU Yi.Polarization analysis of three-component seismic data[J].Progress in Geophysics,2006,21(1):0-10.
Authors:LIU Jian-hua  LIU Fu-tian  XU Yi
Institution:Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
Abstract:Applying singular value decomposition in a matrix of three-component seismic data,we obtained the mathematical expression of the radial energy with definite physical connotation,and demonstrated that the total energy of the data matrix is expressed by the square sum of a singular value.Therefore the maximum of the radial energy during the P-wave arrive appears in the direction of the first singular vector.In view of the above,the polarization attributes are obtained.Of them the most remarkable feature is that P-wave emerges in the point there the radial energy is close to maximum.It is possible to pick the more accurate arrival time for a weak signal,and to supply simultaneously inverting the lateral inhomogeneity of the surface wave phase velocity with different periods using polarization and dispersion data with fundamental data on the polarization analysis.
Keywords:the three-component seismic signal  the radial energy method  polarization analysis  polarization attribute
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