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声子波及其在地震波资料分解中的应用
引用本文:陈凌,吴如山,陈镲,王伟君. 声子波及其在地震波资料分解中的应用[J]. 地球物理学报, 2001, 44(3): 369-378
作者姓名:陈凌  吴如山  陈镲  王伟君
作者单位:1. 中国地震局地球物理研究所, 100081;2. Modeling and ImagingLaboratory, Center for theStudy of Imaging and Dynamics of the Earth, University of California, Santa Cruz; U.S.A;3. 中国地震局分析预报中心, 北京100036;
基金项目:国家基础研究重点项目!( 1 9980 4 0 7)
摘    要:声子波是由声波波动方程的解构成的一种物理子波,如果不考虑吸收和散射,声子波的传播是相当简单的;相反地,数学子波的传播即使在均匀介质中也是极其复杂的.作为波动方程的解,声子波比一般的数学子波更能有效地应用于复杂声波和地震波的分解和分析.本文从Kaiser的声子波理论出发,给出了通过分别引入点源波形的复时间函数和点源虚时间坐标来构成声子波的两种解释,并对点源模型的合成地震图和实际复杂模型的地震波资料进行了时-空域的声子波变换,说明了声子波应用于地震波资料分解的有效性.

关 键 词:声子波  声子波变换  地震波资料的分解  
文章编号:0001-5733(2001)03-0369-10
收稿时间:2000-09-13

ACOUSTIC WAVELET AND ITS APPLICATIONS TO SEISMIC DATA DECOMPOSITION
CHEN LING ) WU RU SHAN ) CHEN YONG ) WANG WEI JUN ) ) Institute of Geophysics,China Seismological Bureau,Beijing ,China ) Modeling and Imaging Laboratory,Center for the Study of Imaging and Dynamics. ACOUSTIC WAVELET AND ITS APPLICATIONS TO SEISMIC DATA DECOMPOSITION[J]. Chinese Journal of Geophysics, 2001, 44(3): 369-378
Authors:CHEN LING ) WU RU SHAN ) CHEN YONG ) WANG WEI JUN ) ) Institute of Geophysics  China Seismological Bureau  Beijing   China ) Modeling  Imaging Laboratory  Center for the Study of Imaging  Dynamics
Affiliation:1. I nst itute of Geophysics, China S ei smological Bureau , Bei jing 100081, China;2. Modeling and Imaging L aboratory , Center for the S tudy of Imaging and Dy namics of the Ear th , Uni versity of Calif or nia, S anta Cruz . U. S . A .;3. Cent er f or A nalysis and Pred iction , China Seismolog ical Bu reau , Beij ing 1000036, China
Abstract:Acoustic wavelet is one type of physical wavelets constructed based on the acoustic wave equation. Unless scattering and absorption occur, the propagation of such wavelets is straightforward; while for mathematical wavelets, even propagation in homogeneous media becomes considerably complicated. As solutions of wave equation, acoustic wavelets are mostly suitable for the decomposition and analysis of complicated acoustic or seismic wave fields. Wu et al. introduced acoustic wavelets into seismic data analysis and opened a new area for the application of physical wavelets to the study of seismic signals. In this paper, based on Kaiser's acoustic wavelet theory, two kinds of construction methods of acoustic wavelet are given through introducing complex time function and imaginary time coordinate of point sources, respectively. The acoustic wavelet transform (AWT) in time space domain is applied both to the synthetic seismograms of point sources and to the seismic data produced by the complicated SEG EAEG salt model. The obtained results further indicate the effectiveness of acoustic wavelet applications to the decomposition of seismic data. [
Keywords:Acoustic wavelet   Acoustic wavelet transform (AWT)   Seismic data decomposition.  
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