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地震记录的广义分维及其应用
引用本文:常旭,刘伊克.地震记录的广义分维及其应用[J].地球物理学报,2002,45(6):839-846.
作者姓名:常旭  刘伊克
作者单位:中国科学院地质与地球物理研究所,北京,100101
基金项目:中国科学院知识创新工程重要方向项目 (KZCX2 -1 1 2 ),国家自然科学基金项目 (4 0 1 740 1 7) .
摘    要:根据分形理论,对不同信噪比地震记录的分维特征进行了分析,指出地震记录中噪声背景与信号部分具有不同的分维尺度,地震道时间序列的分维数值与计算时所用的测量尺度有关,因此,可利用广义分维的概念计算地震记录的分数维.地震记录广义分维大大提高了分形算法在计算机自动识别地震波震相时的抗噪声能力.最后用本文方法对实际地震记录进行了有效的初至波自动拾取.

关 键 词:广义分维  地震信号  自动拾取.  
文章编号:0001-5733(2002)06-0839-08

THE GENERALIZED FRACTAL DIMENSION OF SEISMIC RECORDS AND ITS APPLICATIONS
CHANG XULIU YI-KE.THE GENERALIZED FRACTAL DIMENSION OF SEISMIC RECORDS AND ITS APPLICATIONS[J].Chinese Journal of Geophysics,2002,45(6):839-846.
Authors:CHANG XULIU YI-KE
Institution:The Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100101, China
Abstract:Based on fractal theory, the fractal dimension character is construed to the seismic records with different noises. The both of signal part and noise background part in seismic records have a different fractal dimensional range that depends on the measuring rulers used in the calculation, and the fractal dimensional values are relative with the measuring rulers. Therefore, a new concept that is generalized fractal dimension can be used to calculate the fractal dimension of seismic record. The results of numerical calculation indicate that the algorithm of generalized fractal dimension shows a strong resistance to noise. Some effective examples to pick seismic first arrivals and continued signals are given in this paper.
Keywords:Generalized fractal  Seismic signal  Automatic pick-up    
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