高分辨地震资料处理中导数小波函数的构造

Construction of derivative wavelet function in high resolution seismic data processing

中国科学院地球物理研究所,北京100101

Institute of Geophysics, Chinese Academy of Sciences, Beijing 100101 GPP,2000,39

基于地震子波的模拟公式,可以很好地模拟零相位和混合相位子波,在一定意义上也可以近似模拟最大相位及最小相位子波。模拟出的子波再加上适当的修正项后满足允许条件,可作为小波函数。基于改进的Morlet小波,推导出导数小波函数,能更好地适应于地震资料处理。根据构造出的各种小波函数在时间—尺度域对信号的展开特征,导数小波函数作为基本小波,可以对地震资料进行高分辨分频处理和瞬时特征提取。最后,应用实例证明了构造导数小波函数的有效性和合理性。

The modeling formula based on seismic wavelet can wel l simulate zero-ph ase wavelet and hybrid-phase wavelet, and also approximate maximal-phase and m inimal-phase wavelet in a certain sense. The modeling wavelet can be used as wa vel et function after suitable modification item added to meet some conditions. On t he basis of the modified Morlet wavelet, the derivative wavelet function has bee n derived. As a basic wavelet, it can be used for high resolution frequency-div i sion processing and instantaneous feature extraction, in accordance with the sig nal expanding characters in time and scale domains by each wavelet structured. Finally, an application example proves the effectiveness and reasonability of the method.