高分辨地震资料处理中导数小波函数的构造

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一尺度域对信号的展开特征，导数小波函数作为基本小波，可以对地震资料处理高分辨分频处理和瞬时特征提取。最后，应用实例证明了检

Construction of derivative wavelet function in high resolution seismic data processing

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. F inally, an application example proves the effectiveness and reasonability of the method.