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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。
Based on the simulation formula of seismic wavelet, the zero-phase and mixed-phase wavelet can be well simulated, and in a certain sense, the maximum phase and the minimum phase wavelet can be approximated. The simulated wavelet add the appropriate correction term to meet the allowable conditions, can be used as a wavelet function. Based on the improved Morlet wavelet, the derivative wavelet function is derived and can be better adapted to the seismic data processing. According to the characteristics of signal expansion in time-scale domain and the derivative wavelet function as basic wavelet, the high-resolution frequency-division processing and instantaneous feature extraction of seismic data can be performed. Finally, examples are given to demonstrate the validity and rationality of constructing derivative wavelet functions.