三参数小波及其在地震资料分析中的应用

提出了一类含有三个可调参数的分析小波（称为三参数小波），通过选择这三个参数，可使其最适合于所给定的问题．Morlet小波及改进的Morlet小波是其特例．通过对三参数小波中的参数加以约束，可以获得一类新的近似解析小波．论证了通过恰当的选择参数，三参数小波不仅适合于分析包含慢变频率和振幅分量的信号，而且也适合于包含快变分量的信号．以三参数小波为分析小波，提出了一种用于薄互层地震资料分析的方法．该方法能够刻画薄互层的沉积旋回，也能研究薄互层内部的局部结构，并采用模型资料验证了方法的有效性．

Three parameter wavelet and its applications to seismic data processing

In this paper,we develop a new type of analyzing wavelet with three parameters,and termed as the three parameter(TP) wavelet.The choice of parameter values enables the wavelet to be optimized for a given problem.By forcing some constraints upon the TP wavelet parameters,we obtain a new type of analyzing wavelet that is an approximate analytic wavelet.We demonstrate that a TP wavelet,through appropriate choice of its parameters,is suitable for the analysis of not only signals containing slowly varying frequency and amplitude components,but also rapidly varying ones.We propose a new method for studying the seismic data of thin interbeds using a TP wavelet as the analyzing wavelet.This method can characterize the deposit gyration of thin interbeds,in addition to exploring their local structure.Its performance is evaluated with synthetic data and real data.