Three parameter wavelet and its applications to seismic data processing

Gao Jing · Chinese Journal of Geophysics · 2006

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.

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