Synchrosqueezing Wavelet Transform And Its Application In Seismic Data Processing

Synchrosqueezing Wavelet Transform is a time-frequency analysis method developed on the basis of Wavelet Transform(CWT).Combining with the idea of Reassignment Method(RM),it can obtain higher time-frequency resolution and signal reconstruction at the same time.In this paper,the principle of SSWT is systematically introduced based on CWT and RM,and the effect of time-frequency analysis and reconstruction results are analyzed through examples.In addition,several improvements and generalizations similar to those of the SSWT algorithm,such as: synchrosqueezing short-time Fourier transform,second-order synchrosqueezing transform and generalized synchrosqueezing transform,etc.Introduced and compared using the model signal and the actual seismic signal.Since the SSWT is based on CWT,it is also subject to the principle of unqualified measurement.To solve this problem,this paper combines Complementary Empirical Mode Decomposition(CEEMD)with SSWT,and first uses CEEMD to decompose signals adaptively.For a series of empirical modal components(IMF),then use different compression wavelet coefficients according to the frequency range of each component,and finally add the time-frequency results of each component to obtain the time-frequency spectrum of the original signal,thereby improving the SSWT.Time-frequency resolution.Seismic signals are typical non-stationary signals.SSWT can obtain good time-frequency characterization.Therefore,this method is an effective tool for processing and analyzing seismic signals.Based on this method,the paper mainly studied the following applications: spectral modeling deconvolution based on SSWT to improve the resolution of seismic data;SSWT-based Q-estimation and anti-Q compensation for attenuated seismic signals;and SSWTbased noise suppression and utilization The SSWT performs low-frequency shadow detection.Through the model and real data tests,and compared with other methods,the validity and superiority of this time-frequency analysis method in seismic data processing are proved.