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《Geophysical Prospecting for Petroleum》 2013-01
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Optimization of wavelets in multi-wavelet decomposition and reconstruction method

Huang Yue,Xu Duo,Wen Xuekang. Sinopec Key Laboratory of Multi-components Seismic Technology,Deyang 618000,Chin  
It is very important to select the wavelet and its resolution in multi-wavelet decomposition and reconstruction method.In order to well select wavelet,firstly,we calculate the time-frequency spectrums of complex Paul wavelet and complex Morlet wavelet,and discuss the influence of wavelet width controlling parameters on resolution in frequency domain.Then,matching pursuit algorithm is applied to carry out multi-wavelet decomposition and reconstruction on actual seismic data,and theoretically identify best wavelet width controlling the frequency-domain resolution of complex Paul wavelet and complex Morlet wavelet;meanwhile,the difference of the seismic sections reconstructed from the two wavelets is analyzed.Theoretical model and actual data computation results indicate that the two wavelets have different resolution and different shape of frequency spectrum.In actual application,we should select the wavelet in terms of the target:the reconstruction profile based on complex Paul wavelet preserves more low-frequency energy,which is suitable to study the sub-structures with continuous reflection events;the reconstruction profile based on complex Morlet wavelet has large contrast between low-frequency and high-frequency spectrum,which is more suitable to study the seismic wave absorption and attenuation effect.
【CateGory Index】: P631.4
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