Application of the wavelet transform in seismic data processing for the development of new noise reduction techniques

Fotios P. Kourouniotis; Robert F. Kubichek; Nicholas G. K. Boyd III; Arun K. Majumdar

doi:10.1117/12.255273

23 October 1996 Application of the wavelet transform in seismic data processing for the development of new noise reduction techniques

Fotios P. Kourouniotis, Robert F. Kubichek, Nicholas G. K. Boyd III, Arun K. Majumdar

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Proceedings Volume 2825, Wavelet Applications in Signal and Image Processing IV; (1996) https://doi.org/10.1117/12.255273
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

New techniques for developing more efficient noise reduction schemes are presented and implemented by applying the wavelet transform (WT) to a series of stationary and non- stationary signals. Their effectiveness is illustrated with specific applications to both real and synthetic seismic data, and the superiority over Fourier transform (FT) based methods is demonstrated. These methods aim at the efficient reduction of the effects that surface waves, airwaves, and direct waves can have on the interpretation of a seismic record. We first apply the WT on each trace in a common- depth-point gather and then perform stacking in the WT domain and compute both the mean and median transforms. Then, the signal-to-noise ratio of the stacked transforms is estimated and used as a criterion to improve the quality of the transformed data, and finally the total energy in the stacked WT plane is computed and redistributed in order to boost weak events. The advantage of stacking in the WT domain is that it allows for detection of weak reflections overpowered by high amplitude surface and air waves. Additionally, it is shown that by frequency modulating a mother wavelet, further attenuation of surface waves, airwaves, and first breaks may be achieved.

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Fotios P. Kourouniotis, Robert F. Kubichek, Nicholas G. K. Boyd III, and Arun K. Majumdar "Application of the wavelet transform in seismic data processing for the development of new noise reduction techniques", Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); https://doi.org/10.1117/12.255273

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