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The application of high-order cumulants zero slice in wavelet phase correction

YONGSHOU DAI1 ,  YANAN ZHANG1,2 ,  MANMAN ZHANG1 ,  RONGRONG WANG1 ,  PENG ZHANG1
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1 College of Information and Control Engineering, China University of Petroleum, Qingdao 266580, P.R. China.,
2 Qing Dao Topscomm Communication Inc., Qingdao 266024, P.R. China.,
JSE 2015, 24(2), 151–167;
Submitted: 9 June 2025 | Revised: 9 June 2025 | Accepted: 9 June 2025 | Published: 9 June 2025
© 2025 by the Authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
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Abstract

Dai, Y., Zhang, Y., Zhang, M., Wang, R. and Zhang, P., 2015. The application of high-order cumulants zero slice in wavelet phase correction. Journal of Seismic Exploration, 24: 151-167. To solve the problem of Gaussian noise sensitivity in the traditional seismic wavelet phase correction criteria, a wavelet phase correction method based on high-order cumulants (HOCs) zero slice was proposed, and its application conditions and scope were researched. The wavelet phase correction results were evaluated based on the criterion of calculating the HOCs zero slice of deconvolution results. Because of HOC’-s’ insensitivity to Gaussian noise, the method could effectively achieve the wavelet phase correction under conditions with Gaussian noise pollution. A simulation showed the effectiveness of the method, but the criterion was limited by data length, and the criterion’s anti-noise capabilities could be improved with increased data length. The processing of actual seismic data demonstrated the practicability of the method. This method provides a new method of wavelet phase correction, and the criterion based on HOCs zero slice can be used in deconvolution and seismic wavelet estimation.

Keywords
high-order cumulants (HOC)
zero slice
wavelet phase correction
evaluation criterion
Gaussian noise
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Journal of Seismic Exploration, Electronic ISSN: 0963-0651 Print ISSN: 0963-0651, Published by AccScience Publishing
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