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Noise attenuation using adaptive wavelet threshold based on CEEMD in f-x domain

MIN JI1 ,  XIANGYUAN ZHAO2 ,  WEI ZHU3 ,  YUCHUN YOU2 ,  JINFENG ZHANG4 ,  MOHAN SHANG2 ,  XIAOYA CHUAI5 ,  YAJUAN XUE6 ,  CHENHAO LIAN7 ,  WEI CHEN7
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1 Key Laboratory of Marine Oil and Gas Reservoirs Production, Sinopec, Beijing, P.R. China.,
2 Petroleum Exploration and Production Research Institute, Sinopec, Beijing 102206, P.R. China.,
3 Changqing Industrial Group Co., Ltd, Petro China Changqing Oilfield Branch, Xi’an, P.R. China.,
4 No.5 Oil Production Plant, Petro China Changqing Oilfield Branch, Xi’an, P.R. China.,
5 College of Geophysics, China University of Petroleum-Beijing, Beijing 102249, P.R. China.,
6 School of Communication Engineering, Chengdu University of Information Technology, Sichuan, P.R. China.,
7 School of Geophysics and Petroleum Resources, Yangtze University, Hubei, P.R. China.,
JSE 2023, 32(2), 131–153;
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

Ji, M., Zhao, X.Y., Zhu, W., You, Y.C., Zhang, J.F., Shang, M., Chuai, X., Xue, Y., Lian, C.H. and Chen, W., 2023. Noise attenuation using adaptive wavelet threshold based on CEEMD inf-x domain. Journal of Seismic Exploration, 32: 131-153. Noise attenuation plays an important role in seismic signal processing. Complementary Ensemble Empirical Mode Decomposition (CEEMD) is a classic algorithm for signal decomposition and is usually used for denoising. This algorithm is used to attenuate random noise by removing some high-frequency intrinsic mode functions (IMFs), apparently resulting in insufficient noise attenuation and loss of effective signal. Wavelet threshold denoising can be used to attenuate the useless part and enhance the useful part of the signal by selecting the appropriate threshold. Wavelet threshold denoising is often combined with CEEMD in time domain to achieve relatively good effects, but some of signal between seismic traces are fragmented. This paper proposes improved adaptive wavelet threshold denoising based on CEEMD in f-x domain. The new threshold function we proposed is constructed on the basis of the traditional soft and hard threshold functions, which overcomes the constant deviation and avoids the phase step phenomenon. The processing results for simulated and field data show that the proposed method has better attenuation effect on random noise than traditional methods.

Keywords
complementary ensemble empirical mode decomposition
intrinsic mode function (IMF)
adaptive wavelet threshold
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Journal of Seismic Exploration, Electronic ISSN: 0963-0651 Print ISSN: 0963-0651, Published by AccScience Publishing
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