基于阈值迭代法和加速线性Bregman联合的多震源地震数据同时分离和重建

doi:10.11720/wtyht.2025.0039

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Abstract

Multisource technology has significantly improved the acquisition efficiency of seismic data.However,the acquired data often suffer from severe aliasing and channel missing,necessitating effective reconstruction of missing channels during data separation.Since an individual separation and reconstruction algorithm cannot improve accuracy and computational efficiency simultaneously,this study proposed a method combining the iterative shrinkage-thresholding algorithm(ISTA) and the accelerated linearized Bregman method(ALBM) to leverage ISTA's high post-processing accuracy and ALBM's fast convergence speed for simultaneous separation and reconstruction of multisource data.The simultaneous separation and reconstruction process employed curvelet transform(as a sparse basis),hard threshold function,exponential threshold and acceleration factors,and a novel exponential weighting factor.Finally,the single-source data were separated and reconstructed.The results obtained from the combined method were compared with those obtained using ISTA and ALBM,respectively.Additionally,the noise robustness and denoising capability of the combined method were examined.Both theoretical simulation and practical application demonstrate that the combined method achieves higher accuracy and faster computational efficiency in separating and reconstructing complete single-source signals.

Key words： multisource seismic data separation reconstruction iterative shrinkage-thresholding algorithm(ISTA) accelerated linearized Bregman method(ALBM)

Received: 09 January 2025 Published: 22 July 2025

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	Articles by authors
	Zi-Fen MO
	Da-Xing QIU
	Hua ZHANG
	Chun-Lei ZHANG
	Cheng-Jun HE
	Xi-Xi YANG

Cite this article:

Zi-Fen MO,Da-Xing QIU,Hua ZHANG, et al. Simultaneous separation and reconstruction of multisource seismic data based on the iterative shrinkage-thresholding algorithm and the accelerated linearized Bregman method[J]. Geophysical and Geochemical Exploration, 2025, 49(3): 653-660.

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https://www.wutanyuhuatan.com/EN/10.11720/wtyht.2025.0039 OR https://www.wutanyuhuatan.com/EN/Y2025/V49/I3/653

Different weighting factor curves

Seismic data before and after mixing

The results and errors of different algorithms

Errors after single-channel seismic record processing

The curve of signal-to-noise ratio changing with the number of iterations

Seismic data processing map with noise

Simultaneous separation and reconstruction of real mixed data

The results and errors of three methods for processing actual mixed data

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