基于降秩和稀疏联合约束的地震数据同时重建和去噪

doi:10.11720/wtyht.2024.1404

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Abstract

Field seismic data contain various random noise and irregular channel missing. Their simultaneous reconstruction and denoising is necessary for subsequent data processing. Currently, most simultaneous reconstruction and denoising methods only use a single sparsity or rank reduction constraint. The sparsity constraint exhibits high efficiency but lacks adaptability to various data. In contrast, the rank reduction constraint can adapt to various data but shows a high computational cost. To take a full advantage of different constraints, this study proposed a method for simultaneous reconstruction and denoising of seismic data based on combined constraints. This method regards projection onto convex sets (POCS) based on Fourier transform as the sparsity constraint, and damped multichannel singular spectrum analysis (DMSSA) as the rank reduction constraint. It employs the truncated singular value decomposition (TSVD) algorithm and the exponential threshold equation, fully utilizing the high computational efficiency of the sparsity constraint and the strong adaptability of the rank reduction constraint. As indicated by the processing results of theoretical and field data, this method based on combined constraints can consider and utilize the spatio-temporal correlations of seismic data, achieving higher signal-to-noise ratios via fewer iterations compared to methods based on a single constraint.

Key words： damped multichannel singular spectrum analysis projection onto convex sets reconstruction denoising

Received: 24 September 2023 Published: 16 April 2024

ZTFLH:

P631.4

Corresponding Authors: ZHANG Hua E-mail: 471202090@qq.com;zhhua1979@163.com

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	Articles by authors
	Wen-Jie LI
	Hua ZHANG
	Wang REN
	Hai-Long YE
	Zhao-Qi WU
	Xi-Xi YANG
	Qing PENG

Cite this article:

Wen-Jie LI,Hua ZHANG,Wang REN, et al. Simultaneous reconstruction and denoising of seismic data based on rank reduction and sparsity constraints[J]. Geophysical and Geochemical Exploration, 2024, 48(2): 479-488.

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https://www.wutanyuhuatan.com/EN/10.11720/wtyht.2024.1404 OR https://www.wutanyuhuatan.com/EN/Y2024/V48/I2/479

Reconstruction denoising flowchart under joint constraint conditions

Linear data slicing

Comparison of slices for reconstructing denoising results using different methods on linear data

Comparison of signal-to-noise ratios under different conditions

Simultaneous reconstruction and denoising results of linear 3D data

Nonlinear 3D data and its simultaneous reconstruction and denoising results

Slice comparison of processing results for nonlinear data

Complex nonlinear 3D data and its simultaneous reconstruction and denoising results

Comparison of processing results of measured data

Amplitude spectrum comparison of a single trace

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