基于<i>f-x</i>域时频非凸正则化低秩矩阵近似的共偏移距道集去噪方法

doi:10.11720/wtyht.2022.1533

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Abstract

Random noise attenuation played an important role in the seismic data processing. The low-rank estimation of the seismic signal in the time-frequency domain is essentially a trace-by-trace process, which cannot exploit the channel-to-channel coherence of the signal. We propose a novel random noise attenuation based on f-x low-rank matrix approximation with nonconvex regularization. Firstly, the noisy seismic data is transformed into the f-x domain by Fourier transform. Then, the time-frequency method is employed to decompose each discrete frequency slice. Finally, we estimate the sparse low-rank matrix from the obtained noisy matrix. This method enables the denoising of non-stationary signals by exploiting the spectral differences between signal and noise. Compared with the common shot and mid-point gathers, the common offset gather is characterized by flat events, which basically satisfies the assumption of linear events for f-x domain denoising, and it is suggested that the proposed algorithm should be applied to the common offset gather. Synthetic and real data sets demonstrate the performance of our proposed method in random noise suppression and preserving more useful energy.

Key words： f-x domain time-frequency low-rank matrix approximation common offset gather random noise

Received: 24 September 2021 Published: 03 January 2023

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	Articles by authors
	Zhan-Zhan SHI
	Su PANG
	Yuan-Jun WANG
	Yue-Long CHI
	Qiang ZHOU

Cite this article:

Zhan-Zhan SHI,Su PANG,Yuan-Jun WANG, et al. Random noise attenuation of common offset gathers by f-x low-rank matrix approximation with nonconvex regularization[J]. Geophysical and Geochemical Exploration, 2022, 46(6): 1444-1453.

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https://www.wutanyuhuatan.com/EN/10.11720/wtyht.2022.1533 OR https://www.wutanyuhuatan.com/EN/Y2022/V46/I6/1444

Comparison of standard nuclear norm and nonconvex regularizations

Geological model and seismic data forwarding

Denoised results and noise sections in the common offset gathers

Comparison of the three denoising algorithms in the common offset gathers with a single trace

Comparison of denoising results of two domains in common shot gathers

Field seismic data

Comparison of denoising algovithms for common offset gathers of the field data

Comparison of the field data’s denoising results of the two domains in common shot gathers

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