2017
DOI: 10.1111/1365-2478.12533
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A model‐based data‐driven dictionary learning for seismic data representation

Abstract: A B S T R A C TPlanar waves events recorded in a seismic array can be represented as lines in the Fourier domain. However, in the real world, seismic events usually have curvature or amplitude variability, which means that their Fourier transforms are no longer strictly linear but rather occupy conic regions of the Fourier domain that are narrow at low frequencies but broaden at high frequencies where the effect of curvature becomes more pronounced. One can consider these regions as localised "signal cones". I… Show more

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Cited by 11 publications
(5 citation statements)
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“…In [12] the authors consider planar waves events recorded in a seismic array that can be represented as lines in the Fourier domain. However, in the real world, seismic events usually have curvature or amplitude variability, which means that their Fourier transforms are no longer strictly linear but rather occupy conic regions of the Fourier domain that are narrow at low frequencies but broaden at high frequencies, where the effect of curvature becomes more pronounced.…”
Section: Geophysics Petroleum Engineeringmentioning
confidence: 99%
“…In [12] the authors consider planar waves events recorded in a seismic array that can be represented as lines in the Fourier domain. However, in the real world, seismic events usually have curvature or amplitude variability, which means that their Fourier transforms are no longer strictly linear but rather occupy conic regions of the Fourier domain that are narrow at low frequencies but broaden at high frequencies, where the effect of curvature becomes more pronounced.…”
Section: Geophysics Petroleum Engineeringmentioning
confidence: 99%
“…Unfortunately, when dealing with DAS recordings containing complex noise, researchers have difficulty in obtaining optimal filtering parameters, which leads to noise residuals and loss of amplitude of the effective signal. In addition, many other methods have been widely used in seismic data processing including singular value decomposition (SVD) (Oropeza and Sacchi, 2011), dictionary learning methods (Chen et al, 2016;Yarman et al, 2018;Wang and Ma, 2020), robust principal component analysis (RPCA) (Cheng et al, 2015;Liu et al, 2021), but the application of these methods in DAS data denoising is rarely reported. It is difficult for conventional methods to provide a better processing effect when the DAS data is seriously disturbed by noise, and give consideration to SNR and resolution.…”
Section: Introductionmentioning
confidence: 99%
“…Unfortunately, obtaining optimal filtering parameters when processing field seismic records is often extremely dependent on manual experience, and errors in coefficient selection may even lead to severe noise residuals and signal leakage. In addition, other representative methods, including singular value decomposition (Oropeza & Sacchi, 2011), weighted nuclear norm minimization (Li et al., 2020), dictionary learning methods (Chen et al., 2016; Wang & Ma, 2020; Yarman et al., 2018) and robust principal component analysis (Cheng et al., 2015; Liu et al., 2021), have also been gradually used for field seismic data denoising and have achieved a good denoising effect. However, when applying the above methods to hydrophone data, we found that although these methods can achieve certain results in terms of denoising, none of the above methods are satisfactory in terms of signal recovery, which motivated us to seek new solutions.…”
Section: Introductionmentioning
confidence: 99%