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Cadzow reconstruction

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Journal Article
Journal: Geophysics
Published: 11 December 2012
Geophysics (2013) 78 (1): A1–A5.
...Mostafa Naghizadeh; Mauricio Sacchi ABSTRACT We tested a strategy for beyond-alias interpolation of seismic data using Cadzow reconstruction. The strategy enables Cadzow reconstruction to be used for interpolation of regularly sampled seismic records. First, in the frequency-space ( f - x ) domain...
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Journal Article
Journal: Geophysics
Published: 21 December 2012
Geophysics (2013) 78 (1): V21–V30.
...Jianjun Gao; Mauricio D. Sacchi; Xiaohong Chen ABSTRACT Rank reduction strategies can be employed to attenuate noise and for prestack seismic data regularization. We present a fast version of Cadzow reduced-rank reconstruction method. Cadzow reconstruction is implemented by embedding 4D spatial...
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(a) A common offset seismic section of a Gulf of Mexico data set. (b) Inter...
Published: 11 December 2012
Figure 2. (a) A common offset seismic section of a Gulf of Mexico data set. (b) Interpolated data using de-aliased Cadzow reconstruction with α = 2 .
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(a) Original data. (b) Data after interlacing three zero traces between the...
Published: 11 December 2012
Figure 3. (a) Original data. (b) Data after interlacing three zero traces between the available traces in the X - and Y -directions. (c) Interpolated data using two passes of multidimensional de-aliased Cadzow reconstruction with α = 2 .
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(a) Original real poststack section. (b) Data after decimation the original...
Published: 11 December 2012
Figure 8. (a) Original real poststack section. (b) Data after decimation the original data in the X - and Y -directions by a factor of 2. (c) Interpolated data using multidimensional de-aliased Cadzow reconstruction with α = 2 . (d) The difference between the original
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(a) Cube of the original shot gathers from Gulf of Mexico data set. (b) Dec...
Published: 11 December 2012
Figure 5. (a) Cube of the original shot gathers from Gulf of Mexico data set. (b) Decimated cube of data in X - and Y -spatial directions. (c) Interpolated cube of data using multidimensional de-aliased Cadzow reconstruction with α = 2 . (d) Difference section between original
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Synthetic seismic section with three linear events. (a) Original data. (b) ...
Published: 11 December 2012
Figure 1. Synthetic seismic section with three linear events. (a) Original data. (b) Data after interlacing three zero traces between the available traces. (c) Interpolated data using two passes of de-aliased Cadzow reconstruction with α = 2 . (d-f) are the f - k spectra
Journal Article
Journal: Geophysics
Published: 18 February 2021
Geophysics (2021) 86 (2): V131–V142.
... usually perform well with irregularly missing traces but they are inappropriate for the reconstruction of regularly sampled seismic data. To reconstruct seismic data with regularly missing traces, Naghizadeh and Sacchi (2013) propose the dealiased Cadzow method. With the development of machine...
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Local comparisons for different <span class="search-highlight">reconstruction</span> results: (a) enlargement of ...
Published: 13 October 2023
Figure 11. Local comparisons for different reconstruction results: (a) enlargement of incomplete field DAS-VSP data and (b–g) reconstruction results of f - x deconvolution, CS-OMP, Cadzow filtering, DnCNN, U-Net, and MCA-Net, respectively.
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<span class="search-highlight">Reconstruction</span> results for a field DAS-VSP record suffering from consecutiv...
Published: 13 October 2023
Figure 13. Reconstruction results for a field DAS-VSP record suffering from consecutive missing conditions: (a) incomplete field DAS record and (b–g) reconstructed results of f - x deconvolution, CS-OMP, Cadzow filtering, DnCNN, U-Net, and MCA-Net, respectively.
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The LS&#x2F;N of the <span class="search-highlight">reconstruction</span> results obtained by the six methods: (a–f) r...
Published: 13 October 2023
Figure 8. The LS/N of the reconstruction results obtained by the six methods: (a–f) results of f - x deconvolution, CS-OMP, Cadzow filtering, DnCNN, U-Net, and MCA-Net, respectively.
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Comparisons of the <span class="search-highlight">reconstruction</span> results and removed components. Results (...
Published: 13 October 2023
Figure 6. Comparisons of the reconstruction results and removed components. Results (top subfigure) and removed components (bottom subfigure) for (a)  f - x deconvolution, (b) CS-OMP, (c) Cadzow filtering, (d) DnCNN, (e) U-Net, and (f) MCA-Net.
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Processing results of another incomplete field DAS-VSP record: (a) incomple...
Published: 13 October 2023
Figure 12. Processing results of another incomplete field DAS-VSP record: (a) incomplete field DAS-VSP record and (b–g) reconstruction results (top subfigure) and removed components (bottom subfigure) of f - x deconvolution, CS-OMP, Cadzow filtering, DnCNN, U-Net, and MCA-Net, respectively.
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Example of synthetic marine seismic data <span class="search-highlight">reconstruction</span>. (a) Original data,...
Published: 18 February 2021
Figure 6. Example of synthetic marine seismic data reconstruction. (a) Original data, (b) corrupted data with 50% regularly missing traces, (c) recovered data using DSPRecon, (d) residual between (a and c), (e) recovered data using dealiased Cadzow, and (f) residual between (a and e).
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Spectral comparisons of the results. (a) The  f-k  spectrum of the clean re...
Published: 13 October 2023
Figure 7. Spectral comparisons of the results. (a) The f-k spectrum of the clean record and noisy incomplete record shown in Figure  6a . The f-k spectra of the reconstruction results (left subfigure) and removed components (right subfigure) of (b)  f - x deconvolution, (c) CS-OMP, (d
Journal Article
Journal: Geophysics
Published: 15 October 2015
Geophysics (2015) 80 (6): WD129–WD141.
..., 1986 ; Van Loan, 1992 ), recently proposed by Korobeynikov (2010) and used for seismic data filtering and reconstruction purposes by Trickett (2003) and Gao et al. (2013) . This article is organized as follows: First, we expose the motivation behind the Cadzow/SSA signal model; second, we...
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Journal Article
Journal: Geophysics
Published: 23 April 2012
Geophysics (2012) 77 (3): V113–V122.
...) and Oropeza and Sacchi (2011) is equivalent to the Cadzow method proposed by Trickett (2008) for denoising and reconstructing seismic volumes. Cadzow and MSSA algorithms replace the block Hankel matrix of the incomplete and noisy multidimensional observations by its low-rank approximation. Averaging along...
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Journal Article
Journal: Geophysics
Published: 13 October 2023
Geophysics (2023) 88 (6): WC145–WC162.
...Figure 11. Local comparisons for different reconstruction results: (a) enlargement of incomplete field DAS-VSP data and (b–g) reconstruction results of f - x deconvolution, CS-OMP, Cadzow filtering, DnCNN, U-Net, and MCA-Net, respectively. ...
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Journal Article
Journal: Geophysics
Published: 21 April 2021
Geophysics (2021) 86 (3): V233–V244.
... ( Trickett, 2002 , 2008 ) and multichannel singular spectrum analysis ( Oropeza and Sacchi, 2011 ). Cadzow filtering can reconstruct several linear events with different slopes at the same time; however, it produces noticeable artifacts for isolated large-amplitude noise (erratic noise) and blurs...
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Journal Article
Journal: Interpretation
Published: 07 March 2017
Interpretation (2017) 5 (2): SF177–SF188.
... removed the sticky coherent noise by a local pseudo f - x - y Cadzow filtering. Then, we diminished the random noise by a structure-oriented filtering. Finally, we extended the frequency bandwidth with a spectral-balancing method based on the continuous wavelet transform. The data quality was improved...
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