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Abstract

Summary

Seismic data interpolation via rank-minimization techniques has been recently introduced in the seismic community. All the existing rank-minimization techniques assume the recording locations to be on a regular grid, e.g. sampled periodically, but seismic data are typically irregularly sampled along spatial axes. Other than the irregularity of the sampled grid, we often have missing data. In this paper, we study the effect of grid irregularity to conduct matrix completion on a regular grid for unstructured data. We propose an improvement of existing rank-minimization techniques to do regularization. We also demonstrate that we can perform seismic data regularization and interpolation simultaneously. We illustrate the advantages of the modification using a real seismic line from the Gulf of Suez to obtain high quality results for regularization and interpolation, a key application in exploration geophysics.

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/content/papers/10.3997/2214-4609.201413448
2015-06-01
2024-04-28

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References

  1. Abma, R., and J.Claerbout
    , 1995, Lateral prediction for noise attenuation by t-x and f-x techniques: GEOPHYSICS, 60, 1887–1896.
     [Google Scholar]
  2. Abma, R., and N.Kabir
    , 2006, 3d interpolation of irregular data with a pocs algorithm: GEOPHYSICS, 71, E91–E97.
     [Google Scholar]
  3. Aravkin, A. Y., R.Kumar, H.Mansour, B.Recht, and F. J.Herrmann
    , 2013, Fast methods for denoising matrix completion formulations, with application to robust seismic data interpolation.
     [Google Scholar]
  4. Hennenfent, G., L.Fenelon, and F. J.Herrmann
    , 2010, Nonequispaced curvelet transform for seismic data reconstruction: A sparsity-promoting approach: Geophysics, 75, WB203–WB210.
     [Google Scholar]
  5. Keys, R.
    , 1981, Cubic convolution interpolation for digital image processing: Acoustics, Speech and Signal Processing, IEEE Transactions on, 29, 1153–1160.
     [Google Scholar]
  6. Kumar, R., A. Y.Aravkin, H.Mansour, B.Recht, and F.Herrmann
    , 2013, Seismic data interpolation and denoising using svd-free low-rank matrix factorization: Presented at the, EAGE.
     [Google Scholar]
  7. Kunis, S.
    , 2006, Nonequispaced fft: generalisation and inversion: PhD thesis, Lübeck University.
     [Google Scholar]
  8. Li, C., C. C.Mosher, and S. T.Kaplan
    , 2012, Interpolated compressive sensing for seismic data reconstruction: Presented at the, Society of Exploration Geophysicists.
     [Google Scholar]
  9. Oropeza, V., and M.Sacchi
    , 2011, Simultaneous seismic data denoising and reconstruction via multichannel singular spectrum analysis: Geophysics, 76, V25–V32.
     [Google Scholar]
  10. Potts, D., G.Steidl, and M.Tasche
    , 2001, Modern Sampling Theory: Mathematics and Applications: 249–274.
     [Google Scholar]
  11. Recht, B., M.Fazel, and P.Parrilo
    , 2010, Guaranteed minimum rank solutions to linear matrix equations via nuclear norm minimization.: SIAM Review, 52, 471–501.
     [Google Scholar]
  12. Sacchi, M., T.Ulrych, and C.Walker
    , 1998, Interpolation and extrapolation using a high-resolution discrete fourier transform: Signal Processing, IEEE Transactions on, 46, 31–38.
     [Google Scholar]
  13. Spitz, S.
    , 1991, Seismic trace interpolation in the f-x domain: GEOPHYSICS, 56, 785–794.
     [Google Scholar]
  14. Xu, S., Y.Zhang, D.Pham, and G.Lambaré
    , 2005, Antileakage fourier transform for seismic data regularization: GEOPHYSICS, 70, V87–V95.
     [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201413448
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Matrix Completion on Unstructured Grids - 2-D Seismic Data Regularization and Interpolation
Conference Proceedings 2015, 1 (2015); https://doi.org/10.3997/2214-4609.201413448
/content/papers/10.3997/2214-4609.201413448
/content/papers/10.3997/2214-4609.201413448
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