High-order sparse Radon transform for deblending of simultaneous source seismic data

Wang, M. and Xue, Y., 2018. High-order sparse Radon transform for deblending of simultaneous source seismic data. Journal of Seismic Exploration, 27: 167-181. This paper proposes an iterative high-order Radon transform based on matching pursuit (MP) algorithm to separate the blended seismic data. During each iteration, the matched subspace is picked by energy distribution in the high-order Radon domain. In thus small subspace, the high-order Radon transform is realized quickly to estimate the effective signals. The blending noise is then estimated by the estimate-deblended data with prior acquisition code and subtracted from the pseudo-deblended data. Thus an iteration is finished. The MP method shows more sparse than the iterative reweight least square method (IRLS). We compared the denoising effectiveness between these two methods. Synthetic and field data experiments prove that the matching pursuit algorithm has higher SNR and better denoising effectiveness than IRLS method.
- Aaron, P., van Borselen, R. and Fromyr, E., 2009. Simultaneous sources: a controlled
- experiment on different source configurations. Expanded. Abstr., 79th Ann.
- Internat. SEG Mtg., Houston: 1177-1181.
- Abma, R., 2014. Shot scheduling in simultaneous shooting. Expanded Abstr., 84th Ann.
- Internat. SEG Mtg., Denver: 94-98.
- Abma, R.L., Manning, T., Tanis, M., Yu, J. and Foster, M., 2010. High-quality separation
- of simultaneous sources by sparse inversion. Extended Abstr., 72nd EAGE Conf.,
- Barcelona: B003.
- Chen, W., Yuan, J., Chen, Y. and Gan, S., 2017. Preparing the initial model for iterative
- deblending by median filtering. J. Seismic Explor., 26: 25-47.
- Chen, Y., 2014. Deblending using a space-varying median filter. Explor. Geophys., 46:
- Chen, Y. and Fomel, S., 2015. Random noise attenuation using local signal-and-noise
- orthogonalization. Geophysics, 80: WD1-WD9.
- Chen, Y., Fomel, S. and Hu, J., 2013. Iterative deblending of simultaneous-source
- seismic data using shaping regularization. Expanded Abstr., 83rd Ann. Internat.
- SEG Mtg., Houston: 119-125.
- Chen, Y., Fomel, S. and Hu, J., 2014. Iterative deblending of simultaneous-source
- seismic data using seislet-domain shaping regularization. Geophysics, 79:
- V179-V189.
- Doulgeris, P., Mahdad, A. and Blacquiére, G., 2010. Separation of blended data by
- iterative estimation and subtraction of interference noise. Geophysics, 76: 44-53.
- Ebrahimi, S., Kahoo, A.R., Chen, Y. and Porsani, M.J., 2017. A high-resolution weighted
- AB semblance foe dealing with amplitude-variation-with-offset phenomenon.
- Geophysics, 82(2): V85-V93.
- Gan, S., Wang, S., Chen, Y. and Chen, X., 2015b. Deblending of distance separated
- simultaneous-source data using seislet frames in the shot domain. Expanded Abstr.,
- 85th Ann. Internat. SEG Mtg., New Orleans: 65-70.
- Gan, S., Wang, S., Chen, Y. and Chen, X., 2016b. Simultaneous-source separation using
- iterative seislet-frame thresholding. IEEE Geosci. Remote Sens. Lett., 13: 197-201.
- Gan, S., Wang, S., Chen, Y., Chen, X. and Xiang, K., 2016c. Separation of simultaneous
- sources using a structural-oriented median filter in the flattened dimension. Comput.
- Geosci., 86: 46-54.
- Gan, S., Wang, S., Chen, Y., Qu, S. and Zu, S., 2016d. Velocity analysis of simultaneous-
- source data using high-resolution semblance-coping with the strong noise. Geophys.
- J. Internat., 204: 768-779.
- Hampson, G., Stefani, J. and Herkenhoff, F., 2008. Acquisition using simultaneous
- sources. The Leading Edge, 27: 16.
- Huang, W., Wang, R., Chen, Y., Li, H. and Gan, S., 2016a. Damped multichannel
- singular spectrum analysis for 3D random noise attenuation. Geophysics, 81:
- V261-V270.
- Huo, S., Luo, Y. and Kelamis, P.G., 2012. Simultaneous sources separation via
- multidirectional vector-median filtering. Geophysics, 77: V123-V131.
- Johansen, T.A., Bruland, L. and Lutro, J., 1995. Tracking the amplitude versus offset by
- using orthogonal polynomials. Geophys. Prosp., 245-261.
- Li, H., Wang, R., Cao, S., Chen, Y., Tian, N. and Chen, X., 2016b. Weak signal detection
- using multiscale morphology in microseismic monitoring. J. Appl. Geophys., 133:
- 39-49,
- Mahdad, A., 2012. Deblending of Seismic Data. Ph.D. thesis, Delft University of
- Technology.
- Moerig, R., Barr, F.J. and Nyland, D.L., 2013. Simultaneous shooting using cascaded
- sweeps. Expanded Abstr., 83rd Ann. Internat. SEG Mtg., Houston: 74.
- Panagiotis, D., Kenneth, B., Gary, H. and Gerrit, B., 2012. Convergence analysis of a
- coherency-constrained inversion for the separation of blended data. Geophys.
- Prospect., 60: 769-781.
- Qu, S., Zhou, H., Liu, R., Chen, Y., Zu, S., Yu, S. and Yuan, Y., 2016. Deblending of
- simultaneous-source seismic data using fast iterative shrinkage-thresholding
- algorithm with firm-thresholding. Acta Geophys., 64: 1064-1092.
- Sacchi, M.D. and Ulrych, T.J., 1995. High-resolution velocity gathers and offset space
- reconstruction . Geophysics, 60: 1169-1177.
- Trad, D., Sacchi, M.D. and Ulrych, T.J., 2001. A hybrid linear-hyperbolic Radon
- transform. J. Seismic Explor., 9: 303-318.
- Wu, J., Wang, R., Chen, Y., Zhang, Y., Gan, S. and Zhou, C., 2016. Multiples attenuation
- using shaping regularization with seislet domain sparsity constraint. J. Seismic
- Explor., 25: 1-9.
- Xue, Y., Ma, J. and Chen, X., 2013. High-order high-resolution Radon transform for
- AVO-preservation multiples attenuation. J. Seismic Explor., 22: 93-104.
- Xue, Y., Man, M., Zu, S., Chang, F. and Chen, Y., 2017. Amplitude-preserving iterative
- deblending of simultaneous source seismic data using high-order Radon transform.
- J. Appl. Geophys., 139: 79-90.
- Xue, Z., Chen, Y., Fomel, S. and Sun, J., 2016b. Seismic imaging of incomplete data and
- simultaneous-source data using least-squares reverse time migration with shaping
- regularization. Geophysics, 81: $11-S20.
- Yang, W., Wang, R., Wu, J., Chen, Y., Gan, S. and Zhong, W., 2015b. An efficient and
- efficient common reflection surface stacking approach using local similarity and
- plane-wave flattening. J. Appl. Geophys., 117: 67-72.
- Zhang, Q., Abma, R. and Ahmed, I., 2013. A marine node simultaneous source
- acquisition trial at atlantis, gulf of mexico. Expanded Abstr., 83rd Ann. Internat.
- SEG Mtg., Houston: 99-103.
- Zu, S., Zhou, H., Chen, Y., Pan, X., Gan, S. and Zhang, D., 2016c. Interpolating big gaps
- using inversion with slope constraint. IEEE Geosci. Remote Sens. Lett., 13:
- 1369-1373.