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The application of high-order cumulants zero slice in wavelet phase correction

YONGSHOU DAI1 ,  YANAN ZHANG1,2 ,  MANMAN ZHANG1 ,  RONGRONG WANG1 ,  PENG ZHANG1
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1 College of Information and Control Engineering, China University of Petroleum, Qingdao 266580, P.R. China.,
2 Qing Dao Topscomm Communication Inc., Qingdao 266024, P.R. China.,
JSE 2015, 24(2), 151–167;
Submitted: 8 June 2014 | Accepted: 30 January 2015 | Published: 1 May 2015
© 2015 by the Authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License ( https://creativecommons.org/licenses/by/4.0/ )
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Abstract

Dai, Y., Zhang, Y., Zhang, M., Wang, R. and Zhang, P., 2015. The application of high-order cumulants zero slice in wavelet phase correction. Journal of Seismic Exploration, 24: 151-167. To solve the problem of Gaussian noise sensitivity in the traditional seismic wavelet phase correction criteria, a wavelet phase correction method based on high-order cumulants (HOCs) zero slice was proposed, and its application conditions and scope were researched. The wavelet phase correction results were evaluated based on the criterion of calculating the HOCs zero slice of deconvolution results. Because of HOC’-s’ insensitivity to Gaussian noise, the method could effectively achieve the wavelet phase correction under conditions with Gaussian noise pollution. A simulation showed the effectiveness of the method, but the criterion was limited by data length, and the criterion’s anti-noise capabilities could be improved with increased data length. The processing of actual seismic data demonstrated the practicability of the method. This method provides a new method of wavelet phase correction, and the criterion based on HOCs zero slice can be used in deconvolution and seismic wavelet estimation.

Keywords
high-order cumulants (HOC)
zero slice
wavelet phase correction
evaluation criterion
Gaussian noise
References
  1. Brossier, R., Operto, S. and Virieux, J., 2009. Robust elastic frequency-domain full-waveforminversion using the Li norm. Geophys. Res. Lett., 36(20): 310-314.
  2. Cao, D.P., Yin, X.Y., Zhang, F.C. and Kong, Q.F., 2009. A study on the method of jointinversion of multiscale seismic data. Chin. J. Geophys. (in Chinese), 52: 1059-1067.
  3. Cao, M.Q. and Zhou, X.Y., 2003. Statistics homomorphic deconvolution. Oil Geophys. Prosp.,38(S): 1-9.
  4. Chen, Z.B., Wang, Y.H., Chen, H.X. and Li, J.Y., 2013. High-resolution seismic processing by
  5. Gabor deconvolution. J. Geophys. Engin., 10(6): 1-10.
  6. Dai, Y.S., Niu, H., Peng, X. and Wang, S.S., 2011. Seismic wavelet extraction based onauto-regressive and moving average model and particle swarm optimization. J. China Univ.Petrol. (Ed. Nat. Sc.), 35(3): 47-50.
  7. Feng, Z.H., Liu, C., Feng, X., Wang, D. and Wang, Z.G., 2011. An automatic seismic horizonpicking-up method based on one dimensional slice of cross fourth order cumulant. OilGeophys. Prosp., 46: 58-63.
  8. Gao, S.W., Zhao, B., He, Z.H. and Ma, Y.N., 2009. Research progress of seismic waveletextraction. Progr. Geophys. (in Chinese), 24: 1384-1391.
  9. Gao, W. and Liu, H.S., 2013. Strong noise attenuation method based on the multiuser kurtosiscriterion. Appl. Geophys., 10: 25-32.
  10. Jeong, W., Pyun, S., Son, W. and Min, D.J., 2013. A numerical study of simultaneous-source fullwaveform inversion with L,-norm. Geophys. J. Internat., 194: 1727-1737.
  11. Lazear, G.D., 1993. Mixed-phase wavelet estimation using fourth-order cumulants. Geophysics, 58:1042-1051.
  12. Levy, $. and Oldenburg, D.W., 1987. Automatic phase correction of common-midpoint stackeddata. Geophysics, 52: 51-59.
  13. Li, G.F., Qin, D.H., Peng, G.X., Yue, Y. and Zhai, T.L., 2013. Experimental analysis andapplication of sparsity constrained deconvolution. Appl. Geophys., 10: 191-200.
  14. Liu, Y.J., Li, Z.C. and Guo, K., 2012. Non-stationary phase correction based on local similarity.Oil Geophys. Prosp., 47: 887-893.APPLICATION OF HIGH-ORDER CUMULANTS 167
  15. Lois, A., Sokos, E., Martakis, N., Paraskevopoulos, P. and Tselentis, G.A., 2013. A newautomatic S-onset detection technique: Application in local earthquake data. Geophysics, 78:KSi-KS11.
  16. Oldenburg, D.W., Scheuer, T. and Levy, S., 1983. Recovery of the acoustic impedance fromreflection seismograms. Geophysics, 48: 1318-1337.
  17. Robinson, E.A., 1967. Predictive decomposition of time series with application to seismicexploration. Geophysics, 32: 418-484.
  18. Sacchi, M.D., 1997. Reweighting strategies in seismic deconvolution. Geophys. J. Internat., 129:651-656.
  19. Tang, B. and Yin, C., 2001. Non-minimum phase seismic wavelet reconstruction based on higherorder statistics. Chin. J. Geophys. (in Chinese), 44: 404-410.
  20. Wang, D.Y., Li, Z.C., Zhang, F.Q., Dong, L.Q., Ding, C.Z. and Huang, J.P., 2013. Mixed-phaseseismic wavelet extraction of SIMO system based on vector prediction. Acta Seismol. Sin.,35: 561-572.
  21. Wang, S.D. and Wang, B., 2012. Time-lapse Bayesian AVO waveform inversion. Chin. J.Geophys. (in Chinese), 55: 2422-2431.
  22. Wang, Y., Cao, J. and Yang, C., 2011. Recovery of seismic wavefieids based on compressivesensing by an L,-norm constrained trust region method and the piecewise randomsubsampling. Geophys. J. Internat., 187: 199-213.
  23. Wu, Y.T., Liu, Y.K., Chang, X., Zhang, J.M., Chen, B.S., Li, P. and Li, X.C., 2012. Animproved matching method based on L,-norm for multiple elimination and application indeepwater basin of South China Sea. Chin. J. Geophys. (in Chinese), 55: 1007-1016.
  24. Yao, F.C., 1990. Amplitude spectra compensation and phase correction. Geophys. Prosp. Petrol.,29: 46-57.
  25. Yu, Y.C., Wang, S.X., Yuan, S.Y. and Qi, P.F., 2011. Phase estimation in bispectral domainbased on conformal mapping and applications in seismic wavelet estimation. Appl. Geophys. ,8: 36-47.
  26. Yu, Y.C., Wang, S.X., Yuan, S.Y. and Qi, P.F., 2012. Phase spectrum estimation of the seismicwavelet based on a criterion function. Petrol. Sci., 9: 170-181.
  27. Yuan, S.Y. and Wang, S.X., 2010. Noise attenuation without spatial assumptions about seismiccoherent events. Expanded Abstr., 80th Ann. Internat. SEG Mtg., Denver: 3524-3528.
  28. Yuan. S.Y. and Wang, S.X., 2011. Influence of inaccurate wavelet phase estimation on seismicinversion. Appl. Geophys., 8: 48-59.
  29. Zhang, G.Z., Liu, H. and Yin, X.Y., 2005. Method for fine picking up seismic wavelet at up-holetrace. Oil Geophys. Prosp., 40(2): 158-162.
  30. Zhang, R. and Castagna, J., 2011. Seismic sparse-layer reflectivity inversion using basis pursuitdecomposition. Geophysics, 76(6): 147-158.
  31. Zhang, Y.N., Dai, Y.S., Chen, J., Wei, Y.Q. and Zhang, M.M., 2013. The research on theinfluence of wavelet phase on the inversion results of reflection coefficient sequences byusing the ARMA model of symmetrical mapping pole-zeros. Chin. J. Geophys. (in Chinese),56: 2043-2054.
  32. Zhang, Y.N,, Dai, Y.S., Wang, S.S., Peng, X. and Niu, H., 2011. High resolution waveletestimation by ARMA modeling. Oil Geophys. Prosp., 46: 686-694.
  33. Zhou, X.Y., 1989. Constant phase correction. Oil Geophys. Prosp., 24: 119-129.
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Journal of Seismic Exploration, Print ISSN: 0963-0651, Published by AccScience Publishing
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