JSEJournal of Seismic Exploration0963-0651AccScience PublishingArticleA new double deconvolution method suitable for non-stationary seismograms in the time-frequency domainhttps://geophysical-press.com/journal/JSE/articles/258WANGRONG-RONG,DAIYONG-SHOU,LICHUANG,ZHANGPENG,TANYONG-CHENG20152452015-11-01Wang, R.-R., Dai, Y.-S., Li, C., Zhang, P. and Tan, Y.-C., 2015. A new double deconvolution method suitable for non-stationary seismograms in the time-frequency domain. Journal of Seismic Exploration, 24: 401-417. Conventional deconvolution methods are based on the assumption that the seismogram is stationary; however, actual seismic data cannot satisfy the above assumption. Thus, this paper proposes a double deconvolution method in the time-frequency domain to improve the resolution of the non-stationary seismogram. First, the quadratic spectrum modeling method, in combination with the bispectrum method based on higher-order cumulants, was used to extract a wavelet from the non-stationary seismogram, and the spectrum division method was applied to the entire seismogram to perform deconvolution. Then, time-varying wavelets were extracted from the first deconvolution result in the time-frequency domain, and the residual wavelets on every point spectrum were eliminated from the seismogram by a second deconvolution. Simulation experiments and field data processing demonstrated that the proposed method overcomes the interference of adjacent strata effectively and greatly improves the resolution of the non-stationary seismogram.double deconvolution method, non-stationary seismogram, time-varying wavelet, quadratic spectral modeling

Economou, N. and Vafidis, A., 2012. GPR data time varying deconvolution by Kurtosismaximization. J. Appl. Geophys., 81: 117-121.Kumar, V. and Herrmann, F.J., 2008. Deconvolution with curvelet-domain sparsity, ExpandedAbstr., 78th Ann. Internat. SEG Mtg., Las Vegas, 27(1): 1996-2000.Lazear, G.D., 1993. Mixed-phase wavelet estimation using fourth-order cumulants. Geophysics, 58:1042-1051.van der Baan, M., 2008. Time-varying wavelet estimation and deconvolution by Kurtosismaximization. Geophysics, 73(2): 11-18.Pan, R. and Nikias, C.L., 1987. Phase reconstruction in the trispectrum domain. Acoust., SpeechSignal Process., IEEE Transact., 35: 895-897.Rosa, A.L.R. and Ulrych, T.J., 1991. Processing via spectral modeling. Geophysics, 56:1224-1251.Sacchi, M.D., 1997. Re-weighting strategies in seismic deconvolution. Geophys. J. Internat., 12(9):651-656.Tang, B.W, Zhao, B., Wu, Y.H. and Li, H.Q., 2010. A new way to realize spectral modelingdeconvolution. Oil Geophys. Prospect. (in Chinese), 45: 66-70.Velis, D.R. and Ulrych, T.J., 1996. Simulated annealing wavelet estimation via fourth-ordercumulant matching. Geophysics, 61: 1939-1948.Wiggins, R., 1978. Minimum entropy deconvolution. Geoexplor., 16(5): 21-35.Zhang, G., Li, Y., Rong, J., Zhang, Y. and Cai, Z., 2011. Compensation for stratigraphicabsorption of seismic attenuation based on the improved generalized S-transform. 73rdEAGE Conf., Vienna.Zhang, R. and Castagna, J., 2011. Seismic sparse-layer reflectivity inversion using basis pursuitdecomposition. Geophysics, 76(6): 147-158.