Abstract
In log time-frequency spectra, the nonstationary convolution model is a linear equation and thus we improved the Gabor deconvolution by employing a log hyperbolic smoothing scheme which can be implemented as an iteration process. Numerical tests and practical applications demonstrate that improved Gabor deconvolution can further broaden frequency bandwidth with less computational expenses than the ordinary method. Moreover, we attempt to enlarge this method’s application value by addressing nonstationary and evaluating Q values. In fact, energy relationship of each hyperbolic bin (i.e., attenuation curve) can be taken as a quantitative indicator in balancing nonstationarity and conditioning seismic traces to the assumption of unchanging wavelet, which resultantly reveals more useful information for constrained reflectivity inversion. Meanwhile, a statistical method on Q-value estimation is also proposed by utilizing this linear model’s gradient. In practice, not only estimations well agree with geologic settings, but also applications on Q-compensation migration are favorable in characterizing deep geologic structures, such as the pinch-out boundary and water channel.
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Bear, L., J. Liu, and P. Traynin (2008), Efficient compensation for attenuation effects using pseudo Q migration. In: 78th SEG Annual Meeting, 9–14 November 2008, Las Vegas, USA, Society of Exploration Geophysicists, Expanded abstracts, SEG-2008-2206.
Bickel, S.H., and R.R. Natarajan (1985), Plane-wave Q deconvolution, Geophysics 50, 9, 1426–1439, DOI: 10.1190/1.1442011.
Canadas, G. (2002), A mathematical framework for blind deconvolution inverse problems. In: 72nd SEG Annual Meeting, 6–11 October 2002, Salt Lake City, USA, Society of Exploration Geophysicists, Expanded abstracts, SEG-2002–2202.
Chen, Z., Y. Wang, X. Chen, and J. Li (2013), High-resolution seismic processing by Gabor deconvolution, J. Geophys. Eng. 10, 6, 065002, DOI: 10.1088/1742-2132/10/6/065002.
Griffiths, L.J., F.R. Smolka, and L.D. Trembly (1977), Adaptive deconvolution: A new technique for processing time-varying seismic data, Geophysics 42, 4, 742–759, DOI: 10.1190/1.1440743.
Grossman, J.P., G.F. Margrave, and M.P. Lamoureux (2002), Constructing adaptive, nonuniform Gabor frames from partitions of unity, CREWES Res. Rep. 14, 38, 1–10.
Hargreaves, N.D., and A.J. Calvert (1991), Inverse Q filtering by Fourier transform, Geophysics 56, 4, 519–527, DOI: 10.1190/1.1443067.
Koehler, F., and M.T. Taner (1985), The use of the conjugate-gradient algorithm in the computation of predictive deconvolution operators, Geophysics 50, 12, 2752–2758, DOI: 10.1190/1.1441895.
Margrave, G.F. (1998), Theory of nonstationary linear filtering in the Fourier domain with application to time-variant filtering, Geophysics 63, 1, 244–259, DOI: 10.1190/1.1444318.
Margrave, G.F., and M.P. Lamoureux (2001), Gabor deconvolution, CREWES Res. Rep. 13, 18, 241–276.
Margrave, G.F., M.P. Lamoureux, J.P. Grossman, and V. Iliescu (2002), Gabor deconvolution of seismic data for source waveform and Q correction. In: 72nd SEG Annual Meeting, 6–11 October 2002, Salt Lake City, USA, Society of Exploration Geophysicists, Expanded abstracts, 2190–2193, DOI: 10.1190/1.1817142.
Margrave, G.F., D.C. Henley, M.P. Lamoureux, V. Iliescu, and J.P. Grossman (2003), Gabor deconvolution revisited. In: 73rd SEG Annual Meeting, 26–31 October 2003, Dallas, USA, Society of Exploration Geophysicists, Expanded abstracts, 714–717, DOI: 10.1190/1.1818033.
Margrave, G.F., P.C. Gibson, J.P. Grossman, D.C. Henley, and M.P. Lamoureux (2004), Gabor deconvolution–theory and practice. In: 66th EAGE Conference and Exhibition, 7–10 June 2004, Paris, France, European Association of Geoscientists and Engineers.
Margrave, G.F., M.P. Lamoureux, and D.C. Henley (2011), Gabor deconvolution: Estimating reflectivity by nonstationary deconvolution of seismic data, Geophysics 76, 3, W15–W30, DOI: 10.1190/1.3560167.
Montana, C.A., and G.F. Margrave (2005), Phase correction in Gabor deconvolution. In: 75th SEG Annual Meeting, 6–11 November 2005, Houston, USA, Society of Exploration Geophysicists, Expanded abstracts, 2173–2176.
Robinson, E.A. (1954), Predictive decomposition of time series with applications to seismic exploration, Ph.D. Thesis, Massachusetts Institute of Technology, Cambridge, USA.
Sacchi, M.D.(1997), Reweighting strategies in seismic deconvolution, Geophys. J. Int. 129, 3, 651–656, DOI: 10.1111/j.1365-246X.1997.tb04500.x.
Sun, X., S.Z. Sun, X. Zhou, and W. Meng (2013), Gabor deconvolution based on hyperbolic smoothing in log spectra. In: 75th EAGE Conference and Exhibition incorporating SPE EUROPEC 2013, European Association of Geoscientists and Engineers, DOI: 10.3997/2214-4609.20130050.
Tria, M., M. van der Baan, A. Larue, and Mars (2007), Wavelet estimation and blind deconvolution of realistic synthetic seismic data by log spectral averaging. In: 77th SEG Annual Meeting, 23–26 September 2007, San Antonio, USA, Society of Exploration Geophysicists, Expanded abstracts, 1982–1986.
Ulrych, T.J. (1971),, Geophysics 36, 4, 650–660, DOI: 10.1190/1.1440202.
Velis, D.R. (2008), Stochastic sparse-spike deconvolution, Geophysics 73, 1, R1–R9, DOI: 10.1190/1.2790584.
Wang, Y. (2002), A stable and efficient approach of inverse Q filtering, Geophysics 67, 2, 657–663, DOI: 10.1190/1.1468627.
Yang, P., S.Z. Sun, Y.L. Liu, H.Y. Li, G.J. Dan, and H.Q. Jia (2012), Origin and architecture of fractured-cavernous carbonate reservoirs and their influences on seismic amplitudes, The Leading Edge 31, 2, 140–150, DOI: 10.1190/1.3686911.
Yu, J., and D. Liu (2012), An application of structural filter and Gabor deconvolution for AVO processing. In: 82nd SEG Annual Meeting, 4–9 November 2012, Las Vegas, USA, Society of Exploration Geophysicists, Expanded abstracts, SEG-2012-1472.
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Sun, X., Sun, S.Z. Improved Gabor Deconvolution and Its Extended Applications. Acta Geophys. 64, 61–75 (2016). https://doi.org/10.1515/acgeo-2015-0058
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DOI: https://doi.org/10.1515/acgeo-2015-0058