News and Announcements
ARTICLE
A time-varying wavelet estimation method based on modified spectral modeling in the T-F domain
JSE 2021, 30(3), 211–236;
Submitted: 9 August 2019 | Accepted: 3 December 2020 | Published: 1 June 2021
© 2021 by the Authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
Abstract
Dai, Y.S., Zhang, H.Q., Zhang, Y.H., Wan, Y., Sun, W.F., Han, H.Y. and Wu, S., 2021. A time-varying wavelet estimation method based on modified spectral modeling in the T-F domain. Journal of Seismic Exploration, 30: 211-236. To effectively solve the problem existing in the time-varying seismic wavelet extraction method based on spectral modeling in the time-frequency (T-F) domain, a time-varying seismic wavelet extraction method based on modified spectral modeling in the T-F domain is proposed. For reducing the energy diffusion of the T-F spectra of seismograms, the synchrosqueezing modified S-transform (SSMST) is used to extract the T-F spectra of seismograms. The energy is gathered at the real frequency and the extraction accuracy of the T-F spectra of seismograms is improved. To solve the problem that the polynomial order needs to be determined artificially, an evaluation function describing the quality of estimated wavelet amplitude is established. The polynomial order is determined by comparing the value of the evaluation function. The phase spectra of seismic wavelets are extracted by phase-only filter. The validity of the method is verified by simulation experiments and real seismograms data processing.
Keywords
synchrosqueezing modified S-transform
wavelet extraction
determining polynomial order
phase-only filter
References
- Li, Z.C.. AL. F.J.. Wang. D.Y. and Wang, J.. 2015. Time-varving deconvolution methodbased on time-frequency domain. Progr. Geophys., 30: 2698-2705.
- Chi, H.Z.. Liu. C.. Shan, X.L. and Lu. O.. 2015. Application of spectral inversion fortight thin-bed sand body prediction. Geophys. Prosp. Petrol., 54: 337-344.
- Margrave, G.F., Lamoureux, M.P. and Henley, D.C.. 2011. Gabor deconvolution:
- Estimating reflectivity by nonstationary deconvolution of seismic data. Geophysics,76(3): W15-W30.
- Margrave. G.F.. 1999. Gabor deconvolution of seismogram data for source waveformand O correction. Expanded Abstr., 69th Ann. Internat. SEG Mtg., Houston:2190-2193.
- Zhou, H.L., Wang, J.. Wang. M.C., Shen, M.C., Zhang, X.K. and Liang, P., 2014.
- Amplitude spectra compensation and phase spectra correction of seismogram databased on the generalized S transform. Appl. Geophys., 11: 468-478.
- Zhou, H.L.. Wang C.C.. Marfurt, K.J.. Jiang, Y.W. and Bi, J.X.. 2016. Enhancing theresolution of non-stationary seismogram data using improved time-frequencyspectral modelling. Geophys. J. Internat., 205: 203-219.
- Wang. L.L. and Gao. J.H.. 2010. A method for absorption compensation based onadaptive molecular decomposition. Appl. Geophys., 7: 74-87.
- Wang. L.L.. Gao, J.H.. Zhao. W. and Jiang, X.D., 2013. Enhancing resolution ofnonstationary seismic data by molecular-Gabor transform. Geophysics, 78(1):V31-V41.
- Gao, J.H.. Wang. L.L. and Zhao, W.. 2009. Enhancing resolution of seismogram tracesbased on the changing wavelet model of seismogram. Chin. J. Geophys. (inChinese), 52: 1289-1300.
- Li, D.. Castagna. J. and Goloshubin, G.. 2016. Investigation of generalized S-transformanalysis windows for time-frequency analysis of seismic reflection data.Geophysics, 81(3): V235-V247.
- Daubechies, I.. Lu, J. and Wu. H.T.. 2011. Synchrosqueezed wavelet transforms: Anempirical mode decomposition-like tool. Appl. Computat. Harmon. Analys., 30:243-261.
- Wang. P.. Gao, J.H. and Wang, Z.G.. 2014. Time-frequency analysis of seismogram datausing synchrosqueezing transform. IEEE Geosci. Remote Sens. Lett., 11:2042-2044.
- Shang, S., Han, L.. Hu, W. and Zhang, Y., 2015. Applied research of synchrosqueezingwavelet transform in seismogram spectral decomposition method. Geophys. Prosp.Petrol., 54: 51-55.
- Thakur. G.. Brevdo. E.. Fuékar, N. and Wu. H.T.. 2011. The Synchrosqueezingalgorithm for time-varving spectral analysis: robustness properties and newpaleoclimate applications. Sign. Process., 93: 1079-1094.
- Huang, Z.L., Zhang, J. and Zhao, T.. 2016. Synchrosqueezing S-transform and itsapplication in seismogram spectral decomposition. IEEE Transact. Geosci. RemoteSens., 54: 817-825.
- Liu, H.. Zhang. J.Z. and Huang. Z.L.. 2017. The time-frequency analvsis of seismogrambased on synchrosqueezing S-transform. Oil Geophys. Prosp., 52: 689-695.
- Tang. B.W.. Zhao. B.. Wu. Y.H. and Li. H.O.. 2010. A new way to realize spectralmodeling deconvolution. Oil Geophys. Prosp., 45 (zengkan1): 66-70.
- Rosa. A.L. and Ulrych, T.J.,1991. Processing via spectral modeling. Geophysics, 56:1244-1251.
- Dai, Y.S.. Zhang, M.M. and Zhang, Y.N., 2015. Time-variant mixed-phase seismogramwavelet estimation based on spectral modeling in the time-frequency domain. OilGeophys. Prosp., 50: 830-853.
- Wang. R.R.. Dai. Y.S. and Zhang. Y.N.. 2015. Time-varving wavelet extraction methodsin non-stationary seismogram. Progr. Geophys. (in Chinese), 30: 700-708.
- Wang. R.R.. 2016. Time-varving wavelet extraction method using the combination ofspectral modeling. local similarity and adaptive segmentation. China University ofPetroleum (East China), Qingdao.
- Li, Z.C.. Zhao. Y.P. and Xu. W.C.. 2015. Time-varving wavelet extraction method basedon S-domain spectral modeling. Progr. Geophys. (in Chinese), 30: 2706-2713.
- Li, Z.C., Li, D. and Wang, D.Y.. 2013. Adaptive spectral modeling deconvolution basedon the constraint of signal to noise ratio spectra. Progr. Geophys. (in Chinese), 28:301-309.
- Sheng. L.Z.. 2015. Curve fitting principle and its application research. Changsha
- University of Science & Technology, Changsha, Hunan, China.
- Gao, J.H.. Zhang. B. and Han. W.. 2017. A new approach for extracting the amplitudespectra of the seismogram wavelet from the seismogram traces. Inverse Probl., 33:1-16.
- Wang. S.S.. Dai. Y.S. and Wang. F.. 2010. Research on the ARMA model for extractionof in seismogram wavelets. Progr. Geophys. (in Chinese), 25: 2109-2114.
- Zhou, X. Y., 1989. Constant phase correction. Oil Geophys. Prosp., 24: 119-129.
- Yu, Y.C.. Wang, S.X. and Yuan. S.Y.. 2011. Phase estimation in bispectral domainbased on conformal mapping and applications in seismic wavelet estimation. Appl.Geophys., 8: 36-47.
- Zhang. Y.N.. Dai. Y.S.. Ding. J.J.. Zhang. M.M. and Wang. R.R.. 2014. A wavelet phasecorrection method based on the phase-only filter. Geophys. Prosp. Petrol., 53:26-31.
