Seismic data decomposition into spectral components using regularized nonstationary autoregression

Geophysics

Volumn 78, Issue 6, 2013, Pages

  Fomel, Sergey ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GEOPHYSICAL PROSPECTING; REGRESSION ANALYSIS; SEISMIC WAVES; SPECTRUM ANALYSIS;

ESTIMATED PARAMETER; ESTIMATION PROCESS; NOISE ATTENUATION; SEISMIC DATA REGULARIZATION; SPECTRAL ANALYSIS METHOD; SPECTRAL COMPONENTS; VARIABLE AMPLITUDES; VARIABLE FREQUENCIES;

SEISMIC RESPONSE;

AMPLITUDE; REGRESSION ANALYSIS; SEISMIC DATA; SEISMIC SOURCE; SPECTRAL ANALYSIS; SEISMIC ATTENUATION; SEISMIC NOISE; NOISE;

EID: 84894459541     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/GEO2013-0221.1     Document Type: Article

References (37)

1. Bath, M., 1995, Modern spectral analysis with geophysical applications: SEG.
2. Battista, B. M., C. Knapp, T. McGee, and V. Goebel, 2007, Application of the empirical mode decomposition and Hilbert-Huang transform to seismic reflection data: Geophysics, 72, no. 2, H29-H37
3. Bekara, M., and M. van der Baan, 2009, Random and coherent noise attenuation by empirical mode decomposition: Geophysics, 74, no. 5, V89-V98
4. Beylkin, G., and L. Monzón, 2005, On approximation of functions by exponential sums: Applied and Computational Harmonic Analysis, 19, 17-48
5. Canales, L. L., 1984, Random noise reduction: 54th Annual International Meeting, SEG, Expanded Abstracts, 525-527.
6. Castagna, J. P., S. Sun, and R. W. Siegfried, 2003, Instantaneous spectral analysis: Detection of low-frequency shadows associated with hydrocarbons: The Leading Edge, 22, 120-127
7. Daubechies, I., J. Lu, and H.-T. Wu, 2011, Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool: Applied and Computational Harmonic Analysis, 30, 243-261
8. Daubechies, I., and S. Maes, 1996, A nonlinear squeezing of the continuous wavelet transform based on auditory nerve models, in A. Aldroubi, and M. Unser, eds., Wavelets in medicine and biology: CRC Press, 527-546.
9. Engl, H., M. Hanke, and A. Neubauer, 1996, Regularization of inverse problems: Kluwer Academic Publishers.
10. Fomel, S., 2007, Shaping regularization in geophysical-estimation problems: Geophysics, 72, no. 2, R29-R36
11. Fomel, S., 2009, Adaptive multiple subtraction using regularized nonstationary regression: Geophysics, 74, no. 1, V25-V33
12. Fomel, S., and Y. Liu, 2010, Seislet transform and seislet frame: Geophysics, 75, no. 3, V25-V38
13. Gardner, G. H. F., and L. Lu, eds., 1991, Slant-stack processing: Geophysics reprint series, no. 14: SEG.
14. Gritsenko, S. A., S. Fomel, and V. S. Chernyak, 2001, Filtering using Prony's method: Geofizika, 24-26 (in Russian).
15. Han, J., and M. van der Baan, 2013, Empirical mode decomposition for seismic time-frequency analysis: Geophysics, 78, no. 2, O9-O19
16. Herrera, R. H., J.-B. Tary, and M. van der Baan, 2013, Time-frequency representation of microseismic signals using the synchrosqueezing transform, in Geoconvention: CSEG.
17. Herrmann, F. J., and G. Hennenfent, 2008, Non-parametric seismic data recovery with curvelet frames: Geophysical Journal International, 173, 233-248
18. Hou, T. Y., and Z. Shi, 2011, Adaptive data analysis via sparse timefrequency representation: Advances in Adaptive Data Analysis, 3, 1-28
19. Hou, T. Y., and Z. Shi, 2013, Data-driven time-frequency analysis: Applied and Computational Harmonic Analysis, 35, 284-308
20. Huang, N. E., Z. Shen, S. R. Long, M. C. Wu, H. H. Shih, Q. Zheng, N.-C. Yen, C. C. Tung, and H. H. Liu, 1998, The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis: Proceedings of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences, 454, 903-995
21. Liu, G., and X. Chen, 2013, Noncausal f-x-y regularized nonstationary prediction filtering for random noise attenuation on 3D seismic data: Journal of Applied Geophysics, 93, 60-66
22. Liu, G., X. Chen, J. Du, and K. Wu, 2012, Random noise attenuation using f-x regularized nonstationary autoregression: Geophysics, 77, no. 2, V61-V69
23. Liu, G., S. Fomel, and X. Chen, 2011, Time-frequency analysis of seismic data using local attributes: Geophysics, 76, no. 6, P23-P34
24. Liu, Y., and S. Fomel, 2011, Seismic data interpolation beyond aliasing using regularized nonstationary autoregression: Geophysics, 76, no. 5, V69-V77
25. Liu, Y., and S. Fomel, 2013, Seismic data analysis using local timefrequency decomposition: Geophysical Prospecting, 61, 516-525
26. Magrin-Chagnolleau, I., and R. Baraniuk, 1999, Empirical mode decomposition based frequency attributes: 69th Annual International Meeting, SEG, Expanded Abstracts, 1949-1952.
27. Mallat, S., 2009, A wavelet tour of signal processing: The sparse way: Academic Press.
28. Marple, S. L., 1987, Digital spectral analysis with applications: Prentice-Hall.
29. Mitrofanov, G., Z. Zhan, and J. Cai, 1998, Using of the Proni transform of Chinese seismic data: 68th Annual International Meeting, SEG, Expanded Abstracts, 1157-1159.
30. Mitrofanov, G. M., and V. I. Priimenko, 2011, Prony filtration of seismic data: theoretical background: Revista Brasileira de Geofísica, 29.
31. Pisarenko, V. F., 1973, The retrieval of harmonics from a covariance function: Journal of the Royal Astronomical Society of Canada, 33, 347-366
32. Prony, R., 1795, Essai expérimental et analytique: Annuaire de l'École Polytechnique, 1, 24.
33. Spitz, S., 1999, Pattern recognition, spatial predictability, and subtraction of multiple events: The Leading Edge, 18, 55-58
34. Spitz, S., 2000, Model-based subtraction of multiple events in the frequencyspace domain: 70th Annual International Meeting, SEG, Expanded Abstracts, 1969-1972.
35. Taner, M. T., F. Koehler, and R. E. Sheriff, 1979, Complex seismic trace analysis: Geophysics, 44, 1041-1063. (Errata in GEO-44-11-1896; Discussion in GEO-45-12-1877-1878; Reply in GEO-45-12-1878-1878)
36. Toh, K., and L. Trefethen, 1994, Pseudozeros of polynomials and pseudospectra of companion matrices: Mathematika, 68, 403-425.
37. Wu, Z., and N. E. Huang, 2009, Ensemble empirical mode decomposition: A noise-assisted data analysis method: Advances in Adaptive Data Analysis, 1, 1-41