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Multichannel antileakage least squares spectral analysis for seismic data regularization beyond aliasing

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The antileakage least-squares spectral analysis is a new method of regularizing irregularly spaced data series. This method mitigates the spectral leakages in the least-squares spectrum caused by non-orthogonality of the sinusoidal basis functions on irregularly spaced series, and it is robust when data series are wide-sense stationary. An appropriate windowing technique can be applied to adapt this method to non-stationary data series. When data series present mild aliasing, this method can efectively regularize the data series; however, additional information or assumption is needed when the data series is coarsely sampled. In this paper, we show how to incorporate the spatial gradients of the data series into the method to regularize data series presenting severe aliasing and show its robust performance on synthetic and marine seismic data examples.
Czasopismo
Rocznik
Strony
1349--1363
Opis fizyczny
Bibliogr. 38 poz.
Twórcy
  • University of Calgary, 2500 University Dr NW, Calgary, AB T2N 1N4, Canada
Bibliografia
  • 1. Abma R, Claerbout J (1995) Lateral prediction for noise attenuation by t−xt−x and f−xf−x techniques. Geophysics 60(6):1887–1896
  • 2. Abma R, Kabir N (2006) 3D interpolation of irregular data with a POCS algorithm. Geophysics 71(6):E91–E97
  • 3. Chen Y, Zhang L, Mo L (2015) Seismic data interpolation using nonlinear shaping regularization. J Seism Explor 24(5):327–342
  • 4. Chen Y, Zhang D, Jin Z, Chen X, Zu S, Huang W, Gan S (2016) Simultaneous denoising and reconstruction of 5D seismic data via damped rank-reduction method. Geophys J Int 206(3):1695–1717
  • 5. Crawley S (2000) Seismic trace interpolation with nonstationary prediction-error filters. PhD thesis, Stanford University, USA
  • 6. Craymer MR (1998) The least-squares spectrum, its inverse transform and autocorrelation function: theory and some application in geodesy. PhD thesis, University of Toronto, Canada
  • 7. Dragoset B, Verschuur E, Moore I, Bisley R (2010) A perspective on 3D surface-related multiple elimination. Geophysics 75(5):75A245–75A261
  • 8. Ferraz-Mello S (1981) Estimation of periods from unequally spaced observations. Astron J 86(4):619–624
  • 9. Fomel S (2002) Applications of plane-wave destruction filters. Geophysics 67(6):1946–1960
  • 10. Fomel S (2007) Shaping regularization in geophysical-estimation problems. Geophysics 72(2):R29–R36
  • 11. Foster G (1996) Wavelet for period analysis of unevenly sampled time series. Astron J 112(4):1709–1729
  • 12. Gao JJ, Stanton A, Naghizadeh M, Sacchi MD, Chen X (2012) Convergence improvement and noise attenuation considerations for beyond alias projection onto convex sets reconstruction. Geophys Prospect 61(s1):138–151
  • 13. Ghaderpour E (2018) Least-squares wavelet analysis and its applications in geodesy and geophysics. PhD thesis, York University, Canada
  • 14. Ghaderpour E, Pagiatakis SD (2017) Least-squares wavelet analysis of unequally spaced and non-stationary time series and its applications. Math Geosci 49(7):819–844
  • 15. Ghaderpour E, Liao W, Lamoureux MP (2018) Antileakage least-squares spectral analysis for seismic data regularization and random noise attenuation. Geophysics 83(3):V157–V170
  • 16. Guo Z, Zheng Y, Liao W (2015) High fidelity seismic trace interpolation. In: SEG, expanded abstracts, pp 3915–3919. https://doi.org/10.1190/segam2015-5923716.1
  • 17. Hogg RV, McKean J, Craig AT (2013) Introduction to mathematical statistics, 7th edn. Pearson, Boston, p 694
  • 18. Horn RA, Johnson CR (2012) Matrix analysis, 2nd edn. Cambridge University Press, Cambridge
  • 19. Liu G, Chen X (2017) Seismic data interpolation using frequency-domain complex nonstationary autoregression. Geophys Prospect 66(3):478–497
  • 20. Liu B, Sacchi MD (2004) Minimum weighted norm interpolation of seismic records. Geophysics 69(6):1560–1568
  • 21. Özbek A, Vassallo M, Özdemir K, Molteni D, Alp YK (2010a) Anti-alias optimal interpolation with priors. In: SEG technical program expanded abstracts, pp 3401–3405. https://doi.org/10.1190/1.3513555
  • 22. Özbek A, Vassallo M, Özdemir K, van Manen DJ, Eggenberger K (2010b) Crossline wavefield reconstruction from multicomponent streamer data: part 2-joint interpolation and 3D up/down separation by generalized matching pursuit. Geophysics 75(6):WB69–WB85
  • 23. Özbek A, Vassallo M, Eggenberger K, van Manen DJ, Özdemir K, Curtis T (2012) On the role of priors in generalized matching pursuit to reconstruct wavefields from multicomponent streamer data. In: 74th EAGE conference and exhibition incorporating SPE EUROPEC, Copenhagen, Denmark. https://doi.org/10.3997/2214-4609.20148377
  • 24. Pagiatakis S (1999) Stochastic significance of peaks in the least-squares spectrum. J Geod 73(2):67–78
  • 25. Robertsson JO, Moore I, Vassallo M, Özdemir AK, van Manen DJ, Özbek A (2008) On the use of multicomponent streamer recordings for reconstruction of pressure wavefields in the crossline direction. Geophysics 73(5):A45–A49
  • 26. Schonewille M, Klaedtke A, Vigner A (2009) Anti-alias anti-leakage Fourier transform. In: SEG technical program expanded abstracts, pp 3249–3253. https://doi.org/10.1190/1.3255533
  • 27. Spitz S (1991) Seismic trace interpolation in the f−xf−x domain. Geophysics 56(6):785–794
  • 28. Vaníček P (1969) Approximate spectral analysis by least-squares fit. Astrophys Space Sci 4:387–391
  • 29. Vaníček P, Krakiwsky EJ (1986) Geodesy the concepts. University of New Brunswick, Amsterdam
  • 30. Vassallo M, Özbek A, Özdemir AK, Eggenberger K (2010) Crossline wavefield reconstruction from multicomponent streamer data: part 1-multichannel interpolation by matching pursuit (MIMAP) using pressure and its crossline gradient. Geophysics 75(6):WB53–WB67
  • 31. Wang Y (2002) Seismic trace interpolation in the f−x−yf−x−y domain. Geophysics 67(4):1232–1239
  • 32. Wang Y, Cao J, Yang C (2011) Recovery of seismic wavefields based on compressive sensing by an l1-norm constrained trust region method and the piecewise random subsampling. Geophys J Int 187(1):199–213
  • 33. Wang B, Chen X, Li J, Cao J (2016) An improved weighted projection onto convex sets method for seismic data interpolation and denoising. IEEE J Sel Top Appl Earth Obs Remote Sens 9(1):228–235
  • 34. Weglein AB, Gasparotto FA, Carvalho PM, Stolt RH (1997) An inverse-scattering series method for attenuating multiples in seismic reflection data. Geophysics 62(6):1975–1989
  • 35. Wells DE, Krakiwsky EJ (1971) The method of least-squares. Department of Surveying Engineering, University of New Brunswick, Canada
  • 36. Xu S, Zhang Y, Pham D, Lambaré G (2005) Antileakage Fourier transform for seismic data regularization. Geophysics 70(4):V87–V95
  • 37. Xu S, Zhang Y, Lambaré G (2010) Antileakage Fourier transform for seismic data regularization in higher dimensions. Geophysics 75(6):WB113–WB120
  • 38. Yang P, Gao J, Chen W (2012) Curvelet-based POCS interpolation of nonuniformly sampled seismic records. J Appl Geophys 79:90–99
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-248159da-6386-4a9b-96bf-9f489555bba9
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