Stratigraphic absorption compensation based on multiscale shearlet transform

• Autorzy: Liu C. , Wang D. , Sun J. , Li Y. , Yang F.

Identyfikatory

DOI

10.1007/s11600-018-0156-8

• Języki publikacji: EN

Abstrakty

EN

Seismic waves propagating through viscoelastic media experience stratigraphic absorption and attenuation effects, which directly affect the imaging resolution in seismic exploration. Without stratigraphic absorption, the ratio of deep reflection energy to shallow reflection energy (attenuation ratio) is invariable at different frequencies. If a seismogram is decomposed into different frequency bands, these signals will show similar time–energy distributions. Therefore, the attenuation ratios should be similar across different frequency bands, except for frequency-variable weights. Nevertheless, the frequencyvariable weights for different frequency bands can be obtained by benchmarking against the time–energy distributions of low-frequency information because the loss of low-frequency information is relatively insignificant. In this light, we obtained frequency-variable weights for different frequencies and established a stratal absorption compensation (SAC) model. The anisotropic basis of the shearlet enables nearly optimal representation of curved-shape seismic signals, and shearlets at different scales can represent signals for different frequency bands. Then, we combined the SAC model with the shearlet transform and established the new compensation method. As the signal and noise have different distributions in the shearlet domain, we selectively compensated the signals using a thresholding algorithm. Hence, it was possible to avoid noise enhancement. This is the prominent advantage of the proposed method over other compensation methods.

Słowa kluczowe

EN

shearlet transform; Inverse Q filtering; stratal absorption compensation; time analysis; frequency analysis

PL

transformacja Shearleta; filtracja Inverse Q; kompensacja absorpcji stratalnej; analiza czasu; analiza częstotliwości

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2018
• Tom: Vol. 66, no. 4
• Strony: 575--584
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Liu C.

• College of Geo Exploration Science and Technology, Jilin University, Changchun 130026, People’s Republic of China

autor

Wang D.

• College of Geo Exploration Science and Technology, Jilin University, Changchun 130026, People’s Republic of China

autor

Sun J.

• China National Offshore Oil Corporation, Tianjin 300451, People’s Republic of China

autor

Li Y.

• China National Offshore Oil Corporation, Zhanjiang 524057, People’s Republic of China

autor

Yang F.

• College of Geo Exploration Science and Technology, Jilin University, Changchun 130026, People’s Republic of China

Bibliografia

• 1. Bai H, Li K (1999) Stratigraphic absorption based on time–frequency analysis. Oil Geophys Prospect 34(6):642–648 (in Chinese)
• 2. Candès EJ, Donoho DL (2005a) Continuous curvelet transform: I. Resolution of the wavefront set. Appl Comput Harmonic Anal 19(2):162–197
• 3. Candès EJ, Donoho DL (2005b) Continuous curvelet transform: II. Discretization and frames. Appl Comput Harmonic Anal 19(2):198–222
• 4. Ferber R (2005) A filter bank solution to absorption simulation and compensation. SEG Tech Program Expand Abstr 24(1):2668
• 5. Gao J, Ling Y, Zhou X, Mou YG (1996) Compensation for spherical divergence and absorption in time and frequency domain. Oil Geophys Prospect 31(6):856–866 (in Chinese)
• 6. Guo K, Lim W, Labate D, Weiss G, Wilson E (2004a) Wavelets with composite dilations. Electron Res Announc Am Math Soc 10:78–87
• 7. Guo K, Lim W, Labate D, Weiss G, Wilson E (2004b) The theory of wavelets with composite dilations. In: Heil C (ed) Harmonic analysis and applications. Birkhäuser, Boston, pp 231–250
• 8. Guo K, Lim W, Labate D, Weiss G, Wilson E (2006) Wavelets with composite dilations and their MRA properties. Appl Comput Harmonic Anal 20:231–249
• 9. Häuser S (2012) Fast finite Shearlet transform. arXiv:1202.1773
• 10. Herrmann FJ (2007) Recent developments in curvelet-based seismic processing. Seismic Laboratory for Imaging and Modeling, European Association of Geoscientists and Engineers, London. https://doi.org/10.3997/2214-4609.201405085
• 11. Herrmann FJ, Moghaddam P, Stolk CC (2008) Sparsity- and continuity-promoting seismic image recovery with curvelet frames. Appl Comput Harmonic Analsis 24(2):150–173
• 12. Lakshman H, Lim WQ, Schwarz H et al (2015) Image interpolation using shearlet based iterative refinement. Sig Process Image Commun 36:83–94
• 13. Li K, Li Y, Zhang X (2000) A method to compensate earth filtering based on wavelet packet. Chin J Geophys 43(4):542–549 (in Chinese)
• 14. Ling Y, Gao J, Zhang R (1997) Sand-dune Q absorption compensation based on 1-D elastic damping wave theory. Oil Geophys Prospect 32(6):795–803 (in Chinese)
• 15. Liu X, Nian J, Liu H (2006) Generalized S-transform based on compensation for stratigraphic absorption of seismic attenuation. Geophys Prospect Petrol 45(1):9–14
• 16. Liu C, Wang D, Wang T et al (2014) Random seismic noise attenuation based on the shearlet transform. Acta Petrol Sin 35(4):692–699 (in Chinese)
• 17. Quan YL, Harris JM (1997) Seismic attenuation tomography using the frequency shift method. Geophysics 62(3):895–905
• 18. Saatcilar R, Coruh C (1999) Seismic Q estimations for lithological interpretation. SEG Tech Program Expand Abstr 14(1):1366
• 19. Scott S, Taner MT, Treitel S (2006) Q estimation using Gabor–Morlet joint time–frequency analysis. In: SEG expanded abstracts, pp 2610–2614. https://doi.org/10.1190/1.2369829
• 20. Wang Y (2002) A stable and efficient approach of inverse Q filtering. Geophysics 67(2):657
• 21. Wang Y (2006) Inverse Q-filter for seismic resolution enhancement. Geophysics 71(3):v5l–v61
• 22. Wang D, Sun J, Meng D et al (2013) Absorption compensation based on curvelet transform. J Seism Explor 22(1):19–32
• 23. Zhang G, Xiong X, Rong JJ, Cai ZD (2010) Stratum absorption and attenuation compensation based on improved generalized S transform. Oil Geophys Prospect 45(4):512–515 (in Chinese)
• 24. Zhao S, Wang X, Wang J (1994) A simple frequency compensation method. Oil Geophys Prospect 29(2):231–235 (in Chinese)
• 25. Zhou H, Qu G, Yang B (1994) New methods for calculating Q value using spectrum of seismic record. J Jilin Univ (Earth Sci Edn) 4:461–467 (in Chinese)