ARTICLE

A variable gain-limited inverse Q filtering method to enhance the resolution of seismic data

YU SHI1 HUAI-LAI ZHOU2 CONG NIU3 CHUN-CHENG LIU3 LING-JUN MENG2
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1 College of Geophysics, Chengdu University of Technology, Chengdu, Sichuan 610059, P.R. China. Sichuan Coalfield Geology Bureau, Chengdu 610072, P.R. China.,
2 State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Key Lab of Earth Exploration and Information Techniques of Ministry of Education, College of Geophysics, Chengdu University of Technology, Chengdu, Sichuan 610059, P.R. China.,
3 CNOOC Research Institute, Beijing 100027, P.R. China.,
JSE 2019, 28(3), 257–276;
Submitted: 9 June 2025 | Revised: 9 June 2025 | Accepted: 9 June 2025 | Published: 9 June 2025
© 2025 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

Shi, Y., Zhou, H.L., Niu, C., Liu, C.C. and Meng, L.J., 2019. A variable gain-limited inverse Q filtering method to enhance the resolution of seismic data. Journal of Seismic Exploration, 28: 257-276. Energy absorption, quantified by the quality factor Q, is the main factor of seismic wave attenuation and phase distortion. Inverse Q filtering, which is the inverse process of absorption, can not only effectively compensate the seismic wave attenuation but also correct phase distortion. Stabilized inverse Q filter is a relatively stable inverse Q filtering method. This method effectively overcomes the numerical instability problem while correcting phases distortion and compensating attenuation. However, because of the static nature of the stabilization factor, it may not effectively compensate the attenuation in the deep section or suppress environmental noise when the stabilization factor is less than the optimal. Based on the stabilized inverse Q filter, in this paper, we propose a variable gain-limited inverse Q filtering method to improve the resolution of seismic data. The proposed method contains gain limit and stabilization factor varied with time and Q value, resulting in a more stable and effective gain control. In the applications of both synthetic and field data, we demonstrate that the proposed method can effectively compensate deep energy attenuation and suppress environmental noise, improving the resolution of seismic data without deteriorating signal-to-noise ratio of seismic data. In addition, we calibrate the algorithm proposed in this paper on the enhanced resolution seismic data, showing the value on improving the inversion accuracy.

Keywords
absorption attenuation
inverse Q filtering
gain-control
stabilization factor
signal-noise ratio
References
  1. Bickel, S.H. and Natarajan, R.R., 1985. Plane-wave O deconvolution, Geophysics, 50:
  2. 1426-1439.
  3. Chen, Z.B., Chen, X.H., Li, J-Y., Wang, B.F. and Ma, S., 2014. A band-limited and
  4. robust inverse Q filtering algorithm, Oil Geophys. Prosp. (in Chinese), 49: 68-75.
  5. Futterman, W.L., 1962. Dispersive body waves, J . Geophys. Res, 69: 5279-5291.
  6. Hale, D., 1981. Q and Adaptive Prediction Error Filters. Stanford Exploration Project
  7. Rep., 28: 209-231.
  8. Hale, D., 1982. An inverse Q-filter. Stanford Exploration Project Report., 26: 231-243.
  9. Hargreaves, N.D. and Calvert, A.J., 1991. Inverse Q filtering by Fourier transform.
  10. Geophysics, 56: 519-527.
  11. Hargreaves, N.D., 1992. Similarity and the inverse Q filter: some simple algorithms for
  12. inverse Q filtering. Geophysics, 57: 944-947.
  13. Kjartansson, E., 1979. Constant O wave propagation and attenuation, J. Geophys. Res,
  14. 84(B9): 4737-4748.
  15. Liu, C., Feng, H. and Zhang, J., 2013. Stable iterative method of inverse Q filter. Petrol.
  16. Geophys. Prosp., 48: 890-895.
  17. Margrave, G.F., Lamoureux, M.P. and Grossman, J.P., 2002. Gabor deconvolution of
  18. seismic data for source waveformand Q correction. Expanded Abstr., 72nd Ann.
  19. Internat. SEG Mtg., Salt Lake City: 2190-2193.
  20. Margrave, G.F., Lamoureux, M.P. and Henley, D.C., 2011. Gabor deconvolution:
  21. Estimating reflectivity by nonstationary deconvolution of seismic data. Geophysics,
  22. 76(3): W15-W30.
  23. Stolt, R., 1978. Migration by Fourier transform, Geophysics, 43: 23-48.
  24. Wang, Y.H., 2002. A stable and efficient approach of inverse Q filtering, Geophysics, 67:
  25. 657-663.
  26. Wang, Y.H., 2003. Quantifying the effectiveness of stabilized inverse Q-filtering.
  27. Geophysics, 68: 337-345.
  28. Wang, Y.H., 2004. Modified Kolsky model for seismic attenuation and dispersion. J.
  29. Geophys. Engineer., 1(3): 187-196.
  30. Wang, Y.H., 2006. Inverse Q-filter for seismic resolution enhancement, Geophysics, 71:
  31. 351-360.
  32. Wang, Y.H., 2008. Seismic Inverse Q Filtering. Blackwell Scientific Publishing, Oxford.
  33. Wang, Y.H., 2014. Stable Q analysis on vertical seismic profiling data. Geophysics,
  34. 79(4), D217-D225.
  35. Wu, J.Z., Yang, X.L. and Long, Y., 2016. A robust approach of inverse Q filtering with
  36. equivalent Q. Petrol. Geophys. Prosp., 51: 63-70.
  37. Yao, Z.X., Gao, X. and Li, W.X., 2003. The forward Q method for compensating
  38. attenuation and frequency dispersion used in the seismic profile of depth domain. J.
  39. Geophys., 46: 229-230.
  40. Yan, H.Y., Liu, Y. and Zhao, Q.H., 2011. A method for improving VSP resolution by
  41. inverse Q filtering. OGP, 46: 873-880.
  42. Zhou, H.L., Tian, Y.M. and Ye, Y., 2014. Dynamic deconvolution of seismic data based
  43. on generalized S-transform. J. Appl. Geophys., 10(8): 1-11.
  44. Zhou, H.L., Wang, C.C., Marfurt, K.J., Jian, Y.W. and Bi, JX., 2016. Enhancing the
  45. resolution of non-stationary seismic data using improved time-frequency spectral
  46. modelling. Geophys. J. Internat., 20(5): 203-219.
  47. Zhang, G.L., He, Z.H. and Wang, X.M., 2015. A self-adaptive approach for inverse
  48. Q-filtering, Chin. J. Geophys. (in Chinese) , 57: 1655-1663.
  49. doi: 10.6038/cjg20140528.
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Journal of Seismic Exploration, Electronic ISSN: 0963-0651 Print ISSN: 0963-0651, Published by AccScience Publishing