Applied Geophysics

, Volume 16, Issue 2, pp 199–208 | Cite as

Joint inversion method for interval quality factor based on amplitude and phase information

  • Dan-Ping CaoEmail author
  • Yue Li
  • Wen-Guo Sun
  • Kai Liang
Seismic Migration/Inversion


Estimating the quality factor Q accurately significantly improves the seismic data resolution and reservoir characterization. The commonly used log-spectral ratio method uses least-squares fitting to obtain Q values and involves only the amplitude information of seismic data while neglecting phase information. This paper proposes a joint interval Q inversion method based on the spectral ratio method and employs both amplitude and phase information to improve the accuracy. Based on the assumption that Q is independent of frequency, the nonlinear relation between the Q value and the two types of information is jointly used to construct an objective function, which clarifies the quantitative relation between amplitude spectrum, phase information, and Q value. The interval Q value can be inverted by calculating the minimum value of the objective function. The model test exhibits that the proposed method has higher precision and stability than the spectral ratio method; furthermore, the application to field data demonstrates that accurate Q inversion results are consistent with reservoir characteristics.


viscoelastic medium quality factor amplitude phase 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.



The authors would like to thank Ph.D. Bo Zhang for his valuable suggestions. The authors are grateful to the reviewers and the editors for their constructive comments.


  1. An, Y., 2015, Fracture prediction using prestack Q calculation and attenuation anisotropy: Applied Geophysics, 12(3), 432–440.CrossRefGoogle Scholar
  2. Bath, M., 1974, Spectral analysis in geophysics: Elsevier, Netherlands.Google Scholar
  3. Blanchard, T. D., and Delommot, P., 2015, An example of the measurement and practical applications of timelapse seismic attenuation: Geophysics, 80(2), 25–34.CrossRefGoogle Scholar
  4. Blias, E., 2012, Accurate interval Q-factor estimation from VSP data: Geophysics, 77(3), 149–156.CrossRefGoogle Scholar
  5. Cao, S. Y., Tan, J., Gao, M., et al., 2014, Seismic Q estimation with logarithmic spectrum equation root: Oil Geophysical Prospecting (in Chinese), 49(1), 161–166.Google Scholar
  6. Cheng, P., 2013, Anelastic attenuation in seismic data: modeling, measurement, and correction: PhD Thesis, University of Calgary, Calgary.Google Scholar
  7. Futterman, W. I., 1962, Dispersive body waves: Journal of Geophysical Research, 67(13), 5279–5291.CrossRefGoogle Scholar
  8. Gao, J. H., Chen, W. C., Li, Y. M., et al., 2003, Generalized S transform and seismic response analysis of thin interbeds: Chinese Journal of Geophysics (in Chinese), 46(4), 526–532.Google Scholar
  9. Jeng, Y., Tsai, J. Y., and Chen, S. H., 1999, An improved method of determining near-surface Q: Geophysics, 64(5), 1608–1617.CrossRefGoogle Scholar
  10. Kjartansson, E., 1979, Constant Q-wave propagation and attenuation: Journal of Geophysical Research: Solid Earth, 84, 4737–4748.CrossRefGoogle Scholar
  11. Liu, G. C., Chen, X. H., Du, J., et al., 2011, Seismic Q estimation using S-transform with regularized inversion: Oil Geophysical Prospecting (in Chinese), 46(3), 417–422.Google Scholar
  12. Liu, Y. L., Li, Z. C., Yang, G. Q., et al., 2019, An improved method to estimate Q based on the logarithmic spectrum of moving peak points: Interpretation, 7(2), 255–263.CrossRefGoogle Scholar
  13. Sangwan, P., Kumar, D., Chakraborty, S., et al., 2019, Nonlinear approach to spectral ratio method for estimation of seismic quality factor from VSP data: Journal of Applied Geophysics, 167, 33–41.CrossRefGoogle Scholar
  14. Shatilo, A. P., Sondergeld, C., and Rai, C. S., 1998, Ultrasonic attenuation in Glenn Pool rocks, northeastern Oklahoma: Geophysics, 63(2), 465–478.CrossRefGoogle Scholar
  15. Taner, M. T., 1983, Joint time/frequency analysis, Q quality factor and dispersion computation using Gabor-Morlet wavelets or the Gabor-Morlet transform: Rock Solid Images, 1–5.Google Scholar
  16. Taner, M. T., Koehler, F., and Sheriff, R., 1979, Complex seismic trace analysis: Geophysics, 44(6), 1041–1063.CrossRefGoogle Scholar
  17. Tonn, R., 1991, The determination of the seismic quality factor Q from VSP data: A comparison of different computational methods: Geophysical Prospecting, 39(1), 1–27.Google Scholar
  18. Wang, Q., Gao, J. H., 2018, An improved peak frequency shift method for Q estimation based on generalized seismic wavelet function: Journal of Geophysics and Engineering, 15(1), 164–178.CrossRefGoogle Scholar
  19. Wang, Z. J., Cao, S. Y., Zhang, H. R., et al., 2015, Estimation of quality factors by energy ratio method: Applied Geophysics, 12(1), 86–92.CrossRefGoogle Scholar
  20. Ward, R. W., and Young, C. Y., 1980, Mapping seismic attenuation within geothermal systems using teleseisms with application to the Geysers-Clear Lake region: Journal of Geophysical Research: Solid Earth, 85(10), 5227–5236.CrossRefGoogle Scholar
  21. Winkler, K. W., and Nur, A., 1982, Seismic attenuation: Effects of pore fluids and frictional-sliding: Geophysics, 47(1), 1–15.Google Scholar
  22. Wu, Z. W., Wu, Y. J., Guo, S., et al., 2018, Q-factor estimation in CMP gather and the continuous spectral ratio slope method: Applied Geophysics, 15(3-4), 481–490.CrossRefGoogle Scholar
  23. Yan, H. Y., and Liu, Y., 2009, Estimation of Q and inverse Q filtering for prestack reflected PP-and converted PS-waves: Applied Geophysics, 6(1), 59–69.CrossRefGoogle Scholar
  24. Yuan, S. Y., Wang, S. X., Ma, M., et al., 2017, Sparse Bayesian learning-based time-variant deconvolution: IEEE Transactions on Geoscience and Remote Sensing, 55(11), 6182–6194.CrossRefGoogle Scholar
  25. Yuan, S. Y., Wang, S. X., Tian, N., et al., 2016, Stable inversion-based multitrace deabsorption method for spatial continuity preservation and weak signal compensation: Geophysics, 81(3), 199–212.CrossRefGoogle Scholar
  26. Zhang, C., and Ulrych, T. J., 2002, Estimation of quality factors from CMP records: Geophysics, 67(5), 1542–1547.CrossRefGoogle Scholar

Copyright information

© The Editorial Department of APPLIED GEOPHYSICS 2019

Authors and Affiliations

  • Dan-Ping Cao
    • 1
    • 2
    Email author
  • Yue Li
    • 1
    • 2
  • Wen-Guo Sun
    • 1
  • Kai Liang
    • 1
    • 2
  1. 1.School of GeosciencesChina University of Petroleum (East China)QingdaoChina
  2. 2.Laboratory for Marine Mineral ResourcesQingdao National Laboratory for Marine Science and TechnologyQingdaoChina

Personalised recommendations