Abstract
The Q-factor is an important physical parameter for characterizing the absorption and attenuation of seismic waves propagating in underground media, which is of great significance for improving the resolution of seismic data, oil and gas detection, and reservoir description. In this paper, the local centroid frequency is defined using shaping regularization and used to estimate the Q values of the formation. We propose a continuous time-varying Q-estimation method in the time-frequency domain according to the local centroid frequency, namely, the local centroid frequency shift (LCFS) method. This method can reasonably reduce the calculation error caused by the low accuracy of the time picking of the target formation in the traditional methods. The theoretical and real seismic data processing results show that the time-varying Q values can be accurately estimated using the LCFS method. Compared with the traditional Q-estimation methods, this method does not need to extract the top and bottom interfaces of the target formation; it can also obtain relatively reasonable Q values when there is no effective frequency spectrum information. Simultaneously, a reasonable inverse Q. filtering result can be obtained using the continuous time-varying Q values.
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Reference
An, Y., 2015, Fracture prediction using prestack Q calculation and attenuation anisotropy: Applied Geophysics, 12(3), 430–440.
Bath, M., 1974, Spectral analysis in geophysics: Elsevier Scientific Publishing Company, New York.
Engelhard, L., 1996, Determination of seismic-wave attenuation by complex trace analysis: Geophysical Journal International, 125, 608–622.
Fomel, S., 2007a, Local seismic attributes: Geophysics, 72(3), A29–A33.
Fomel, S., 2007b, Shaping regularization in geophysical-estimation problems: Geophysics, 72(2), R29–R36.
Gao, J. H., and Yang, S. L., 2007, On the method of quality factors estimation from zero-offset VSP data: Chines Journal of Geophysics (in Chinese), 50(4), 1198–1209.
Gong, T. J., Sun, C. Y., Peng H. C., Xiao, Y. F., and Sun, T. T., 2009, Comparison of several computational methods of quality factor: Progress in Exploration Geophysics (in Chinese), 32(4), 252–256.
Hao, Y. J., Wen, X. T., Zhang, B., et al., 2016, Q estimation of seismic data using the generalized S-transform: Journal of Applied Geophysics, 135, 122–134.
Hu, C. H., Tu, N, and Lu, W. K., 2013, Seismic attenuation estimation using an improved frequency shift method: IEEE Geoscience and Remote Sensing Letters, 10(5), 1026–1030.
Jannsen, D., Voss, J., and Theilen, F., 1985, Comparison of methods to determine Q in shallow marine sediments from vertical reflection seismograms: Geophysical Prospecting, 33(4), 479–497.
Kjartansson, E., 1979, Constant Q-wave propagation and attenuation: Journal of Geophysical Research, 84(B9), 4737–4748.
Li, C. H., and Liu, X. W., 2015, A new method for interval Q-factor inversion from seismic reflection data.: Geophysics, 80 (6), R361–R373.
Li, F. Y., Zhou, H. L., Jiang, N., Bi, T. X., and Margurt, K. J., 2015, Q estimation from reflection seismic data for hydrocarbon detection using a modified frequency shift method: Journal of Geophysics and Engineering, 12(4), 577–586.
Liu, G. C., Chen, X. H., and Rao Y., 2018, Seismic quality factor estimation using frequency-dependent linear fitting: Journal of Applied Geophysics, 156, 1–8.
Liu, G. C., Chen, X. H., Du, J., and Liu, Y., 2011, Seismic Q estimation using S-transform with regularized inversion: Oil Geophysics Prospecting (in Chinese), 46(3), 417–422.
Liu, X. H., Liu, G. C., Cui, Y. J., et al., 2016, Q estimation with lateral constraint based on local time-frequency transform: Oil Geophysics Prospecting (in Chinese), 51(5), 868–874.
Liu, Y., and Fomel, S., 2013, Seismic data analysis using local time-frequency decomposition: Geophysical Prospecting, 61(3), 516–525.
Liu, Y., Li, B. X., Liu, C., Chen, C. L., and Yang, X. T., 2016, Attenuation compensation method of seismic wave in the local time-frequency transform domain: Journal of Jilin University (Earth Science Edition) (in Chinese), 46(2), 594–602.
Lupinacci, W. M., and Oliveira, S. A. M., 2015, Q factor estimation from the amplitude spectrum of the time-frequency transform of stacked reflection seismic data: Journal of Applied Geophysics, 114, 202–209.
Quan, Y. L., and Harris, J. M., 1997, Seismic attenuation tomography using the frequency shift method: Geophysics, 62(3), 895–905.
Raikes, S. A., and White, R. E., 1984, Measurement of earth attenuation from downhole and surface seismic recordings: Geophysical Prospecting, 32(5), 892–919.
Reine, C., van der Baan M, and Clark, R., 2009, The robustness of seismic attenuation measurements using fixed- and variable-window time-frequency transforms: Geophysics, 74(2), WA123–WA135.
Tonn, R., 1991, The determination of seismic quality factor Q from VSP data: A comparison of different computational method: Geophysical Prospecting, 39(1), 1–27.
Wang, S. D., Yang, D. F., Li, J. N., and Song, H. J., 2015, Q factor estimation based on the method of logarithmic spectral area difference: Geophysics, 80(6), V157–V171.
Wang, Y. H., 2002, A stable and efficient approach to inverse Q filtering: Geophysics, 67(2), 657–663.
Wang, Y. H., 2004, Q analysis on reflection seismic data: Geophysical Research Letters, 31, L17606.
Wang, Y. H., 2006, Inverse Q-filter for seismic resolution enhancement: Geophysics, 71(3), V51–V60.
Wang, Z. J., Cao, S. Y., Zhang, H. R., et al., 2015, Estimation of quality factors by energy ration method: Applied Geophysics, 12(1), 86–92.
Winkler, K. W., and Nur, A., 1982, Seismic attenuation: effects of pore fluids and frictional sliding: Geophysics, 47(1), 1–15.
Wu, Z. W., Wu, Y. J., Guo, S., et al., 2018, Q-factor estimation in CMP gather and the continuous spectral ration slope method: Applied Geophysics, 15(3–4), 481–490.
Yan, Y. S., Yi, M. L., Wei, X., and Wan, W. M., 2001, Joint tomographic imaging for cross-hole seismic velocity and Q value: Oil Geophysics Prospecting (in Chinese), 36(1), 9–17.
Zhang, C. J., and Ulrych, T. J., 2002, Estimation of quality factors from CMP records: Geophysics, 67(5), 1542–1547.
Zhao, N., Cao, S. Y., Wang, Z. J., et al., 2013, Seismic Q estimation by combinations of frequency statistics attributes: Oil Geophysics Prospecting (in Chinese), 48(4), 545–552.
Acknowledgments
We would like to thank Liu Guochang of China University of Petroleum (Beijing) for his discussion and suggestions.
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This work was supported by The National Key Research and Development Program (No. 2016YFC0600505 and 2018YFC0603701), National Natural Science Foundation (No. 41974134 and 41774127).
Wang Qing-Han, is a PhD student at Jilin University. Her main research interests are seismic resolution enhancing and seismic data processing.
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Wang, QH., Liu, Y., Liu, C. et al. Continuous time-varying Q-factor estimation method in the time-frequency domain. Appl. Geophys. 17, 844–856 (2020). https://doi.org/10.1007/s11770-020-0869-8
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DOI: https://doi.org/10.1007/s11770-020-0869-8