Effect of inaccurate wavelet phase on prestack waveform inversion
Luo Chun-Mei1,2, Wang Shang-Xu1,2, and Yuan San-Yi1,2
1. State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, China.
2. CNPC Key Laboratory of Geophysical Exploration, China University of Petroleum, Beijing 102249, China.
Abstract Wavelets are critical to inversion methods. Incorrect phase estimation will affect the objective function and cause convergence to local minima, and thus produce biased or incorrect results. Based on two simple models and ignoring all other factors, we studied the variation of the wavelet phase as a function of frequency and its effect on the prestack waveform inversion. Numerical experiments show that an incorrect phase may result in large deviations from the real solution, even if there is a high similarity between the model and real wavelets. The precision of the inversion slightly improves by using the constant-phase rotation; however, the effect of phase inaccuracy is not eliminated, which limits the precision of prestack inversion.
This research was financially supported by the National Basic Research Program of China (973 Program) (No. 2013CB228600), National Natural Science Foundation of China (No. 41304108), Science Foundation of China University of Petroleum, Beijing (No. KYJJ2012-05-06) and Science Foundation of China, University of Petroleum, Beijing (No. 2462013YJRC007).
Cite this article:
LUO Chun-Mei,WANG Shang-Xu,YUAN San-Yi. Effect of inaccurate wavelet phase on prestack waveform inversion[J]. APPLIED GEOPHYSICS, 2014, 11(4): 479-488.
[1]
Aki, K., and Richards, P. G., 2002, Quantitative seismology: Theory and methods. University Science Books.
[2]
Alemie, W. and Sacchi, M. D., 2011, High-resolution three-term AVO inversion by means of a Trivariate Cauchy probability distribution: Geophysics, 2011, 76(3), 43-55.
[3]
Asnaashari, A., Brossier, R., Garambois, S., Audebert, F., Thore, P., and Virieux, J., 2013, Regularized seismic full waveform inversion with prior model information: Geophysics, 78(2), R25-R36.
[4]
Broadhead, M., 2008, The impact of random noise on seismic wavelet estimation: The Leading Edge, 27(2), 226-230.
[5]
Buland, A., and Omre, H., 2003, Bayesian wavelet estimation from seismic and well data: Geophysics, 68(6), 2000-2009.
[6]
Delprat-Jannaud, F., and Lailly, P., 2005, A fundamental limitation for the reconstruction of impedance profiles from seismic data: Geophysics, 70(1), 1-14.
[7]
Edgar J, and van der Baan M., 2011, How reliable is statistical wavelet estimation?: Geophysics, 2011, 76(4), 59-68.
[8]
Huang, X., Kelkar, M., Chopra, A., and Yang, C., 1995, Wavelet sensitivity study on inversion using heuristic combinatorial algorithms: 65th Annual International Metting, SEG, Expanded Abstracts, 1088-1090.
[9]
Liang, G., Cai, X., and Li, Q., 2002, Using high-order cumulants to extrapolate spatially variant seismic wavelets: Geophysics, 67(6), 1869-1876.
[10]
Lindsey, J. P. 1988, Measuring wavelet phase from seismic data: The Leading Edge, 7(7), 10-16.
[11]
Nowak, E. J., Swan, H. W., and Lane, D., 2008, Quantitative thickness estimates from the spectral response of AVO measurements: Geophysics, 73(1), C1-C6.
[12]
Ostrander, W., 1984, Plane-wave reflection coefficients for gas sands at nonnormal angles of incidence: Geophysics, 49(10), 1637-1648.
[13]
Perez, D. O., and Veils, D. R., 2011, Sparse-spike AVO/AVA attributes from prestack data: 81st Annual International Metting, SEG,, Expanded Abstracts, 340-344.
[14]
Perez, D. O., Veils, D. R., and Sacchi, M., 2013, High-resolution prestack seismic inversion using a hybrid FISTA least-squares strategy: Geophysics, 78(5), 185-195.
[15]
Todoeschuck, J. P., and Jensen, O. G., 1988, Joseph geology and seismic deconvolution: Geophysics, 53(11), 1410-1414.
[16]
van der Baan, M., 2008, Time-varying wavelet estimation and deconvolution by kurtosis maximization: Geophysics, 73(2), V11-V18.
[17]
van der Baan, M., and Pham, D., 2008, Robust wavelet estimation and blind deconvolution of noisy surface seismics: Geophysics, 73(5), 37-46.
[18]
van der Baan, M., and S. Fomel, 2009, Nonstationary phase estimation using regularized local kurtosis maximization: Geophysics, 74(6), A75-A80.
[19]
Velis, D. R., 2008, Stochastic sparse-spike deconvolution: Geophysics, 73(1), R1-R9.
[20]
Wood, W., 1999, Simultaneous deconvolution and wavelet inversion as a global optimization: Geophysics, 64(4), 1108-1115.
[21]
Yu, Y. C., Wang, S. X. Yuan, S. Y., and Qi, P. F., 2011, Phase estimation in bispectral domain based on conformal mapping and applications in seismic wavelet estimation: Applied Geophysics, 8(1), 36-47.
[22]
Yuan, S. Y., and Wang, S. X., 2011, Influence of inaccurate wavelet phase estimation on seismic inversion: Applied Geophysics, 8(1), 48-59.
[23]
Yuan, S. Y., and Wang, S. X., 2013, Spectral sparse Bayesian learning reflectivity inversion: Geophysical Prospecting, 61(4), 735-746.
[24]
Yuan, S. Y., Wang, S. X. and Tian, N. 2009, Swarm intelligence optimization and its application in geophysical data inversion: Applied Geophysics, 6(2), 166-174.
Wang Zong-Jun, Cao Si-Yuan, Zhang Hao-Ran, Qu Ying-Ming, Yuan Dian, Yang Jin-Hao, Zhang De-Long, Shao Guan-Ming. Estimation of quality factors by energy ratio method[J]. APPLIED GEOPHYSICS, 2015, 12(1): 86-92.
2014, Vol. 11 
