Preserved amplitude migration based on the one way wave equation in the angle domain
Ye Yue-Ming1, Li Zhen-Chun1, Xu Xiu-Gang1, Zhu Xu-Feng2, and Tong Zhao-Qi1
1. College of Earth Resources and Information, China University of Petroleum (East China), Dongying 257061, China.
2. Bureau of Geophysical Prospecting, Zhuozhou 072751, China.
Abstract：
Traditional pre-stack depth migration can only provide subsurface structural information. However, simple structure information is insufficient for petroleum exploration which also needs amplitude information proportional to reflection coefficients. In recent years, pre-stack depth migration algorithms which preserve amplitudes and based on the one-way wave equation have been developed. Using the method in the shot domain requires a deconvolution imaging condition which produces some instability in areas with complicated structure and dramatic lateral variation in velocity. Depth migration with preserved amplitude based on the angle domain can overcome the instability of the one-way wave migration imaging condition with preserved amplitude. It can also offer provide velocity analysis in the angle domain of common imaging point gathers. In this paper, based on the foundation of the one-way wave continuation operator with preserved amplitude, we realized the preserved amplitude prestack depth migration in the angle domain. Models and real data validate the accuracy of the method.
YE Yue-Ming,LI Zhen-Chun,XU Xiu-Gang et al. Preserved amplitude migration based on the one way wave equation in the angle domain[J]. APPLIED GEOPHYSICS, 2009, 6(1): 50-58.
[1]
Biondi, B., and Symes, W, 2004, Angle-domain common-image gathers for migration velocity analysis by wavefied-continuation imaging: Geophysics, 69(5), 1283 - 1298.
[2]
Chen, J. B., Wang, H. Z., and Ma, Z. T., 2001, Finite-difference pre-stack depth migration with error compensation: Oil Geophysical Prospecting (in Chinese), 36(4), 408 - 413.
[3]
Cui, X. F., Zhang, G. Q., and Wu, Y. L., 2004, True amplitude seismic migration operator in 3D heterogeneous medium: Chinese Journal of Geophysics (in Chinese), 47(3), 509 - 513.
[4]
Liu, D. Q., Cui, X. F., and Zhang, G. Q., 2004, True-amplitude migration of wave-equation hybrid method: Oil Geophysical Prospecting (in Chinese), 39(3), 283 - 286.
[5]
Liu, D. J., and Yin, X. Y., 2007, A method of Fourier finite-difference preserved-amplitude pre-stack depth migration: Chinese Journal of Geophysics (in Chinese), 50(1), 268 - 276.
[6]
Rickett, J. E., and Sava, P. C., 2002, Offset and angle-domain common image-point gathers for shot-profile migration: Geophysics, 67(3), 883 - 889.
[7]
Sava, P.C, and Fomel, S., 2003, Angle-domain common-image gathers by wavefield continuation methods: Geophysics, 68(3), 1065 - 1074
[8]
Sun, J. G., 2002, Kirchhoff-type true-amplitude migration and demigration: Progress in Exploration Geophysics (in Chinese), 25(6), 1 - 5.
[9]
Wang, D., Zheng, X. D., Zhang, Q. B., Wang, H. Z., and Ma, Z. T., 2008, Amplitude-preserving plane-wave prestack time migration for AVO analysis: Applied Geophysics, 5(3), 212 - 218.
[10]
Xie, X. B., and Wu, R. S., 2002, Extracting angle domain information from migrated wave field: 72nd Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 1360 - 1363.
[11]
Xu, S., and Lambaré, G., 2006, True amplitude Kirchhoff prestack depth migration in complex media: Chinese Journal of Geophysics (in Chinese), 49(5), 1431 - 1444.
[12]
Yang, W. Y., Zhang, H. Z., Mao, J. G., Wang, H.Q., Wang, D.M., 2003, Finite-difference migration with compensation for absorption, dispersion and transmission losses in seismic data: Geophysical Prospecting for Petroleum (in Chinese), 42(3), 285 - 288.
[13]
Ye, Y. M., Li, Z. C., Tong, Z. Q., and Cao, W. J., 2008, Xwfd preserved-amplitude migration with dual-complexity: Chinese Journal of Geophysics (in Chinese), 52(5), 1511 - 1519.
[14]
Zhang, G. Q., 1993, System of coupled equations for downgoing and upcoming waves: Journal of Applied Math. (in Chinese), 16(2), 251 - 263.
[15]
Zhang, G. Q., 2000, Wave field split square root operator and migration: The Collection of Thesis About Reflected Seismic Theory (in Chinese), Tongji University Press, Shanghai, China.
[16]
Zhang, Y., Zhang, G. Q., and Bleistein, N., 2005, Theory of true-amplitude one-way wave equations and true-amplitude common-shot migration: Geophysics, 70(4), E1 - E10.
[17]
Zhang, Y., 2006, The theory of true amplitude one-way wave equation migration: Chinese Journal of Geophysics (in Chinese), 49(5), 1410 - 1430.
[18]
Zhang, L.Y., and Liu, Y., 2008, Anisotropic converted wave amplitude-preserving prestack time migration by the pseudo-offset method: Applied Geophysics, 5(3), 204 - 211.
2009, Vol. 6 
