Poststack reverse-time migration using a non-reflecting recursive algorithm on surface relief
Zhang Min1, Li Zhen-Chun1, Zhang Hua2, and Sun Xiao-Dong1
1. College of Geo-Resource and Information, China University of Petroleum (East China), Dongying 257061, China.
2. Sichuan Petroleum Administrative Bureau, Chengdu 610051, China.
Abstract Presently the research based on the accurate seismic imaging methods for surface relief, complex structure, and complicated velocity distributions is of great significance. Reverse-time migration is considered to be one of highly accurate methods. In this paper, we propose a new non-reflecting recursive algorithm for reverse-time migration by introducing the wave impedance function into the acoustic wave equation and the algorithm for the surface relief case is derived from the coordinate transformation principle. Using the exploding reflector principle and the zero-time imaging condition of poststack reverse-time migration, poststack numerical simulation and reverse-time migration with complex conditions can be realized. The results of synthetic and real data calculations show that the method effectively suppresses unwanted internal reflections and also deals with the seismic imaging problems resulting from surface relief. So, we prove that this method has strong adaptability and practicality.
This work was supported by the National Natural Science Foundation of China (Grant No. 40974073) the National 863 Program (Grant No.2007AA060504) the National 973 Program (Grant No. 2007CB209605) and CNPC Geophysical Laboratories.
Cite this article:
ZHANG Min,LI Zhen-Chun,ZHANG Hua et al. Poststack reverse-time migration using a non-reflecting recursive algorithm on surface relief[J]. APPLIED GEOPHYSICS, 2010, 7(3): 239-248.
[1]
Baysal, E., Kosloff, D. D, and Sherwood, J. W. C., 19 84, A two-way nonreflecting wave equation: Geophysics, 49(2), 132 - 141.
[2]
Dong, Y., Yang, H. Z., and Du, Q. Z., 2003, Study on reverse-time migration of two-dimensional wave equation with finite element-finite difference method: Journal of China University of Petroleum (Edition of Natural Science), 27(6), 25 - 29.
[3]
Farmer, P. A., Jones, I. F., Zhou, H., Bloor, R. I., and Goodwin, M. C., 2006, Application of reverse time migration to complex imaging problems: First Break, 24, 65 - 73.
[4]
Fletcher, R. P., Fowler, P. J., Kitchenside, P., and Albertin, U., 2005, Suppressing artifacts in prestack reverse time migration: 75th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 2049 - 2051.
[5]
Fowler, P. J.., Du, X., and Fletcher, R. P., 2010, Coupled equations for reverse time migration in transversely isotropic media: Geophysics, 75(1), 11 - 22.
[6]
Gazdag, J., and Carrizo,E., 1986, On reverse-time migration: Geophysical Prospecting, 34(6), 822 - 832.
[7]
Guan, H., Li, Z., Wang, B., and Kim, Y., 2008, A multi-step approach for efficient reverse-time migration: 78th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 2341 - 2345.
[8]
Guitton, A., Kaelin, B., and Biondi, B., 2007, Least-squares attenuation of reverse-time-migration artifacts: Geophysics, 72(1), 519 - 523.
[9]
Haney, M. M., Bartel, L. C., Aldridge, D. F., and Symons, N. P., 2005, Insight into the output of reverse-time migration. What do amplitudes mean?: 75th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 1950 - 1953.
[10]
Hestholm, S, 2003, Elastic wave modeling with free surfaces: Stability of long simulations: Geophysics, 68(1), 314 - 321.
[11]
Hestholm, S., and Ruud, B., 1994, 2D finite-difference elastic wave modeling including surface topography: Geophysics Prospecting, 42(5), 371 - 390.
[12]
Hayashi, K., and Burns, D. B., 1999, Variable grid finite-difference modeling including surface topography: 69th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 528 - 531.
[13]
Nielsen, P., and Skovgaard, O., 1994, Using the pseudo spectral technique on curved grids for 2D acoustic forward modeling: Geophysical Prospecting, 42(3), 321 - 342.
[14]
Valenciano, A., and Biondi, B., 2003, 2D deconvolution imaging condition for shot-profile migration: 73th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 2431 - 2433.
[15]
Vigh, D., and Starr, E. W., 2006, Comparisons of shot-profile vs. plane-wave reverse time migration: 76th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 2358 - 2361.
[16]
Wang, X. C., Xia, C. L., and Liu, X. W., 2010, Downward and upward continuation of 2-D seismic data to eliminate ocean bottom topography’s effect: Applied Geophysics, 7(2), 149 - 157.
[17]
Whitmore, N. D., 1982, Research workshop 4-migration: Fundamental issues and future developments: 52nd Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 519 - 520.
[18]
Xue, D. C., and Wang, S. X., 2008, Wave-equation finite-element prestack reverse-time migration: Oil Geophysical Prospecting, 43(1), 17 - 21.
[19]
Xu, Y., 2008, Prestack reverse-time migration by the grid method: Progress in Geophysics, 23(3), 839 - 845.
[20]
Zhang, Y., Sun, J., and Gray, S., 2007, Reverse-time migration: Amplitude and implementation issues: 77th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 2145 - 2148.
[21]
Zhang, Y., and Zhang, G. Q., 2009, One-step extrapolation method for reverse time migration: Geophysics, 74(4), 29 - 33.
2010, Vol. 7 
