A study of perfectly matched layers for joint multi-component reverse-time migration
Du Qi-Zhen1, Sun Rui-Yan1, Qin Tong2, Zhu Yi-Tong1, and Bi Li-Fei3
1. School of Earth Resource and Information, China University of Petroleum, Dongying 257061, China.
2. CNOOC Ltd-TianJin Bohai Oilfield E&P Research Institute, Tianjin 300452, China.
3. Geophysical Research Institute of Shengli Oilfield Branch Co., Dongying 257022, China.
Abstract Reverse-time migration in finite space requires effective boundary processing technology to eliminate the artificial truncation boundary effect in the migration result. On the basis of the elastic velocity-stress equations in vertical transversely isotropic media and the idea of the conventional split perfectly matched layer (PML), the PML wave equations in reverse-time migration are derived in this paper and then the high order staggered grid discrete schemes are subsequently given. Aiming at the “reflections” from the boundary to the computational domain, as well as the effect of seismic event’s abrupt changes at the two ends of the seismic array, the PML arrangement in reverse-time migration is given. The synthetic and real elastic, prestack, multi-component, reverse-time depth migration results demonstrate that this method has much better absorbing effects than other methods and the joint migration produces good imaging results.
This work is supported by the 863 Program (Grant No. 2006AA06Z202), Open Fund of the Key Laboratory of Geophysical Exploration of CNPC (Grant No. GPKL0802), CNPC Young Innovation Fund (Grant No. 05E7028), and the Program for New Century Excellent Talents in University (Grant No. NCET-07-0845).
Cite this article:
DU Qi-Zhen,SUN Rui-Yan,QIN Tong et al. A study of perfectly matched layers for joint multi-component reverse-time migration[J]. APPLIED GEOPHYSICS, 2010, 7(2): 166-173.
[1]
Bérenger, J. P., 1994, A perfectly matched layer for absorption of electromagnetic waves: Journal of Computational Physics, 114, 185 - 200.
[2]
Chang, W. F., and McMechan, G. A., 1986, Reverse-time migration of offset vertical seismic profiling data using the excitation-time imaging condition: Geophysics, 51(1), 67 - 84.
[3]
Chew, W. C., and Liu, Q. H., 1996, Perfectly matched layers for elastodynamics: A new absorbing boundary condition: J. Comput. Acoust. 4, 72 - 79.
[4]
Collino, F., and Tsogka, C., 2001, Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media: Geophysics, 66(1), 294 - 30.
[5]
Du, Q. Z., and Qin, T., 2009, Multicomponent prestack reverse-time migration of elastic waves in transverse isotropic medium: Chinese Journal of Geophysics (In Chinese), 52(3), 801 - 807.
[6]
Gray, S. H., Etgen, J., Dellinger, J.,and Whitmore, D.,2001, Seismic migration problems and solutions: Geophysics, 66(5), 1622 - 1640.
[7]
Loewenthal, D., and Hu, L. Z., 1991, Two methods for computing the imaging condition for common-shot prestack migration: Geophysics, 56(3), 378 - 381.
[8]
Wang, S. D., 2003, Study on Perfect Matched Layer absorbing boundary of acoustic wave equation: Oil Geophysical Prospecting (In Chinese), 38(1), 31 - 34.
[9]
Yoon, K., Marfurt, K. J., and Starr, W., 2004, Challenges in reverse-time migration: SEG Int’l Exposition and 74th Annual Meeting, 1057 - 1060.
[10]
Zhao, H. B., Wang, X. M., Wang, D., and Chen, H., 2007, Applications of the boundary absorption using a perfectly matched layer for elastic wave simulation in poroelastic medi: Chinese Journal of Geophysics, 50(2), 581 - 591.
2010, Vol. 7 
