Citation: | Zhi-fu ZHANG, Chun-yuan LIU, Chun-tao ZHANG, Xiao-hong MENG. The Offset-Domain Prestack Depth Migration with Optimal Separable Approximation. Journal of Earth Science, 2007, 18(4): 350-356. |
The offset-domain prestack depth migration with optimal separable approximation, based on the double square root equation, is used to image complex media with large and rapid velocity variations. The method downward continues the source and the receiver wavefields simultaneously. The mixed domain algorithm with forward Fourier and inverse Fourier transform is used to construct the double square root equation wavefield extrapolation operator. This operator separates variables in the wave number domain and variables in the space domain. The phase operation is implemented in the wave number domain, whereas the time delay for lateral velocity variation is corrected in the space domain. The migration algorithm is efficient since the seismic data are not computed shot by shot. The data set test of the Marmousi model indicates that the offset-domain migration provides a satisfied seismic migration section on which complex geologic structures are imaged in media with large and rapid lateral velocity variations.
Biondi, B., Palacharla, G., 1996. 3-D Prestack Migration of Common-Azimuth Data. Geophysics, 61(6): 1822-1832 doi: 10.1190/1.1444098 |
Chen, J. B., Liu, H., 2004. Optimization Approximation with Separable Variables for the One-Way Wave Operator. Geophysical Research Letters, 31(6): L06613 |
Chen, J. B., Liu, H., Zhang, Z. F., 2007. A Separable Kernel Decomposition Method for Approximating the DSR Continuation Operator. Geophysics, 72(1): S25-S31 doi: 10.1190/1.2399368 |
Claerbout, J. F., 1985. Imaging the Earth's Interior. Blackwell Scientific Publication, Oxford |
Gazdag, J., 1978. Wave Equation Migration with the Phase-Shift Method. Geophysics, 43(7): 1342-1351 doi: 10.1190/1.1440899 |
Jin, S. W., Mosher, C. C., Wu, R. S., 2002. Offset-Domain Pseudoscreen Prestack Depth Migration. Geophysics, 67(6): 1895-1902 doi: 10.1190/1.1527089 |
Le Rousseau, J. H., De Hoop, M. V., 2001. Modeling and Imaging with the Scalar Generalized-Screen Algorithms in Isotropic Media. Geophysics, 66(5): 1551-1568 doi: 10.1190/1.1487101 |
Liu, L. N., Zhang, J. F., 2006. 3D Wavefield Extrapolation with Optimum Split-Step Fourier Method. Geophysics, 71(3): T95-T108 doi: 10.1190/1.2197493 |
Popovici, A. M., 1996. Prestacking Migration by Split-Step DSR. Geophysics, 61(5): 1412-1416 doi: 10.1190/1.1444065 |
Ristow, D., Ruhl, T., 1994. Fourier Finite-Difference Migration. Geophysics, 59(12): 1882-1893 doi: 10.1190/1.1443575 |
Ristow, D., Ruhl, T., 1997. 3-D Implicit Finite-Difference Migration by Multiway Splitting. Geophysics, 62(2): 554-567 doi: 10.1190/1.1444165 |
Stoffa, P. L., Fokkema, J. T., Freire, R. M., et al., 1990. Split-Step Fourier Migration. Geophysics, 55(4): 410-421 doi: 10.1190/1.1442850 |
Song, J., 2001. The Optimization Expression of Functions and Manifolds in High Dimensions by Ones in Low Dimensions. Chin. Sci. Bull., 46: 977-984 (in Chinese) |
Zhang, G. Q., Zhang, Y., Zhou, H. B., 2000. Helical Finite-Difference Schemes for 3-D Depth Migration. 70th Ann. Internat. Mtg. Geophys., Expanded Abstract, 19: 862-865 |
Zhang, Z. F., Liu, H., Chen, J. B., 2005. Implement of Optimal Separable Approximation in Seismic Migration. Chinese Journal of Geophysics, 48: 1422-1427 (in Chinese with English Abstract) |