Methods for wave equation prestack depth migration and numerical experiments

Science China Mathematics - Tập 47 - Trang 111-120 - 2004
Guanquan Zhang1, Wensheng Zhang1
1Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, China

Tóm tắt

In this paper the methods of wave theory based prestack depth migration and their implementation are studied. Using the splitting of wave operator, the wavefield extrapolation equations are deduced and the numerical schemes are presented. The numerical tests for SEG/EAEG model with MPI are performed on the PC-cluster. The numerical results show that the methods of single-shot (common-shot) migration and synthesized-shot migration are of practical values and can be applied to field data processing of 3D prestack depth migration.

Tài liệu tham khảo

Schneider, W. A., Integral formmulation for migration in two-dimensions and three-dimensions, Geophysics, 1978, 43: 49–76. Claerbout, J. F., Imaging the Earth’s Interior, Blackwell: Scientific Publications, 1976. Ma Zaitian, High-order finite-difference migration, Oil Geophysical Prospecting, 1982, 17: 6–15. Ma Zaitian, Seismic Imaging: Finite-Difference Migration, Beijing: Oil Industry Publisher, 1989. Zhang Guanquan, Steep dips migration by using lower-order equations, Acta Geophysical Sinica, 1986, 29: 273–282. Zhang Guanquan, A new algorithm for finite-difference migration of steep dips, Geophysics, 1988, 53: 167–175. Stolt, R. H., Migration by Fourier transform, Geophysics, 1978, 43: 23–48. Gazdag, J., Wave equation migration with the phase-shift method, Geophysics, 1978, 73: 1342–1351. Gazdag, J., Sguazzero, P., Migration of seismic date by phase shift plus interpolation, Geophysics, 1984, 64: 1524–1534. Stoffa, P. L., Forkema, J. T., de Luna Preire, R. M. et al., Split-step Fourier migration, Geophysics, 1990, 55: 410–421. Ristow, D., Ruhl, T., Fourier finite-difference migration, Geophysics, 1995, 59: 1882–1893. Zhang Wensheng, Zhang Guanquan, Hao Xianjun, Hybrid depth migration and its absorbing boundary conditions, Geophysical Prospecting Petroleum, 1999, 38: 1–7. Zhang Wensheng, Zhang Guanquan, Song Haibin, Prestack depth migraton by hybrid method with high precision and its parallel implementation, Chinese Journal Geophysics, 2001, 44: 542–550. Paper Collection of Reflection Seismology (ed. Department of Marine Geology and Geophysics, Tongji University), Shanghai: Tongji University Press, 2000. Zhang Guanquan, Coupled equations of wave equation for upgoing wave and downgoing wave, Acta Applied Maths., 1993, 16: 251–263. Zhang Guanquan, High order approximation of one-way wave equations, J. of Comp. Math., 1985, 3: 90–97. Zhang Yu, Zhang Guanquan, Norman Bleistein, True amplitude wave equation migration arising from true amplitude one-way wave equations, Inverse Problem, 2003, 19: 1113–1139. Zhang Guanquan, Hou Weijian, Factorization method for 3D poststack finite difference migration, Chinese J. Geophysics (Acta Geophysica Sinica), 1996, 39: 382–391. Zhang Guanquan, Zhang Yu, Zhou Hongbo, Helical finite-difference schemes for 3D depth migration, USA, 70th Ann. Internat. Mtg: Soc. of Expl. Geophys., Expanded Abstracts, 2000, 862–865. Zhang Guanquan, Shan Guojian, Helical scheme for 2D prestack migration based on double-square-root equation, 71th Ann. Internat. Mtg: Soc. of Expl. Geophys., Expanded Abstracts, 1057–1060, 2001. Zhang Guanquan, Shan Guojian, Zhang Wensheng, 3D poststack depth migration in helical coordinate system, SEG/SPG international Symposium On Reservoir Geophysics, Abstract, 2000, 158–166. Louis, A. R., Dennis, C. G., Curtis, C. O. et al., Phase encoding of shot records in prestack migration, Geophysics, 2000, 65(2): 426–436. Zhang Wensheng, Zhang Guanquan, Wu Fei, 3D prestack depth migration with single-shot and synthesized-shot records, SEG International Exposition and Seventy-Second Annual Meeting, Salt Lake City, Utah, USA, October 6–11, 2002, Expanded Abstracts, 2002. Zhang Wensheng, Zhang Guanquan, Factorization prestack depth migration by wavefield synthesizing, SEG International Exposition and Seventy-Third Annual Meeting, Dallas, Texas, USA, October 26–31, 2003, Expanded Abstracts, 2003.