Full-wave-equation depth extrapolation for migration

Geophysics

Volumn 74, Issue 6, 2009, Pages

  Sandberg, Kristian ^a   Beylkin, Gregory ^b  

^a GeoEnergy Inc   (United States)

^b UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC WAVE REFLECTION; EXTRAPOLATION; FAST FOURIER TRANSFORMS;

DOWNWARD CONTINUATION; EVANESCENT WAVE MODES; EXPLICIT CONSTRUCTIONS; MATHEMATICAL FORMULATION; MATRIX MATRIX MULTIPLICATIONS; MIGRATION ALGORITHMS; POSITIVE EIGENVALUES; TRADITIONAL APPROACHES;

ITERATIVE METHODS;

ALGORITHM; EIGENVALUE; FILTER; FOURIER TRANSFORM; NUMERICAL METHOD; WAVE EQUATION; WAVE GENERATION; WAVE PROPAGATION;

EID: 84861189051     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.3202535     Document Type: Article

References (24)

1. Aminzadeh, F. Burkhard, N. Long, J. Kunz, T. Duclos, P., 1996, Three-dimensional SEG/EAGE models - An update: The Leading Edge, 15, 131-134.lee, LEEDFF, 1070-485X, 10.1190/1.1437283
2. Auslander, L. Tsao, A., 1992, On parallelizable eigensolvers: Advances in Applied Mathematics, 13, 253-261.9z4, ZZZZZZ, 0196-8858, 10.1016/0196-8858(92)90011-K
3. Baysal, E. Kosloff, D.D. Sherwood, J.W.C., 1983, Reverse time migration: Geophysics, 48, 1514-1524.gpy, GPYSA7, 0016-8033, 10.1190/1.1441434
4. Beylkin, G. Coult, N. Mohlenkamp, M.J., 1999, Fast spectral projection algorithms for density-matrix computations: Journal of Computational Physics, 152, 32-54.jct, JCTPAH, 0021-9991, 10.1006/jcph.1999.6215
5. Beylkin, G. Sandberg, K., 2005, Wave propagation using bases for bandlimited functions: Wave Motion, 41, 263-291.wvm, WAMOD9, 0165-2125, 10.1016/j.wavemoti.2004.05.008
6. Biondi, B., 2002, Stable wide-angle Fourier finite-difference downward extrapolation of 3D wavefields: Geophysics, 67, 872-882.gpy, GPYSA7, 0016-8033, 10.1190/1.1484530
7. 2006, 3D seismic imaging: SEG.
8. Biondi, B. Palacharla, G., 1996, 3-D prestack migration of common-azimuth data: Geophysics, 61, 1822-1832.gpy, GPYSA7, 0016-8033, 10.1190/1.1444098
9. Cerjan, C. Kosloff, D. Kosloff, R. Reshef, M., 1985, A nonreflecting boundary condition for discrete acoustic and elastic wave equation: Geophysics, 50, 705-708.gpy, GPYSA7, 0016-8033, 10.1190/1.1441945
10. Claerbout, J.F., 1985, Imaging the earth's interior: Blackwell Scientific Publications, Inc.
11. Coult, N. Sandberg, K. Beylkin, G. Vassiliou, A., 2006, Acoustic and elastic modeling using bases for bandlimited functions: 76th Annual International Meeting, SEG, Expanded Abstracts, 2241-2244.
12. Grimbergen, J. Dessing, F. Wapenaar, K., 1998, Modal expansion of one-way operators in laterally varying media: Geophysics, 63, 995-1005.gpy, GPYSA7, 0016-8033, 10.1190/1.1444410
13. Jeannot, J., 1988, Full prestack versus shot record migration: Practical aspects: 58th Annual International Meeting, SEG, Expanded Abstracts, 966-968.
14. Kenney, C. Laub, A., 1995, The matrix sign function: IEEE Transactions on Automatic Control, 40, 1330-1348.itk, IETAA9, 0018-9286, 10.1109/9.402226
15. Kessinger, W., 1992, Extended split-step Fourier migration: 62nd Annual International Meeting, SEG, Expanded Abstracts, 917-920.
16. Kosloff, D. Baysal, E., 1983, Migration with the full acoustic equation: Geophysics, 48, 677-687.gpy, GPYSA7, 0016-8033, 10.1190/1.1441498
17. Natterer, F., 1997a, An algorithm for 3D ultrasound tomography, , in G. Chavent and P. C. Sabatier, eds., Inverse problems of wave propagation and diffraction: Springer, 216-225.
18. 1997b, An initial value approach to the inverse Helmholtz problem at fixed frequency, , in H. W. Engl, A. K. Louis, and W. Rundell, eds., Inverse problems in medical imaging and nondestructive testing: Springer, 159-167.
19. Natterer, F. Wubbeling, F., 1995, A propagation-backpropagation method for ultrasound tomography: Inverse Problems, 11, 1225-1232.inp, INPEEY, 0266-5611, 10.1088/0266-5611/11/6/007
20. 2005, Marching schemes for inverse acoustic scattering problems: Numerische Mathematik, 100, 697-710.num, NUMMA7, 0029-599X, 10.1007/s00211-004-0580-3
21. Sava, P. Hill, S., 2009, Overview and classification of wavefield seismic imaging methods: The Leading Edge, 28, 170-183.lee, LEEDFF, 1070-485X, 10.1190/1.3086052
22. Stoffa, P.L. Sen, M.K. Seifoullaev, R.K. Pestana, R.C. Fokkema, J.T., 2006, Plane-wave depth migration: Geophysics, 71, no. 6, S261-S272.gpy, GPYSA7, 0016-8033, 10.1190/1.2357832
23. Stolt, R.H., 1978, Migration by Fourier transform: Geophysics, 43, 23-48.gpy, GPYSA7, 0016-8033, 10.1190/1.1440826
24. Wapenaar, K. Grimbergen, J., 1998, A discussion on stability analysis of wave field depth extrapolation: 68th Annual International Meeting, SEG, Expanded Abstracts, 1716-1719.