Antileakage Fourier transform for seismic data regularization

Geophysics

Volumn 70, Issue 4, 2005, Pages

  Xu, Sheng ^a   Zhang, Yu ^a   Pham, Don ^a   Lambaré, Gilles ^b  

^a CGG   (France)

^b PSL RESEARCH UNIVERSITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FOURIER TRANSFORMS; GEOLOGY; INTERPOLATION; RANDOM PROCESSES;

ANTILEAKAGE FOURIER TRANSFORM; FOURIER THEORY; SEISMIC DATA REGULARIZATION;

SEISMOLOGY;

DATA PROCESSING; SEISMIC DATA;

EID: 27344435933     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.1993713     Document Type: Article

References (34)

1. Abma, R., and J. F. Claerbout, 1995, Lateral prediction for noise attenuation by t-x, and f-x techniques: Geophysics, 60, 1887-1896.
2. Bagaini, C., and U. Spagnolini, 1996, 2-D continuation operators and their applications: Geophysics, 61, 1846-1858.
3. Beylkin, G., 1995, On fast Fourier transform of functions with singularities: Applied and Computational Harmonic Analysis, 2, 363-382.
4. Bleistein, N., and H. Jaramillo, 2000, A platform for Kirchhoff data mapping in scalar models of data acquisition: Geophysical Prospecting, 48, 135-162.
5. Bracewell, R., 1965, The Fourier transform and its applications: McGraw Hill.
6. Canning, A., and G. H. F. Gardner, 1996, Regularizing 3-D data sets with DMO: Geophysics, 61, 1103-1114.
7. Chemingui, N., and B. Biondi, 2002, Seismic data reconstruction by inversion to common offset: Geophysics, 67, 1575-1585.
8. Claerbout, J. F., 1971, Toward a unified theory of reflector mapping: Geophysics, 36, 467-481.
9. Cooley, J. W., and J. W. Tukey, 1965, An algorithm for the machine computation of complex Fourier series: Mathematics of Computation, 19, 297-301.
10. Crawley, S., 2000, Seismic trace interpolation with a nonstationary prediction error filter: Ph.D. dissertation, Stanford University.
11. Duijndam, A. J. W., and M. A. Schonewille, 1999, Nonuniform fast Fourier transforms: Geophysics, 64, 539-551.
12. Duijndam, A. J. W., M. A. Schonewille, and C. O. H. Hindriks, 1999, Reconstruction of band-limited signals, irregularly sampled along one spatial direction: Geophysics, 64, 524-538.
13. Dutt, A., and V. Rokhlin, 1993, Fast Fourier transform for nonequispaced data: SIAM Journal of Scientific Computing, 14, 1368-1393.
14. Gray, D. F., and K. Desikachary, 1973, A new approach to periodogram analyses: Astrophysical Journal, 181, 523-530.
15. Hindriks, C. O. H., and A. J. W. Duijndam, 2000, Reconstruction of 3D seismic signals irregularly sampled along two spatial coordinates: Geophysics, 65, 253-263.
16. Koek, E. A., and L. Ongkiehong, 1997, Regularization of 3-D seismic data in two steps: 67th Annual International Meeting, SEG, Expanded Abstracts, 1171-1172.
17. Liu, Q. H., and X. Y. Tang, 1998, An iterative algorithm for nonuniform inverse fast Fourier transform (NU-IFFT): Electronics Letters, 34, 1913-1914.
18. Lomb, N. R., 1976, Least squares frequency analysis of unequally spaced data: Astrophysics and Space Science, 39, 447-462.
19. Mazzucchelli, O., F. Rocca, U. Spagnolini, and S. Spitz, 1998, Wavefield interpolation - Continuation or prediction filter techniques? 60th Annual Meeting, European Association of Geoscientists and Engineers, Expanded Abstracts, session 02-51.
20. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, 1993, Numerical recipes in Fortran: The art of scientific computing, 2nd ed.: Cambridge University Press.
21. Sacchi, M. D., and T. J. Ulrych, 1995, High-resolution velocity gathers and offset space reconstruction: Geophysics, 60, 1169-1177.
22. Schonewille, M. A., 2000, Fourier reconstruction of irregularly sampled seismic data: Ph.D. dissertation, Delft University of Technology.
23. Shannon, C. E., 1949, Communication in the presence of noise: Proceedings of the IEEE, 86, 447-457.
24. Spitz, S., 1991, Seismic trace interpolation in the F-X domain: Geophysics, 56, 785-794.
25. Stolt, R. H., 2002, Seismic data mapping and reconstruction: Geophysics, 67, 890-908.
26. Thévenaz, P., T. Blu, and M. Unser, 2000, Image interpolation and resampling, in I. N. Bankman, ed., Handbook of medical imaging, processing and analysis: Academic Press, 393-420.
27. Unser, M., 2000, Sampling - 50 years after Shannon: Proceedings of the IEEE, 88, 569-587.
28. Verschuur, D. J., A. J. Berkhout, and C. P. A. Wapenaar, 1992, Adaptive surface-related multiple elimination: Geophysics, 57, 1166-1177.
29. Versprille, K. J., 1975, Computer-aided design applications of the rational B-spline approximation form: Ph.D. dissertation, Syracuse University.
30. Wang, Y., 2003, Sparseness-constrained least squares inversion: Application to seismic wave reconstruction: Geophysics, 68, 1633-1638.
31. Weglein, A. B., F. A. Gasparotto, P. M. Carvalho, and R. H. Stolt, 1997, An inverse-scattering series method for attenuating multiples in seismic reflection data: Geophysics, 62, 1975-1989.
32. Zhang, Y., G. Zhang, and N. Bleistein, 2003, True amplitude wave equation migration arising from true amplitude one-way equations: Inversion Problems, 19, 1113-1138.
33. Zwartjes, P., and C. O. H. Hindriks, 2001, Sparse inversion in reconstruction of irregularly sampled 3D data: Delphi Acquisition and Preprocessing, 5, 95-107.
34. Zwartjes, P., and D. Gisolf, 2002, Fourier reconstruction: Data weighting and comparison with other methods: Delphi Acquisition and Preprocessing, 5, 25-46.