Seismic waveform tomography in the frequency-space domain: selection of the optimal temporal frequency for inversion

  • Yokota Toshiyuki (National Institute of Advanced Industrial Science and Technology) ;
  • Matsushima Jun (Japan National Oil Corp., Technology Research Center)
  • Published : 2004.02.01

Abstract

Frequency-space domain full-wave tomography is a promising technique for delineating detailed subsurface structure with high resolution. However, this method requires criteria for the selection of a set of optimal temporal frequency components, to achieve stability in the sequence of inversion processes together with computational efficiency. We propose a method of selecting optimal temporal frequencies, based on wavenumber continuity. The proposed method is tested numerically and is shown to be able to select an optimal set of frequency components that are sufficient to image the anomalies.

References

  1. Devaney, AJ., 1984, Geophysical diffraction tomography: IEEE Transactions on Geoscience and Remote Sensing, GE-22, 3-13
  2. Furumura, T, Kennett, B.L.N., and Takanaka, H., 1998, Parallel 3-D pseudospectral simulation of seismic wave propagation: Geophysics, 63, 279-288
  3. Harris, J.M., Nolen-Hoeksema, R.C., Langan, R.T, Van Schaack, M., Lazaratos, S.K., and Rector III, J.W., 1995, High-resolution crosswell imaging of a west Texas carbonate reservoir Part 1 - Project summary and interpretation: Geophysics, 60, 667-681
  4. Lazaiatos, S.K., and Marion, B. P., 1997, Crosswell seismic imaging of reservoir changes caused by C02 injection: Leading Edge, 16,1300-1306
  5. Mathisen, M.E., Cunningham, P., Shaw, J., Vassilou, A.A., Justice, J.H., and Guinzy, NJ., 1995, Crosswell seismic radial survey tomograms and the 3-D interpretation of a heavy oil steamflood: Geophysics, 60, 651-659
  6. Murayama.Y., Ashida, Y., and Sassa, K., 1991, Simulation of seismic disturbances by use of the Fourier transform: Theory and calculation method: Butsuri-Tansa (Geophys. Explor.), 44, 18-26 (in Japanese with English abstract)
  7. Pratt, R.G., and Worthington, M.H., 1990, Inverse theory applied to multi-source cross-hole tomography. Part 1: Acoustic wave-equation method: GeophysicalProspecting, 38, 287-310
  8. Piatt, R.G., Shin, C., and Hicks, G.J., 1998, Oauss-Newton and full Newton method in fiequency-space seismic waveform inversion: Geophys. J. Int., 133, 341-362
  9. Pratt, R.G., 1999, Seismic wavefom inversion in the frequency domain, Pait 1: Theory and verification in a physical scale model: Geophysics, 64, 888-901
  10. Shin, C., and Sohn, H., 1998, A frequency-space 2-D scalar wave extrapolator using extended 25-point finite-diffeience operator: Geophysics, 63, 289-296
  11. Shnister, G.T, 1995, Fracture resolution limits for crosswell migration and traveltime tomography: Theory: Proceedings of the 3rd SEGJ/SEG International Symposium, 86-93
  12. Tarantola, A., 1984, Inversion of seismic reflection data in the acoustic approximation: Geophysics, 49, 1259-1266
  13. Tarantola, A., 1986, A strategy for nonlinear elastic inversion of seismic reflection data: Geophysics, 51, 1893-1903
  14. Williamson, P.R., 1991, A Guide to the limits of resolution imposed by scattering in ray tomography: Geophysics, 56, 202-207
  15. Williamson, P.R., and Worthington, M.H., 1993, Resolution limits in ray tomography due to wave behavior: Numehcal experiments: Geophysics, 58, 727-735
  16. Wong, J., 2000, Crosshole seismic imaging for sulfide orebody delineation near Sudbury, Ontario, Canada: Geophysics. 65, 1900-1907
  17. Wu, R.S., and Toksoz, M.N., 1987, DiHraction tomography and multi-source holography, applied to seismic imaging: Geophysics, 52,11-25