1887
Volume 37, Issue 1
  • ISSN: 0812-3985
  • E-ISSN: 1834-7533

Abstract

The full-waveform inversion algorithm using normalised seismic wavefields can avoid potential inversion errors due to source estimation required in conventional full-waveform inversion methods. In this paper, we have modified the inversion scheme to install a weighted smoothness constraint for better resolution, and to implement a staged approach using normalised wavefields in order of increasing frequency instead of inverting all frequency components simultaneously. The newly developed scheme is verified by using a simple two-dimensional fault model. One of the most significant improvements is based on introducing weights in model parameters, which can be derived from integrated sensitivities. The model-parameter weighting matrix is effective in selectively relaxing the smoothness constraint and in reducing artefacts in the reconstructed image. Simultaneous multiplefrequency inversion can almost be replicated by multiple singlefrequency inversions. In particular, consecutively ordered singlefrequency inversion, in which lower frequencies are used first, is useful for computation efficiency.

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/content/journals/10.1071/EG06086
2006-03-01
2026-01-17
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References

  1. Cerveny, V., and Soares, J.E.P., 1992, Fresnel volume ray tracing: Geophysics, 57, 902–915.
  2. Constable, S.C., Parker, R.L., and Constable, C.G., 1987, A practical algorithm for generating smooth models from electromagnetic sounding data: Geophysics, 52, 289–300.
  3. deGroot-Hedlin, C., and Constable, S., 1990, Occam’s inversion to generate smooth, two-dimensional models from magnetotelluric data: Geophysics, 55, 1613–1624.
  4. de Lugao, P., Portniaguaine, O., and Zhdanov, M.S., 1997, Fast and stable twodimensional inversion of magnetotelluric data: Journal of Geomagnetism and Geoelectricity, 49, 1437–1454.
  5. Frazer, L.N., Sun, X., and Wilkens, R.H., 1997, Inversion of sonic waveforms with unknown source and receiver functions: Geophysical Journal International, 129, 579–586.
  6. Frazer, L.N., and Sun, X., 1998, New objective functions for waveform inversion: Geophysics, 63, 213–222.
  7. Humphreys, E., and Clayton, R.W., 1988, Application of back-projection tomography to seismic traveltime problems: Journal of Geophysical Research, 93, 1073–1085.
  8. Huber, P.J., 1964, Robust estimation of a location parameter: Annals of Mathematical Statistics, 35, 73–101.
  9. Kim, H.J., Fujisaki, O., and Takeuchi, M., 1996, Two-dimensional resistivity inversion with robust estimation: Butsuri-Tansa, 49, 110–116.
  10. Kormendi, F., and Dietrich, M., 1991, Nonlinear waveform inversion of plane-wave seismograms in stratified elastic media: Geophysics, 56, 664–674.
  11. Lee, K.H., and Kim, H.J., 2003, Source-independent full-waveform inversion of seismic data: Geophysics, 68, 2010–2015.
  12. Lines, L.R., and Treitel, S., 1984, Tutorial: A review of least-squares inversion and its application to geophysical problems: Geophysical Prospecting, 32, 159–186.
  13. Minkoff, S.E., and Symes, W.W., 1997, Full waveform inversion of marine reflection data in the plane-wave domain: Geophysics, 62, 540–553.
  14. Nolet, G., 1985, Solving or resolving inadequate and noisy tomographic systems: Journal of Computational Physics, 61, 463–482.
  15. Parker, R.L., 1980, The inverse problem of electromagnetic induction: existence and construction of solutions based upon incomplete data: Journal of Geophysical Research, 85, 4421–4425.
  16. Parker, R.L., 1994, Geophysical Inverse Theory, Princeton University Press.
  17. Peterson, J.E., Paulson, B.N.P., and McEvilly, T.V., 1985, Applications of algebraic reconstruction techniques to crosshole seismic data: Geophysics, 50, 1566–1580.
  18. Plessix, R.-E., and Bork, J., 1998, A full waveform inversion example in VTI media: 68th Annual International Meeting, Society of Exploration Geophysicists, Expanded Abstracts, 1562–1565.
  19. Pratt, R.G., 1999, Seismic waveform inversion in frequency domain, Part 1: Theory and verification in physical scale model: Geophysics, 64, 888–901.
  20. Pratt, R.G., and Shipp, R.M., 1999, Seismic waveform inversion in frequency domain, Part 2: Fault delineation in sediments using crosshole data: Geophysics, 64, 902–914.
  21. Sasaki, Y., 1989, Two-dimensional joint inversion of magnetotelluric and dipoledipole resistivity data: Geophysics, 54, 254–262.
  22. Scales, J.A., Gersztenkorn, A., and Treitel, S., 1988, Fast solution of large sparse, linear systems: Application to seismic traveltime tomography: Journal of Computational Physics, 75, 314–333.
  23. Sen, M.K., and Stoffa, P.L., 1991, Nonlinear one-dimensional seismic waveform inversion using simulated annealing: Geophysics, 56, 1624–1638.
  24. Sheng, J., and Schuster, G.T., 2000, Finite-frequency resolution limits of traveltime tomography for smoothly varying velocity models: 70th Annual International Meeting, Society of Exploration Geophysicists, Expanded Abstracts,, 2134–2137.
  25. Song, Z.-M., Williamson, P.R., and Pratt, R.G., 1995, Frequency-domain acoustic wave modeling and inversion of crosshole data: Part II-inversion method, synthetic experiments and real-data results: Geophysics, 60, 796–809.
  26. Tikhonov, A.N., and Arsenin, V.Y., 1977, Solutions to Ill-Posed Problems, John Wiley and Sons, Inc.
  27. Torres-Verdin, C., Druskin, V.D., Fang, S., Knizhnerman, L.A., and Malinverno, A., 2000, A dual-grid nonlinear inversion technique with applications to the interpretation of dc resistivity data: Geophysics, 65, 1733–1745.
  28. Vasco, D.W., 1991, Bounding seismic velocities using a tomographic method: Geophysics, 56, 472–482.
  29. Vasco, D.W., Peterson, Jr., J.E., and Majer, E.L., 1995, Beyond ray tomography: Wavepaths and Fresnel volumes: Geophysics, 60, 1790–1804.
  30. Williamson, P.R., 1991, A guide to the limits of resolution imposed by scattering in ray tomography: Geophysics, 56, 202–207.
  31. Yi, M.-J., Kim, J.-H., Song, Y., Cho, S.-J., Chung, S.-H., and Suh, J.-H., 2001, Threedimensional imaging of subsurface structures using resistivity data: Geophysical Prospecting, 49, 483–497.
  32. Yokota, T., and Matsushima, J., 2004, Seismic waveform tomography in the frequency-space domain: selection of the optimal temporal frequency for inversion: Exploration Geophysics, 35, 19–24.
  33. Zhou, B., and Greenhalgh, S.A., 2003, Crosshole seismic inversion with normalized full-waveform amplitude data: Geophysics, 68, 1320–1330.
  34. Zhou, C., Schuster, G.T., Hassanzadeh, S., and Harris, J.M, 1997, Elastic wave equation traveltime and wavefield inversion of crosswell data: Geophysics, 62, 853–868.
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  • Article Type: Research Article
Keyword(s): crosshole; full waveform; normalised wavefield; sensitivities; tomography

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