1887
Volume 13 Number 5
  • ISSN: 1569-4445
  • E-ISSN: 1873-0604

Abstract

ABSTRACT

A hybrid approach for seismic travel‐time tomography is proposed in the case of elliptical anisotropic media. A sequential scheme is presented that combines simulating annealing with linearized least squares inversion. At first, simulated annealing is implemented to obtain a velocity model that can be used as initial guess for successive linearized least squares inversion; in the meantime, linear travel‐time interpolation is diffusely used to trace ray paths and calculate travel times. The procedure was tested both for a synthetic model and a field study. Since the field study come from a previous study, uniquely solved by linearized least squares inversion without suggestions for initial guess of the velocity model, we were interested in evaluating upgrades from the hybrid approach compared with solutions coming from a single technique. We found the hybrid approach able to individuate a better velocity model with respect to a “single technique” approach, but as the improvement was slight despite the big amount of computation time needed by simulated annealing, we had also an indirect validation of the previous results of the field study.

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2015-05-01
2024-04-26
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References

  1. AsakawaE. and KawanakaT.1993. Seismic ray tracing using linear travel time interpolation. Geophysical Prospecting41, 99–111.
    [Google Scholar]
  2. BernabiniM. and CardarelliE.1997. Variable damping factors in traveltime tomography. Journal of Applied Geophysics38, 131–141.
    [Google Scholar]
  3. CardarelliE. and de NardisR.2001. Seismic refraction, isotropic and anisotropic seismic tomography on an ancient monument. Geophysical Prospecting49, 228–240.
    [Google Scholar]
  4. CardarelliE., GodioA., MorelliG., SambuelliL., SantaratoG. and SoccoL.V.2002. Integrated geophysical surveys to investigate the Scarsella vault of St. John’s Baptistery in Florence. The Leading Edge21, 467–470.
    [Google Scholar]
  5. CardarelliE. and CerretoA.2002. Ray tracing in elliptical anisotropic media using the linear travel time interpolation (LTI) method applied to seismic traveltime tomography. Geophysical Prospecting52, 55–72.
    [Google Scholar]
  6. CardarelliE., CercatoM., CerretoA. and Di FilippoG.2010. Electrical resistivity and seismic refraction tomography to detect buried cavities. Geophysical Prospecting58, 685–695.
    [Google Scholar]
  7. CarrionP., CostaJ., PinheiroJ.E.F. and SchoenbergM.1992. Cross borehole tomography in anisotropic media. Geophysics57, 1194–1198.
    [Google Scholar]
  8. ČervenýV. and SoaresE.P.1992. Fresnel volume ray tracing. Geophysics57(7), 902–915.
    [Google Scholar]
  9. GalassiM., DaviesJ., TheilerJ., GoughB., JungmanG., AlkenP.et al.2009. GNU Scientific Library Reference Manual, 3rd edn. Network Theory Ltd., Bristol, U.K.
    [Google Scholar]
  10. GallardoL.A. and MieuM.A.2004. Joint two dimensional DC resistivity and seismic travel time inversion with cross‐gradients constraintsJournal of Geophysical Research109, 1–11.
    [Google Scholar]
  11. GokturklerG.2011. A hybrid approach for tomographic inversion of crosshole seismic first‐arrival times. Journal of Geophysics and Engineering8, 99–108.
    [Google Scholar]
  12. GrandjeanG.2006. Imaging subsurface objects by seismic P‐wave tomography: numerical and experimental validation. Near Surface Geophysics4, 279–287.
    [Google Scholar]
  13. GrandjeanG. and LeparouxD.2004. The potential of seismic methods for detecting cavities and buried objects: experimentation at a test site. Journal of Applied Geophysics56, 93–106.
    [Google Scholar]
  14. GreenhalghS.A., BingZ. and GreenA.2006. Solutions, algorithms and inter‐relations for local minimization search geophysical inversion. Journal of Geophysics and Engineering3, 101–113.
    [Google Scholar]
  15. LanzE.MaurerH.R., GreenA.G. and AsorgeJ.1998. Refraction tomography over a buried waste disposal site. Geophysics63(4), 1414–1433.
    [Google Scholar]
  16. LiX.G. and UlrychT.J.1993. LTI formulations and application to curved wave fronts. Journal of Seismic Exploration2, 239–246.
    [Google Scholar]
  17. MendesM.2009. A hybrid fast algorithm for first arrivals tomography. Geophysical Prospecting57, 803–809.
    [Google Scholar]
  18. MichelenaR.J., MuirF. and HarrisJ.M.1993. Anisotropic travel time tomography Geophysical Prospecting41, 381–412.
    [Google Scholar]
  19. PressH.W., TeukolskyS.A., VetterlingW.T. and FlanneryB.P.1992. Numerical Recipes in Fortran,2nd edn, pp. 63–82. Cambridge University Press.
    [Google Scholar]
  20. SambuelliL., BohmG., CapizziP., CardarelliE. and CosentinoP.2011. Comparison between GPR measurements and ultrasonic tomography with different inversion algorithms: an application to the base of an ancient Egyptian sculpture. Journal of Geophysical Engineering8, S106–S116.
    [Google Scholar]
  21. PullammanappallilS.K. and LouieJ.N.1994. A generalized simulated‐annealing optimization for inversion of first‐arrival times. Bulletin of the Seismological Society of America84, 1397–409.
    [Google Scholar]
  22. PrattR.G., McGaugheyW.J. and ChapmanC.H.1993. Anisotropic velocity tomography: a case study in a near surface rock mass. Geophysics 12, 1748–1763.
  23. VidaleJ.1988. Finite‐difference calculation of traveltimes. Bullettin of the Seismological Society of America78, 20162–2076.
    [Google Scholar]
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