1887
Volume 47 Number 6
  • E-ISSN: 1365-2478

Abstract

A new algorithm for tomographic inversion of traveltimes of reflected and refracted seismic waves is developed. The inversion gives interface configurations and velocity distributions in layers. The important features of the algorithm are: (a) the inclusion of shot time delays in the list of unknown parameters; (b) the regularization is applied in such a way that the most probable model is characterized by the similarity of neighbouring interfaces. As the problem under consideration is non‐linear, several iterations are necessary in order to obtain the final model. In the case of a very inexact initial model, a ‘layer‐by‐layer’ inversion strategy is recommended as a first inversion step. The inversion program is supplied with a user interface, thanks to which one can: (a) pick interactively and identify seismic traveltimes; (b) build and edit depth/velocity models; and (c) display calculated traveltime curves and compare them with picked traveltimes as well as with the original seismic sections. The efficiency of the inversion software developed is illustrated by a numerical example and a field example in which shallow seismic data are considered. Application to wide‐aperture reflection/refraction profiling (WARRP) data is also possible.

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2001-12-24
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References

  1. BishopT.N., BubeK.P., CutlerR.T., LanganR.T., LoveP.L., ResnickR.T., SpindlerD.A., WyldH.W.1985. Tomographic determination of velocity and depth in laterally varying media. Geophysics50,903923.
    [Google Scholar]
  2. ČervenýV. & PšenčikI.1984. SEIS83 — Numerical modeling of seismic wave fields in 2‐D laterally varying layered structures by the ray method. In: Documentation of Earthquake Algorithms (ed. E.R. Engdahl), Report SE‐35, pp. 3640. Boulder.
  3. DitmarP.G.1990. Seismic tomography based on smoothness of the unknown function. PhD thesis, Leningrad University (in Russian).
  4. DitmarP.G.1993. Algorithm for tomographic processing of seismic data assuming smoothness of sought‐for function. Izvestiya, Earth Physics29,511.
    [Google Scholar]
  5. DitmarP.G. & MakrisJ.1996. Tomographic inversion of 2‐D WARP data based on Tikhonov regularization. 66th SEG meeting, Denver, USA, Expanded Abstracts, 20152018.
  6. DitmarP.G., MakrisJ., WangS.1995. WARP data interpretation: calculation of the 2‐D velocity model by means of non‐linear seismic tomography. 65th SEG meeting, Houston, USA, Expanded Abstracts, 10741076.
  7. DitmarP., PenoppJ., RainerK., MakrisJ.1997. Interpretation of shallow refraction seismic data by reflection/refraction tomography. 59th EAGE conference, Geneva, Switzerland, Extended Abstracts, F042.
  8. FrankM.S. & BalanisC.A.1987. A conjugate direction method for geophysical inversion problems. IEEE Transactions on Geoscience and Remote SensingGE‐25,691701.
    [Google Scholar]
  9. GuiziouJ.L., MalletJ.L., MadariagaR.1996. 3‐D reflection tomography on top of the GOCAD depth modeler. Geophysics61,14991510.
    [Google Scholar]
  10. HagedoornJ.G.1959. The plus‐minus method of interpreting seismic refraction sections. Geophysical Prospecting7,158182.
    [Google Scholar]
  11. HestenesM.R. & StiefelE.1952. Methods of conjugate gradients for solving linear systems. Journal of Research of the National Bureau of Standards49,409436.
    [Google Scholar]
  12. HuangH., SpencerC., GreenA.1986. A method for the inversion of refraction and reflection travel times for laterally varying velocity structures. Bulletin of the Seismological Society of America76,837846.
    [Google Scholar]
  13. OlsenK.B.1989. A stable and flexible procedure for the inverse modeling of seismic first arrivals. Geophysical Prospecting37,455465.
    [Google Scholar]
  14. PalmerD.1980. The Generalized Reciprocal Method of Seismic Refraction Interpretation. Society of Exploration Geophysicists, Tulsa.
  15. PhillipsW.S. & FehlerM.S.1991. Traveltime tomography: a comparison of popular methods. Geophysics56,16391649.
    [Google Scholar]
  16. RajasekaranS. & McMechanG.A.1996. Tomographic estimation of the spatial distribution of statics. Geophysics61,11981208.
    [Google Scholar]
  17. StefaniJ.P.1995. Turning‐ray tomography. Geophysics60,19171929.
    [Google Scholar]
  18. StorkC. & ClaytonW.1991. Linear aspects of tomographic velocity analysis. Geophysics56,483495.
    [Google Scholar]
  19. ThornburghH.R.1930. Wavefront diagrams in seismic interpretation. Bulletin of the AAPG14,185200.
    [Google Scholar]
  20. WangB. & BraileL.W.1996. Simultaneous inversion of reflection and refraction seismic data and application to field data from the northern Rio Grande rift. Geophysical Journal International125,443458.
    [Google Scholar]
  21. WelchB.B.1995. Practical Programming in Tcl and Tk. Prentice‐Hall PTR, Upper Saddle River, New Jersey 07458.
  22. WhiteD.J.1989. Two‐dimensional seismic refraction tomography. Geophysical Journal97,223245.
    [Google Scholar]
  23. ZhangJ. & ToksözM.N.1996. Nonlinear refraction traveltime tomography. 66th SEG meeting, Denver, USA, Expanded Abstracts, 20112014.
  24. ZeltC.A. & SmithR.B.1992. Seismic traveltime inversion for 2‐D crustal velocity structure. Geophysical Journal International108,1634.
    [Google Scholar]
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