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Volume 43 Number 7
  • E-ISSN: 1365-2478

Abstract

Inversion of noisy magnetotelluric data over a horizontally stratified earth has no unique solution. Instead, the resistivities and thicknesses of the layers can only be specified to lie within certain bounds at a particular confidence level. The significance of having correctly estimated data errors when calculating the parameters and parameter bounds is discussed. Emphasis is put on the very corrunon problem of not being able to obtain models which can be considered acceptable with a reasonable certainty from a statistical point of view. A method is presented to obtain a pragmatic data error description by adjustment of wrongly estimated data errors while keeping the suppression of 1D data features at a minimum. A comparison is made between calculation of the parameter bounds based on approximating the confidence surface by hyperellipsoids and a calculation based on a full non‐linear most‐squares analysis. In general it is found that the approximation works very well when the confidence limit is small. However, significant deviations are found in some cases.

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2006-04-28
2024-04-26

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References

  1. BaileyR.C.1970. Inversion of the geomagnetic induction problem. Proceedings of the Royal Society315, 185–194.
    [Google Scholar]
  2. BerdichevskyM.N. and DmitrievV.l.1976. Distortion of magnetic and electric fields by near‐surface lateral inhomogeneities. Acta Geodaetica et Montanist, Hungarian Academy of Scicnce1, 447–483.
    [Google Scholar]
  3. CantwellT.1960. Detection and analysis of low‐frequency magnetotelluric signals. Ph.D. thesis, M.I.T., Cambridge , Mass. , U.S.A .
  4. ConstableS.C., ParkerR.L. and ConstableC.G.1987. Occam's inversion: a practical algorithm for generating smooth models for electromagnetic data. Geophysics52, 289–300.
    [Google Scholar]
  5. FischerG., SchneggP.A. and Le QuangB.V.1982. Parameter trade‐off in one‐dimensional magnetotelluric modelling. Journal of Geophysics51, 206–215.
    [Google Scholar]
  6. JacksonD.D.1976. Most squares inversion. Jozrnal of Geophysical Research81, 1027–1030.
    [Google Scholar]
  7. JohansenH.K.1977. A man/computer interpretation system for resistivity soundings over a horizontally stratified earth. Geophysical Prospecting25, 667–691.
    [Google Scholar]
  8. LarsenJ.G.1989. Transfer functions: smooth robust estimates by least‐squares remote reference methods. Geophysical Journal Intenntional99, 645–663.
    [Google Scholar]
  9. OldenburgD.W.1979. One‐dimensional inversion of natural source magnetotelluric observation. Geophysics44, 1218–1244.
    [Google Scholar]
  10. ParkerR.L.1977. Understanding inverse theory. Annual Review of Earth and Planetary Science5, 35–64.
    [Google Scholar]
  11. ParkerR.L.1980. The inverse problem of electromagnetic induction. Journal of Geophysical Research85, 4421–4428.
    [Google Scholar]
  12. PedersenL.B.1979. Constrained inversion of potential field data. Geophysical Prospectittg27, 726–748.
    [Google Scholar]
  13. PedersenL.B.1982. The magnetotelluric impedance tensor ‐ its random and bias errors. Geophysical Prospecting30, 188–210.
    [Google Scholar]
  14. PedersenL.B. and RasmussenT.M.1989. Inversion of magnetotelluric data: a non‐linear Ieast‐squares approach. Geophysical Prospecting37, 669–695.
    [Google Scholar]
  15. RanganayakiR.P.1984. An interpretative analysis of magnetotelluric data. Geophysics49, 1730–1748.
    [Google Scholar]
  16. VozoffK.
    1991. The magnetotelluric method. In: Electomagnetic Methods in Applied Geophysics, Vol 2 (ed. M.N.Nabigian ), pp. 641–711. Society of Exploration Geophysicists.
    [Google Scholar]
  17. WeideltP.1972. The inverse problem of geomagnetic induction. Zeitschift für Geophysik38, 257–289.
    [Google Scholar]
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