Skip to main content
Earth, Planets and Space
Download PDF

An imaging of buried anomalies, using multi-sheet inversion

Earth, Planets and Space volume 50, pages 417–422 (1998)Cite this article

Abstract

The objective of this paper is to construct a stable inversion scheme to determine the conductance of a buried inhomogeneous layer masked by sedimentary cover. We employ a model which incorporates a surface sheet of conductance S1 (x, y) and a buried sheet of conductance S2 (x, y). The buried sheet is embedded at a depth d in a layered earth of conductivity σ(z). The σ(z), d and S1 (x, y) are assumed to be known. We determine S2(x, y) by inverting the monochromatic horizontal electromagnetic (EM) field measured at the earth’s surface. To do this, we use Price’s matching conditions at the sheets and a stable continuation of EM field from the earth’s surface onto the buried sheet. Employing synthetic data we demonstrate that the designed inversion scheme generates a reasonable image of the buried structure. The scheme is fast, since it doesn’t require any forward modelling.

References

  • Alumbaugh, D. L., Iterative electromagnetic Born inversion applied to earth conductivity imaging, Ph.D. Thesis, Univ. Calif., Berkeley, 1993.

    Google Scholar 

  • Avdeev, D. B., B. Sh. Singer, and E. B. Fainberg, The inverse problem of geoelectrics for thin sheet models, in Fundamental Problems of Marine Explorations, edited by M. S. Zhdanov, pp. 24–47, IZMIRAN, Moscow, 1986 (in Russian).

    Google Scholar 

  • Avdeev, D. B., E. B. Fainberg, and B. Sh. Singer, On applicability of Tikhonov-Cagniard magnetotelluric model for soundingofanon-uniform medium, Phys. Earth Planet. Int., 53, 343–349, 1989.

    Article  Google Scholar 

  • Avdeev, D. B., V. G. Dubrovsky, E. B. Fainberg, O. V. Pankratov, and B. Sh. Zinger, Deep electromagnetic sounding in Turkmenia, Geophys. J. Int., 118, 467–484, 1994.

    Article  Google Scholar 

  • Avdeev, D. B., A. V. Kuvshinov, O. V. Pankratov, and G. A. Newman, High-performance three-dimensional electromagnetic modelling using modified Neumann series. Wide-band numerical solution and examples, J. Geomag. Geoelectr., 49, 1519–1539, 1997.

    Article  Google Scholar 

  • Christensen, N. B., Optimized Fast Hankel Transform filters, Geophys. Prospect., 38, 545–568, 1990.

    Article  Google Scholar 

  • Eaton, P. A., Three-dimensional electromagnetic inversion using integral equations, Geophys. Prospect., 37, 407–426, 1989.

    Article  Google Scholar 

  • Johansen, H. K. and K. Sorensen, Fast Hankel Transforms, Geophys. Prospect., 27, 876–901, 1979.

    Article  Google Scholar 

  • Lee, K. H. and G. O. Xie, A new approach to imaging with low-frequency electromagnetic fields, Geophys., 58, 780–796, 1993.

    Article  Google Scholar 

  • Madden, T. R. and R. L. Mackie, Three-dimensional magnetotelluric modeling and inversion, Proc. IEEE, 77, 318–333, 1989.

    Article  Google Scholar 

  • Newman, G. A., Crosswell electromagnetic inversion using integral and differential equations, Geophys., 60, 899–911, 1995.

    Article  Google Scholar 

  • Oldenburg, D. W. and R. G. Ellis, Inversion geophysical data using an approximate inverse mapping, Geophys. J. Int., 105, 325–351, 1991.

    Article  Google Scholar 

  • Price, A. T., The induction of electric currents in nonuniform sheets and shells, Quart. J. Mech. Appl. Math., 2, 283–310, 1949.

    Article  Google Scholar 

  • Singer, B. Sh. and E. B. Fainberg, Electromagnetic Induction in Inhomogeneous Thin Sheets, 234 pp., IZMIRAN, Moscow, 1985 (in Russian).

    Google Scholar 

Download references

Author information

Affiliations

  1. Institute of Geoelectromagnetic Research, Russian Academy of Sciences, 142092, Troitsk, Moscow Region, Russia

    Dmitry B. Avdeev, Alexei V. Kuvshinov & Oleg V. Pankratov

Authors
  1. Dmitry B. Avdeev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Alexei V. Kuvshinov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Oleg V. Pankratov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Dmitry B. Avdeev.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Avdeev, D.B., Kuvshinov, A.V. & Pankratov, O.V. An imaging of buried anomalies, using multi-sheet inversion. Earth Planet Sp 50, 417–422 (1998). https://doi.org/10.1186/BF03352128

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1186/BF03352128

Keywords

  • Surface Sheet
  • Inversion Scheme
  • Downward Continuation
  • Layered Earth
  • Dipole Excitation