Skip to main content
Log in

Imaginary surface vectors in multidimensional inverse problems of geoelectrics

  • Published:
Izvestiya, Physics of the Solid Earth Aims and scope Submit manuscript

Abstract

The paper analyzes problems involved in the impedance description of the electromagnetic field at the surface of an absorbing (reactive) medium. A new scheme based on the use of the scalar equations of a scattering surface is proposed for magnetotelluric data inversion. The basic information in this approach is the distribution of imaginary vectors on the surface that are generated by the exact vector impedance boundary condition.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. O. A. Aboul-Atta and W. M. Boerner, “Vectorial Impedance Identity for the Natural Dependence of Harmonic Fields on Closed Boundaries,” Can. J. Phys. 53(15), 1404–1407 (1975).

    Google Scholar 

  2. V. V. Aksenov, “Geophysical Electrodynamics and Its Applications,” Geofiz. Zh. 27(3), 526–536 (2005).

    Google Scholar 

  3. M. N. Berdichevsky, V. I. Dmitriev, N. S. Golubtsova, et al., “Magnetovariational Sounding: New Possibilities,” Fiz. Zemli, No. 9, 3–30 (2003) [Izvestiya, Phys. Solid Earth 39, 701–727].

  4. M. N. Berdichevsky and V. I. Dmitriev, “Inverse Problems of Magnetotellurics: A Modern Formulation,” Fiz. Zemli, No. 4, 12–29 (2004) [Izvestiya, Phys. Solid Earth 40, 276–292 (2004)].

  5. W. M. Boerner and H. P. S. Ahluwalia, “On a Set of Continuous Wave Electromagnetic Inverse Boundary Condition,” Can. J. Phys. 50(23), 3023–3061 (1972).

    Google Scholar 

  6. D. N. Chetaev, Directional Analysis of Magnetotelluric Observations (IFZ AN SSSR, Moscow, 1985) [in Russian].

    Google Scholar 

  7. V. I. Dmitriev, “Multidimensional and Multicriterial Inverse Problems of Magnetotelluric Sounding,” in Electromagnetic Studies of the Earth’s Interiors, V. V. Spichak, Ed. (2005), pp. 33–53 [in Russian].

  8. V. I. Dmitriev and M. N. Berdichevsky, “A Generalized Impedance Model,” Fiz. Zemli, No. 10, 106–112 (2002) [Izvestiya, Phys. Solid Earth 38, 897–904 (2002)].

  9. A. V. Guglielmi and M. B. Gokhberg, “On Magnetotelluric Sounding in Seismically Active Regions,” Izv. Akad. Nauk SSSR, Ser. Fiz. Zemli, No. 11, 122–123 (1987).

  10. Yu. A. Kartashov, G. V. Parantaev, and Yu. L. Yakhno, “Boundary Conditions for a Conducting Layer in the Ray Approximation,” Izv. Akad. Nauk SSSR, Ser. Fiz. Zemli, No. 9, 55–60 (1985).

  11. A. F. Kuckes, A. G. Nekut, and B. G. Thompson, “A Geomagnetic Scattering Theory for Evaluation of Earth Structure,” Geophys. J. R. Astron. Soc. 83, 319–330 (1985).

    Google Scholar 

  12. M. A. Leontovich, “Approximate Boundary Conditions for the Electromagnetic Field at the Surface of a Well Conducting Body,” in Investigations of Radiowave Propagation (AN SSSR, Moscow, 1948), pp. 5–12 [in Russian].

    Google Scholar 

  13. S. M. Rytov, “Calculation of the Skin Effect by the Method of Perturbations,” Zh. Eksp. Teor. Fiz., No. 2, 180–189 (1940).

  14. V. N. Shuman, “Exact Surface Conditions of the Impedance Type in Inverse Problems of Magnetotelluric and Geomagnetic Variation Soundings,” Geofiz. Zh. 26(5), 39–49 (2004).

    Google Scholar 

  15. V. N. Shuman, “On Theoretical Foundations of Modern Geoelectrics,” Geofiz. Zh. 27(2), 218–234 (2005a).

    Google Scholar 

  16. V. N. Shuman, “Maxwell Equations for Spherical Field Sources,” Geofiz. Zh. 27(3), 537–547 (2005b).

    Google Scholar 

  17. V. N. Shuman, “Methods and Models of Electromagnetic Sounding Systems,” Geofiz. Zh. 28(1), 17–30 (2006).

    Google Scholar 

  18. I. M. Varentsov, “Methods of Synchronous Electromagnetic Soundings: Construction and Analysis,” in Electromagnetic Studies of the Earth’s Interiors, V. V. Spichak, Ed. (2005), pp. 143–156 [in Russian].

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © V.N. Shuman, 2007, published in Fizika Zemli, 2007, No. 3, pp. 19–24.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shuman, V.N. Imaginary surface vectors in multidimensional inverse problems of geoelectrics. Izv., Phys. Solid Earth 43, 205–210 (2007). https://doi.org/10.1134/S1069351307030044

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1069351307030044

PACS numbers

Navigation