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The geomagnetic/magneto-telluric induction problem with spatial conductivity fluctuations

Treumann, R. A., and W. Baumjohann (2017), The geomagnetic/magneto-telluric induction problem with spatial conductivity fluctuations, ArXiv, arXiv:(1701.07272), 1-13, 13 pages, 2 figures.

Abstract
The electromagnetic induction equation (Helmholtz equation) for the
electrically conducting Earth is generalised to the inclusion of a spatially
fluctuating internal conductivity spectrum that is superimposed on a
one-dimensional large-scale conductivity reference-profile which depends solely
on the vertical coordinate z>0. This large-scale profile is assumed to be
known. The distribution of the fluctuations is allowed to be arbitrary. The
conductivity-fluctuation generalised Helmholtz equation depends on the spectral
density of the fluctuations as function of the vertical and horizontal
coordinates. Application to the inverse geomagnetic/magneto-telluric problem is
discussed. We show analytically that the inverse problem yields the
conductivity fluctuation spectrum. The relation between the spectral density
and the obtained conductivity profile is given.
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Further information
BibTeX
@article{id2161,
  author = {R. A. Treumann and W. Baumjohann},
  journal = {ArXiv},
  month = {jan},
  note = {13 pages, 2 figures},
  number = {1701.07272},
  pages = {1-13},
  title = {{The geomagnetic/magneto-telluric induction problem with spatial conductivity fluctuations}},
  volume = {arXiv:},
  year = {2017},
  url = {http://arxiv.org/abs/1701.07272},
}
EndNote
%0 Journal Article
%A Treumann, R. A.
%A Baumjohann, W.
%D 2017
%N 1701.07272
%V arXiv:
%J ArXiv
%P 1-13
%Z 13 pages, 2 figures
%T The geomagnetic/magneto-telluric induction problem with spatial conductivity fluctuations
%U http://arxiv.org/abs/1701.07272
%8 jan
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Printed 15. Dec 2019 21:26