The geomagnetic/magnetotelluric induction problem with spatial conductivity fluctuations
 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 onedimensional largescale conductivity referenceprofile which depends solely on the vertical coordinate z>0. This largescale profile is assumed to be known. The distribution of the fluctuations is allowed to be arbitrary. The conductivityfluctuation generalised Helmholtz equation depends on the spectral density of the fluctuations as function of the vertical and horizontal coordinates. Application to the inverse geomagnetic/magnetotelluric 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. \\
 Further Information
 http://arxiv.org/abs/1701.07272
 BibTeX

@article{id2161, author = {Treumann, R. A. and Baumjohann, W.}, journal = {ArXiv}, language = {en}, note = {13 pages, 2 figures}, number = {1701.07272}, pages = {113}, title = {The geomagnetic/magnetotelluric induction problem with spatial conductivity fluctuations}, url = {http://arxiv.org/abs/1701.07272}, volume = {arXiv:}, year = {2017}, }
 EndNote

%O Journal Article %A Treumann, R. A. %A Baumjohann, W. %J ArXiv %G en %O 13 pages, 2 figures %N 1701.07272 %P 113 %T The geomagnetic/magnetotelluric induction problem with spatial conductivity fluctuations %U http://arxiv.org/abs/1701.07272 %V arXiv: %D 2017