Open AccessAn Inverse Theory for the Calculation of the Electrical Conductivity of the Lower Mantle
Author(s) -
Johnson Ian M.,
Smylie† D. E.
Publication year - 1971
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1971.tb03582.x
Subject(s) - inverse theory , mantle (geology) , inverse problem , electrical resistivity and conductivity , inverse , geophysics , attenuation , conductivity , magnetic field , geology , mathematical analysis , physics , mathematics , geometry , optics , quantum mechanics , oceanography , deformation (meteorology)
Summary The problem of the recovery of the electrical conductivity profile of the Earth's mantle from its attenuation properties to the main magnetic field generated in the core is shown to have a unique solution. The method of solution is based on the theory of the inverse Sturm‐Liouville problem developed by Gel'fand & Levitan. The numerical calculations involved appear to be practical.