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An inversion method of Gel'fand-Levitan type for the electromagnetic induction problem

Citation

Bassom, AP and Jady, RJ, An inversion method of Gel'fand-Levitan type for the electromagnetic induction problem, Geophysical Journal, 92, (1) pp. 111-123. ISSN 0275-9128 (1988) [Refereed Article]


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Copyright Statement

Copyright 1988 The Royal Astronomical Society

DOI: doi:10.1111/j.1365-246X.1988.tb01126.x

Abstract

The inverse problem of electromagnetic induction for an assumed spherically symmetric conductivity distribution within the Earth is considered. In particular an adaptation (applicable in the case of external source fields) is made of the method proposed by Johnson & Smylie. This is based on the Gel'fand-Levitan integral equation and is relevant to the determination of electrical conductivity in the lower mantle and internally generated source-fields. A characteristic of this approach is that the predicted conductivity is a twice differentiable function with respect to the Earth's radius. It is shown here that the inversion procedure satisfactorily recovers the conductivity profile with data generated from a variety of synthetic conductivity structures. Typical response measurements covering a range of frequencies from 0.1 cycles per year to 11 cycles per day for the Earth allowed estimates of the conductivity profile for depths to about 2000 km.

Item Details

Item Type:Refereed Article
Keywords:electromagnetic induction, mantle conductivity, Gel'fand-Levitan inversion
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:108030
Year Published:1988
Deposited By:Mathematics and Physics
Deposited On:2016-04-04
Last Modified:2016-09-05
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