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Chapter 4: A Spherical Model of the Earth

Published:
January 01, 2002

4.1 SPECTRAL DECOMPOSITION OF THE FIELD IN A SPHERICAL MODEL

As a first step, we must consider a spherical model of the earth (Figure 11). Let the earth, of radius R, have a radial piecewise constant distribution of conductivity, ?(r), and be surrounded by a nonconducting atmosphere. Magnetic permeability of the earth is taken to be equal to the permeability of a vacuum, ? = ?0 = 4? × 10?7 H/m. The model is excited (inductively!) by an external nonuniform magnetic field.

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Investigations in Geophysics

Magnetotellurics in the Context of the Theory of Ill-Posed Problems

Mark N. Berdichevsky
Mark N. Berdichevsky
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;
Vladimir I. Dmitriev
Vladimir I. Dmitriev
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Society of Exploration Geophysicists
Volume
11
ISBN electronic:
9781560802068
Publication date:
January 01, 2002

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