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Three-Dimensional Inversion for Large-Scale Structure in a Spherical Domain

Adam Schultz
Adam Schultz
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Geoffrey Pritchard
Geoffrey Pritchard
Institute of Theoretical Geophysics, University of Cambridge, Cambridge CB2 3EQ, UK.
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January 01, 1999


Our inversion method for global conductivity structures uses a forward solver that can represent arbitrary conductivity distributions in a sphere. The inversion uses new methods of grid generation and integration on a convex hull in spherical domains and exploits the relatively high speed and modest memory requirements of the spherical basis expansion. The method reduces the forward problem to the solution of a set of stiff ordinary differential equations, which are solved by finite differences on an adaptive grid. The model is parameterized by a set of regional 1-D models, which then are interpolated into a fully 3-D spherical model using a Delaunay triangulation.

The inversion proceeds in two stages: the first is a nonlinear search in which parameters are varied sequentially to minimize the cost function; the second uses a linearized inversion about the model obtained in the first stage. We have used this method to invert data at 16 frequencies from 20 geomagnetic observatories around the world. The 3-D model is generated from radial profiles (five layers) at 56 locations on the globe.

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Geophysical Developments Series

Three-Dimensional Electromagnetics

Society of Exploration Geophysicists
ISBN electronic:
Publication date:
January 01, 1999




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