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Book Chapter

Consistent Discretization of Electromagnetic Fields and Transient Modeling

By
Knútur Árnason
Knútur Árnason
National Energy Authority, Reykjavík, Iceland
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Published:
January 01, 1999

Summary

Differential forms provide an elegant formulation of electromagnetic field theory. Their geometric structure also leads to a self-consistent scheme for discretizing Maxwell’s equations in conducting media. This discretization, which is essentially a staggered-grid scheme, preserves differential operator identities, conservation laws, and physical boundary conditions.

The self-consistent scheme has been implemented in a code to model transient electromagnetic fields in a half-space with a step-function current excitation. For small conductivity contrasts results from the self-consistent scheme agree very well with results from a 3-D integral-equation code and from a staggered-grid finite-difference code. For high contrasts, though, the results from the integral-equation code differ. The difference may be a result of improper discretization of the integral equation.

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Contents

Geophysical Developments Series

Three-Dimensional Electromagnetics

Society of Exploration Geophysicists
Volume
7
ISBN electronic:
9781560802154
Publication date:
January 01, 1999

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