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Book Chapter

A Volume-Surface Integral Equation for Electromagnetic Modeling

By
Zonghou Xiong
Zonghou Xiong
Cooperative Research Centre for Australian Mineral Exploration Technologies (CRC AMET), CSIRO, P.O. Box 136, North Ryde, New South Wales 2113, Australia.
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Art Raiche
Art Raiche
Cooperative Research Centre for Australian Mineral Exploration Technologies (CRC AMET), CSIRO, P.O. Box 136, North Ryde, New South Wales 2113, Australia.
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Fred Sugeng
Fred Sugeng
Cooperative Research Centre for Australian Mineral Exploration Technologies (CRC AMET), CSIRO, P.O. Box 136, North Ryde, New South Wales 2113, Australia.
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Published:
January 01, 1999

Summary.

Conventional methods for solving 3-D volume integral equations in electromagnetic (EM) modeling produce matrices that are ill-conditioned when the conductivity contrast between the target and the host is large or when the host resistivity itself is small. This problem is especially acute when pulse basis functions represent the scattering currents because the artificial discontinuities in the current create spurious charges in homogeneous conductive regions (where there are no physical charges). Basis functions with higher-order continuity do not entirely eliminate this problem. The field of these charges is amplified at high host resistivities by Green’s tensor and artificially attenuates the physical vortex currents. We present a new formulation that eliminates these spurious charges analytically by replacing the volume integral for the field caused by charges (on the boundary of homogeneous regions) with a surface integral, while retaining the volume integral for the field of the induced currents. This formulation is mathematically closer to the physics of EM induction and effectively removes a major source of error. Also, condition numbers of matrix systems without artificial charges are also much smaller than those of the conventional method.

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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

GeoRef

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