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Book Chapter

Finite-Element Formulation of Electromagnetic Induction with Coupled Potentials

By
Mark E. Everett
Mark E. Everett
Department of Geology and Geophysics, Texas A&M University, College Station, TX 77843, USA.
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Published:
January 01, 1999

Summary

Electric and magnetic potentials in the Coulomb gauge provide a convenient formulation for finite-element modeling of electromagnetic (EM) induction in heterogeneous conductivity structure. The formulation uses standard linear finite elements defined on tetrahedra. The finite-element equations are solved by a sparse, ILU decomposition that ignores fill-in to achieve maximum storage efficiency. The formulation can handle models of interest to oil and gas exploration, mining, and environmental studies. It is applied here in spherical geometry to model EM induction in the upper mantle due to a magnetospheric ring current.

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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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