Electromagnetic induction in the Earth in electrical contact with the oceans |
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| Authors: | R C Hewson-Browne P C Kendall |
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| Institution: | Department of Applied and Computational Mathematics, The University of Sheffield, Sheffield, Yorkshire S10 2TN;Department of Mathematics, The University of Keele, Keele, Staffordshire ST5 5BG |
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| Abstract: | Summary. Integral equations are formulated to solve the problem of electromagnetic induction in the Earth in the presence of thin finitely conducting oceans. Unlike earlier models, the oceans are assumed to be in electrical contact with the mantle and leakage of oceanic electric current is therefore possible. A powerful iterative method is developed to solve the very large system of equations and is applied successfully to a model problem. A feature of the integral equations is that they lead to a good first approximation. When fed into the iterative scheme this enhances the rate of convergence. Variable mesh size also appears possible. |
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