Open AccessElectromagnetic induction in the Earth in electrical contact with the oceans
Author(s) -
HewsonBrowne R. C.,
Kendall P. C.
Publication year - 1981
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1981.tb05959.x
Subject(s) - electromagnetic induction , integral equation , convergence (economics) , iterative method , mathematics , variable (mathematics) , mathematical analysis , geology , geophysics , mathematical optimization , physics , electromagnetic coil , quantum mechanics , economics , economic growth
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.