TERRAPUB Earth, Planets and Space

Earth Planets Space, Vol. 64 (No. 5), pp. e9-e12, 2012


An improved forward modeling method for two-dimensional electromagnetic induction problems with bathymetry

Takuto Minami and Hiroaki Toh

Graduate School of Science, Kyoto University, Japan

(Received March 8, 2012; Revised April 18, 2012; Accepted April 28, 2012; Online published June 22, 2012)

Abstract: Recently, electromagnetic observations have become common not only on land but also on the seafloor. In particular, thanks to the development of instruments for use in shallow seas, one can conduct observations along land-sea arrays. However, since there is a large contrast in conductivity between sea water and rocks in the crust and the mantle, we have to pay more attention to the accuracy of forward solvers used for electromagnetic induction problems, including bathymetry. In this paper, we develop a two-dimensional forward code using triangular finite elements, and confirm the accuracy of the new code by TM mode responses. The accuracy of the improved solver was tested by comparison with an analytical solution in a hemi-cylindrical geometry. We also show that triangular elements are more reliable than rectangular elements in determining conductivity structures beneath land-sea arrays. Our results indicate the importance of precisely discretized bathymetry and the accuracy of spatial derivatives of electromagnetic field components, especially in the vicinity of coastlines.
Key words: Magnetotellurics, electrical conductivity structures, land-sea arrays, the finite element method, bathymetry.

Corresponding author E-mail: minami@kugi.kyoto-u.ac.jp

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