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Modelling the 2D terrain effect on MT by the boundary‐element method[Note 1. Received March 1996, revision accepted March 1997. ...]
Author(s) -
Xu Shizhe,
Zhou Hui
Publication year - 1997
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1046/j.1365-2478.1997.610301.x
Subject(s) - boundary element method , terrain , boundary knot method , magnetotellurics , boundary (topology) , mathematical analysis , finite element method , geology , geometry , field (mathematics) , boundary value problem , method of fundamental solutions , directional derivative , geophysics , mathematics , electrical resistivity and conductivity , structural engineering , engineering , electrical engineering , geography , cartography , pure mathematics
The boundary‐element method is used to model the 2D terrain effect on the magnetotelluric (MT) field. Firstly, the boundary‐value problem of a 2D magnetotelluric field is transformed into an integral equation problem by using Green's theorem. Then the boundary‐element method is used to solve the integral equation and to obtain the MT field and its normal derivative on the terrain. From these values, the apparent resistivity can be calculated. Compared with the finite‐element method, the boundary‐element method is simpler in element division and the initial data preparation. The configuration of a terrain divided by the boundary‐element method is more consistent with the practical terrain. The method proposed in this paper can be run on a microcomputer, so that it can be used in the field.