Computer Science – Sound
Scientific paper
May 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993georl..20..891x&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 20, no. 10, p. 891-894.
Computer Science
Sound
Boundary Element Method, Boundary Integral Method, Electric Potential, Electrical Resistivity, Terrain Analysis, Geoelectricity, Integral Equations
Scientific paper
This paper uses the boundary element method to solve the problem of the effect of 2D terrain with point current source on resistivity surveys. First, the 3D boundary value problem of the electric field of a point source on 2D terrain is converted into a 2D boundary value problem using a Fourier transform. Then, the 2D boundary value problem is transformed into a boundary integral equation by means of Green's formula. The BEM is used to solve the integral equation. Finally, using an inverse Fourier inverse transform, we get the electric potential in 3D space. Examples calculated for two terrain models show that the results from this method compare well with those from analytic and FEM. If the terrain has a clear strike, this method can be used for terrain corrections for resistivity surveys. An example of a terrain correction for electlric sounding is given.
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