Two algorithms to compute the electric resistivity response using Green's functions for 3D structures

Abstract

An integral solution of the forward DC geoelectric response for three-dimensional target-bodies in a half-space, based on Green's functions, is introduced. The first algorithm presented is based on a volume integral method (VIM); here, only the primary electrical current is involved to compute the electric potential. The second one employs the surface integral method (SIM), and it is assumed the induced charge is due to the primary electrical field. Both algorithms are a combination of boundary and volume integrals. This paper shows the applicability of these algorithms to generate resistivity profile images reproducing some electrode arrays for traditional synthetic examples, and then these images were compared with already published results. Finally, the comparison between results shows the concept of induced charge used in SIM produces a better approach than VIM scheme in computing the electrical potential.