Lateral response functions for different linear configurations in resistivity methods for a homogeneous half-space

Abstract

Considering a homogeneous half-space to consist of an infinite number of sheets, infinitesimally thin, each sheet being semi-infinite in the vertical direction and extending from minus infinity to plus infinity, perpendicular to the collinear electrodes in a resistivity survey, the individual response from each sheet has been calculated from the solution of a boundary value problem. The lateral response functions for a general array, two-electrode and three-electrode arrays have been computed and presented. The results are somewhat astonishing as it can be seen that some portion of the ground does not contribute at all to the total response while some part has a negative contribution.