Method of Estimating the Geometric Parameters of a Three-Dimensional Object from Resistivity Survey Data

Abstract

The testing of the proposed method for estimating the geometric parameters of a three-dimensional object from the data of computer-aided simulation and field experiments confirmed by excavation provide the possibility to determine the location of anomalous-resistance objects under the ground and to perform the quantitative estimation of their geometric parameters (shape, dimensions, and burial depth) from resistivity survey data. It is shown that the analysis of the vector pictures of main resistance change directions provides the possibility to estimate the spatial location of an object of search (along the depth and in horizontal “sections”) at a qualitative level and to determine its relative resistance. The application of the scalar product function and the adaptive fuzzy clustering algorithm to these vector pictures provides the possibility to estimate the shape of an object of search and the range of its burial depths. Using the A* optimal path search algorithm, it is possible to plot the boundary line of an object on a set of horizontal “sections.”