Theoretical Justification for the One-Dimensional Geolocation Method

Abstract

In this article we will discus the usage feature of the ground penetrating radar (GPR) for the solution underground geotechnologies problems. One of the main problems by the usage GPR method is that the surface of the workings is shielded by metal elements of support (frames, fittings, tightening and other). In this article we suggest to use one- dimensional GPR-scanning method instead of traditional GPR-profiling method. We assume that the scanning will be performed on the development contour in areas free from shielding. For justification one- dimensional GPR method we propose a mathematical model for the propagation of an electromagnetic signal in an inhomogeneous medium based on classical equations of electrodynamics. We also present a numerical implementation of it, which confirms the validity of the accepted problem statement.