INVERSE SOURCE IDENTIFICATION PROBLEM FOR THE WAVE EQUATION: AN APPLICATION FOR INTERPRETING GPR DATA

In this paper, we consider the inverse problem of determining the dielectric constant of a medium, which depends on one spatial variable, based on GPR data. The interpretation algorithm is tested on real data obtained using the Zond-12 GPR. Experimental studies were carried out at a landfill with a geological section containing clean sand and heterogeneous inclusion of a wet salt dome of artificial origin. The numerical algorithm allows one to approximately calculate the dielectric constant of this inclusion. The environmental response received from the GPR was cleaned of noise and interference using filtering algorithms and wavelets. The tabular representation of the response of the medium was used as additional information to solve the inverse problem of determining the geophysical properties of a localized object, and the response function on a homogeneous medium was used to model the function of the source of the GPR signal. The obtained results demonstrate both the adequacy of the mathematical model and the possibility of practical application of the method in question for the interpretation of radarograms.