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Abstract
Characterization of the electrical properties of a medium using ground-penetrating radar (GPR) appeals to inverse modeling, which has remained a major challenge in applied geophysics in particular due to antenna modeling limitations. In this paper, we present far-field and near-field radar forward and inverse modeling approaches for wave propagation in layered media in a digital soil mapping context. Radar antennas are modeled using an equivalent set of infinitesimal electric dipoles and characteristic, frequency-dependent, global reflection and transmission coefficients. These coefficients determine through a plane wave decomposition wave propagation between the radar reference plane, point sources, and field points. The interactions between the antenna and the medium are thereby inherently accounted for. The fields are calculated using three-dimensional Green's functions. We validated the model using both time and frequency domain radars. The antennas were calibrated using measurements at different heights above a copper plane. The proposed model provided unprecedented results for describing far-field and near-field radar data collected over water, whose frequency-dependent electrical properties were described using the Debye model. Very good agreements were also obtained for measurements collected over sand subject to a range of water contents. Model inversion further permitted to estimate the medium electrical properties. The proposed modeling approaches are fast and show great promise for digital soil mapping an non-destructive material characterization. We show field application examples where GPR is used to map soil moisture with a high spatial resolution.
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Lambot, S., Tran, V. A., & André, F. (2012). Far-field and near-field modeling of ground-penetrating radar for digital soil mapping. Proceedings, p. G12-HW03-IM01, IWTC 16. https://hdl.handle.net/2078.5/225372