Linear GPR inversion for lossy soil and a planar air-soil interface

• Published in: IEEE transactions on geoscience and remote sensing Vol. 39; no. 12; pp. 2713 - 2721
• Main Author: Meincke, P.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.12.2001; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied geophysics; Approximation methods; Back propagation; Backpropagation algorithms; Earth sciences; Earth, ocean, space; Exact sciences and technology; Filtering; Filtration; Fourier transforms; Frequency; Geophysical measurements; Green function; Ground penetrating radar; Integral equations; Internal geophysics; Inversions; Mathematical models; Scattering; Soil (material); Soil measurements; Soils; Surficial geology; Three dimensional; inverse problem; wave scattering; diffraction; tomography; mathematical models; data processing; soils; filtering; Green function; loam; Born approximation; ground-penetrating radar
• ISSN: 0196-2892; 1558-0644
• DOI: 10.1109/36.975005

A three-dimensional inversion scheme for fixed-offset ground penetrating radar (GPR) is derived that takes into account the loss in the soil and the planar air-soil interface. The forward model of this inversion scheme is based upon the first Born approximation and the dyadic Green function for a two-layer medium. The forward model is inverted using the Tikhonov-regularized pseudo-inverse operator. This involves two steps: filtering and backpropagation. The filtering is carried out by numerically solving Fredholm integral equations of the first kind and the backpropagation is performed using fast Fourier transforms. Numerical results are provided to illustrate the performance of the inversion scheme.