Journal article
Linear GPR inversion for lossy soil and a planar air-soil interface
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
| Language: | English |
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| Publisher: | IEEE |
| Year: | 2001 |
| Pages: | 2713-2721 |
| ISSN: | 15580644 and 01962892 |
| Types: | Journal article |
| DOI: | 10.1109/36.975005 |
3D inversion scheme Approximation methods Backpropagation algorithms Filtering Fredholm integral equations Frequency Geophysical measurements Green function Ground penetrating radar Integral equations Scattering Soil measurements Tikhonov-regularized pseudo-inverse operator backpropagation buried object detection diffraction tomography dyadic Green function fast Fourier transforms filtering first Born approximation fixed-offset ground penetrating radar forward model inverse problems inverse scattering inversion scheme linear GPR inversion lossy soil planar air-soil interface remote sensing by radar soil two-layer medium
