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

Author

Meincke, Peter

Author_Institution

Tech. Univ. Denmark, Lyngby, Denmark

Volume

39

Issue

12

fYear

2001

fDate

12/1/2001 12:00:00 AM

Firstpage

2713

Lastpage

2721

Abstract

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

Keywords

buried object detection; inverse problems; remote sensing by radar; soil; 3D inversion scheme; Fredholm integral equations; Tikhonov-regularized pseudo-inverse operator; backpropagation; diffraction tomography; dyadic Green function; fast Fourier transforms; filtering; first Born approximation; fixed-offset ground penetrating radar; forward model; inverse scattering; inversion scheme; linear GPR inversion; lossy soil; planar air-soil interface; two-layer medium; Approximation methods; Backpropagation algorithms; Filtering; Frequency; Geophysical measurements; Green function; Ground penetrating radar; Integral equations; Scattering; Soil measurements;

fLanguage

English

Journal_Title

Geoscience and Remote Sensing, IEEE Transactions on

Publisher

ieee

ISSN

0196-2892

Type

jour

DOI

10.1109/36.975005

Filename

975005