Sensitivity of the inverse problem solution related to detection of rebars buried in concrete by using GPR scanning

Ground Penetrating Radar is a device which is nowadays largely used in civil engineering applications. Considering a rebar buried in a concrete medium, this work addresses sensitivity of the inverse problem solution associated to identification of the object radius and its depth from B-scan data acq...

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Main Authors: Mechbal Zoubaida, Khamlichi Abdellatif
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201819100010
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author Mechbal Zoubaida
Khamlichi Abdellatif
author_facet Mechbal Zoubaida
Khamlichi Abdellatif
author_sort Mechbal Zoubaida
collection DOAJ
description Ground Penetrating Radar is a device which is nowadays largely used in civil engineering applications. Considering a rebar buried in a concrete medium, this work addresses sensitivity of the inverse problem solution associated to identification of the object radius and its depth from B-scan data acquired by the GPR. The approach uses a closed form parameterisation of the hyperbola trace emerging in the radargram as function of the hyperbola apex coordinate along the direction of B-scan, the cover depth, the radius of the object and the relative permittivity of the medium. Estimation of the wave velocity, the hyperbola apex coordinates and the rebar radius was performed through solution of an appropriate nonlinear least mean squares problem. Perturbation analysis was then conducted by assuming that the hyperbola points coordinates, extracted from raw data of radargram, are randomly distributed according to Gaussian densities of probabilities. The effect of the amount of data was also analyzed. The method was implemented in Matlab environment. The obtained results have shown that identification process is extremely sensitive to noise affecting the B-scan raw data, but not to the number of points used in identification.
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spelling doaj.art-e733ccf2c58145f8bf9b8c6c3d2f717f2022-12-21T22:25:34ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-011910001010.1051/matecconf/201819100010matecconf_ndecs2017_00010Sensitivity of the inverse problem solution related to detection of rebars buried in concrete by using GPR scanningMechbal ZoubaidaKhamlichi AbdellatifGround Penetrating Radar is a device which is nowadays largely used in civil engineering applications. Considering a rebar buried in a concrete medium, this work addresses sensitivity of the inverse problem solution associated to identification of the object radius and its depth from B-scan data acquired by the GPR. The approach uses a closed form parameterisation of the hyperbola trace emerging in the radargram as function of the hyperbola apex coordinate along the direction of B-scan, the cover depth, the radius of the object and the relative permittivity of the medium. Estimation of the wave velocity, the hyperbola apex coordinates and the rebar radius was performed through solution of an appropriate nonlinear least mean squares problem. Perturbation analysis was then conducted by assuming that the hyperbola points coordinates, extracted from raw data of radargram, are randomly distributed according to Gaussian densities of probabilities. The effect of the amount of data was also analyzed. The method was implemented in Matlab environment. The obtained results have shown that identification process is extremely sensitive to noise affecting the B-scan raw data, but not to the number of points used in identification.https://doi.org/10.1051/matecconf/201819100010
spellingShingle Mechbal Zoubaida
Khamlichi Abdellatif
Sensitivity of the inverse problem solution related to detection of rebars buried in concrete by using GPR scanning
MATEC Web of Conferences
title Sensitivity of the inverse problem solution related to detection of rebars buried in concrete by using GPR scanning
title_full Sensitivity of the inverse problem solution related to detection of rebars buried in concrete by using GPR scanning
title_fullStr Sensitivity of the inverse problem solution related to detection of rebars buried in concrete by using GPR scanning
title_full_unstemmed Sensitivity of the inverse problem solution related to detection of rebars buried in concrete by using GPR scanning
title_short Sensitivity of the inverse problem solution related to detection of rebars buried in concrete by using GPR scanning
title_sort sensitivity of the inverse problem solution related to detection of rebars buried in concrete by using gpr scanning
url https://doi.org/10.1051/matecconf/201819100010
work_keys_str_mv AT mechbalzoubaida sensitivityoftheinverseproblemsolutionrelatedtodetectionofrebarsburiedinconcretebyusinggprscanning
AT khamlichiabdellatif sensitivityoftheinverseproblemsolutionrelatedtodetectionofrebarsburiedinconcretebyusinggprscanning