Permittivity Heterogeneity Influence of Multiphase Pavement Materials on Ground-Penetrating Radar Detection Results: A Study Based on Probability Distribution
Publication: Journal of Materials in Civil Engineering
Volume 36, Issue 11
Abstract
For ground-penetrating radar (GPR) detection, multiphase heterogeneous pavement models were built and on-site detections were conducted. The statistic distribution rules of relative permittivity in pavement materials including asphalt mixture and cement-stabilized macadam were determined, and the heterogeneous error correction method of the layer thickness and distress buried depth were studied. The heterogeneous interferences in the A-scan curve before and after interlayer reflection wave filtering were quantified. The relationship between the crack width and homogeneous reflection wave was proposed, and the heterogeneous interference on the identification of the internal crack in the surface layer was discussed. The results show that the relative permittivity values of the surface and base layers obey Gaussian distribution obviously. Heterogeneous error formulas of the layer thickness and distress buried depth were proposed, and the concept of assurance rate was introduced in the error correction. The heterogeneous interference ratio (HIR) index was proposed to represent the heterogeneous interference in A-scan curves, and its Gaussian distribution characteristics were put forward. The heterogeneous interference increases with the wave frequency increase, and the standard deviation of HIR in the surface layer is higher than that in the base layer because of its finer gradation. The average value subtraction method filters the interlayer boundary reflection wave, which has no or minimal influence on the mean value and standard deviation of HIR, respectively. The crack interference ratio (CIR) index was proposed to quantify the heterogeneous interference on the crack reflection wave. Higher wave frequency, wider crack width, and higher water content of the crack medium are conducive to decrease the heterogeneous interference on the crack identification. The reflection waves of the millimeter-scale internal cracks have close magnitude compared with the heterogeneous interference wave, so filtering the heterogeneous interference wave is the premise to identify the millimeter-scale internal cracks in the surface layer.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This research was funded by the National Natural Science Foundation of China (Grant No. 52378445), Jiangsu Funding Program for Excellent Postdoctoral Talent (Grant No. 2023ZB519), Postdoctoral Fellowship Program of CPSF (Grant No. GZC20230432), and Open Fund of Key Laboratory of Flight Techniques and Flight Safety, CAAC (Grant No. FZ2022KF20).
References
Benedetto, A., and S. Pensa. 2007. “Indirect diagnosis of pavement structural damages using surface GPR reflection techniques.” J. Appl. Geophys. 62 (2): 107–123. https://doi.org/10.1016/j.jappgeo.2006.09.001.
Booth, A., R. Clark, and T. Murray. 2011. “Influences on the resolution of GPR velocity analyses and a Monte Carlo simulation for establishing velocity precision.” Near Surf. Geophys. 9 (Mar): 399–411. https://doi.org/10.3997/1873-0604.2011019.
Cao, Q., and I. Alqadi. 2021. “Development of a numerical model to predict the dielectric properties of heterogeneous asphalt concrete.” Sensors 21 (8): 2643. https://doi.org/10.3390/s21082643.
Chen, P., N. Zabaras, and I. Bilionis. 2015. “Uncertainty propagation using infinite mixture of Gaussian processes and variational Bayesian inference.” J. Comput. Phys. 284 (May): 291–333. https://doi.org/10.1016/j.jcp.2014.12.028.
Colombano, S., H. Davarzani, E. Hullebusch, D. Huguenot, and I. Ignatiadis. 2021. “Permittivity and electrical resistivity measurements and estimations during the recovery of DNAPL in saturated porous media: 2D tank experiments.” J. Appl. Geophys. 191 (Jun): 104359. https://doi.org/10.1016/j.jappgeo.2021.104359.
Cui, L., T. Ling, F. Sun, Z. Zhang, and J. Xin. 2022. “Study of in situ dynamic modulus prediction of asphalt mixture utilizing ground penetrating radar technology.” Constr. Build. Mater. 350 (Oct): 128695. https://doi.org/10.1016/j.conbuildmat.2022.128695.
Diamanti, N., and D. Redman. 2012. “Field observations and numerical models of GPR response from vertical pavement cracks.” J. Appl. Geophys. 81 (Jun): 106–116. https://doi.org/10.1016/j.jappgeo.2011.09.006.
Economou, N., and G. Kritikakis. 2016. “Attenuation analysis of real GPR wavelets: The equivalent amplitude spectrum (EAS).” J. Appl. Geophys. 126 (Mar): 13–26. https://doi.org/10.1016/j.jappgeo.2016.01.005.
Guo, S., M. Ji, P. Zhu, and X. Li. 2015. “Study on multiphase discrete random medium model and its GPR wave field characteristics.” [In Chinese.] Chin. J. Geophys. 58 (8): 2779–2791. https://doi.org/10.6038/cjg20150813.
Jaselskis, E. J., J. Grigas, and A. Brilingas. 2003. “Dielectric properties of asphalt pavement.” J. Mater. Civ. Eng. 15 (5): 427–434. https://doi.org/10.1061/(ASCE)0899-1561(2003)15:5(427).
Jiang, Z., Z. Zeng, J. Li, F. Liu, and W. Li. 2013. “Simulation and analysis of GPR signal based on stochastic media model with an ellipsoidal autocorrelation function.” J. Appl. Geophys. 99 (Mar): 91–97. https://doi.org/10.1016/j.jappgeo.2013.08.005.
Johnson, R., and E. Poeter. 2005. “Iterative use of the Bruggeman-Hanai-Sen mixing model to determine water saturations in sand.” Geophysics 70 (5): K33–K38. https://doi.org/10.1190/1.2049348.
Kao, C., J. Li, Y. Wang, H. Xing, and C. Liu. 2007. “Measurement of layer thickness and permittivity using a new multilayer model from GPR data.” IEEE Trans. Geosci. Remote Sens. 45 (8): 2463–2470. https://doi.org/10.1109/TGRS.2007.900980.
Khamzin, A., A. Varnavina, E. Torgashov, N. Anderson, and L. Sneed. 2017. “Utilization of air-launched ground penetrating radar (GPR) for pavement condition assessment.” Constr. Build. Mater. 141 (Mar): 130–139. https://doi.org/10.1016/j.conbuildmat.2017.02.105.
Lachowicz, J., and M. Rucka. 2019. “A novel heterogeneous model of concrete for numerical modelling of ground penetrating radar.” Constr. Build. Mater. 227 (Jun): 116703. https://doi.org/10.1016/j.conbuildmat.2019.116703.
Lahouar, S., and I. Al-Qadi. 2008. “Automatic detection of multiple pavement layers from GPR data.” NDT & E Int. 41 (2): 69–81. https://doi.org/10.1016/j.ndteint.2007.09.001.
Leng, Z., and I. Al-Qadi. 2014. “An innovative method for measuring pavement dielectric constant using the extended CMP method with two air-coupled GPR systems.” NDT & E Int. 66 (Mar): 90–98. https://doi.org/10.1016/j.ndteint.2014.05.002.
Li, S., X. Gu, X. Xu, D. Xu, and Q. Dong. 2021. “Detection of concealed cracks from ground penetrating radar images based on deep learning algorithm.” Constr. Build. Mater. 273 (Mar): 121949. https://doi.org/10.1016/j.conbuildmat.2020.121949.
Liu, H., R. Birken, and M. Wang. 2016. “Automatic pavement layer identification with multichannel ground penetrating radar at traffic speed.” J. Appl. Remote Sens. 10 (4): 046023. https://doi.org/10.1117/1.JRS.10.046023.
Liu, H., and M. Sato. 2014. “In situ measurement of pavement thickness and dielectric permittivity by GPR using an antenna array.” NDT & E Int. 64 (Jun): 65–71. https://doi.org/10.1016/j.ndteint.2014.03.001.
Liu, S., E. Wei, and Y. Jia. 2013. “Estimating microwave emissivity of sea foam by Rayleigh method.” J. Appl. Remote Sens. 7 (1): 073598. https://doi.org/10.1117/1.JRS.7.073598.
Liu, Y., Z. Qian, Y. Yin, and H. Ren. 2022. “Investigation on interlayer behaviors of a double-layered heterogeneous asphalt pavement structure for steel bridge deck.” J. Mater. Civ. Eng. 34 (5): 04022062. https://doi.org/10.1061/(ASCE)MT.1943-5533.0004206.
Marecos, V., S. Fontul, M. Solla, and M. Antunes. 2018. “Evaluation of the feasibility of common mid-point approach for air-coupled GPR applied to road pavement assessment.” Measurement 128 (Nov): 295–305. https://doi.org/10.1016/j.measurement.2018.06.062.
Meng, M. 2014. “Study on dielectric model including the frequency and temperature of concrete and asphalt mixture.” [In Chinese.] Ph.D. thesis, School of Water Conservancy and Environment, Zhengzhou Univ.
Mikiewicz, M., K. Daszkiewicz, J. Lachowicz, P. Tysiac, P. Jaskula, and K. Wilde. 2021. “Nondestructive methods complemented by FEM calculations in diagnostics of cracks in bridge approach pavement.” Autom. Constr. 128 (Aug): 103753. https://doi.org/10.1016/j.autcon.2021.103753.
Ministry of Transport of China. 2000. Technical specifications for construction of highway roadbases. [In Chinese.] JTJ 034-2000. Beijing: Ministry of Transport of China.
Ministry of Transport of China. 2004. Technical specification for construction of highway asphalt pavements. [In Chinese.] JTG F40-2004. Beijing: Ministry of Transport of China.
Ministry of Transport of China. 2017. Design specification for highway asphalt pavements. [In Chinese.]. JTG D50-2017. Beijing: Ministry of Transport of China.
Ministry of Transport of China. 2019. Field test methods of highway subgrade and pavement. [In Chinese.] JTG 3450-2019. Beijing: Ministry of Transport of China.
Morcous, G., and E. Erdogmus. 2015. “Accuracy of ground-penetrating radar for concrete pavement thickness measurement.” J. Perform. Constr. Facil. 24 (6): 610–621. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000123.
Peng, Y., H. Gao, X.-Y. Lu, and L.-J. Sun. 2020. “Micromechanical discrete element modeling of asphalt mixture shear fatigue performance.” J. Mater. Civ. Eng. 32 (7): 04020183. https://doi.org/10.1061/(ASCE)MT.1943-5533.0003246.
Plati, C., P. Georgiou, and A. Loizos. 2016. “A comprehensive approach for the assessment of HMA compactability using GPR technique.” Near Surf. Geophys. 14 (2): 117–126. https://doi.org/10.3997/1873-0604.2015043.
Plati, C., and A. Loizos. 2013. “Estimation of in-situ density and moisture content in HMA pavements based on GPR trace reflection amplitude using different frequencies.” J. Appl. Geophys. 97 (Jun): 3–10. https://doi.org/10.1016/j.jappgeo.2013.04.007.
Rasol, M., J. Pais, V. Pérez-Gracia, M. Solla, F. Fernandes, S. Fontul, D. Ayala-Cabrera, F. Schmidt, and H. Assadollahi. 2022. “GPR monitoring for road transport infrastructure: A systematic review and machine learning insights.” Constr. Build. Mater. 324 (Mar): 126686. https://doi.org/10.1016/j.conbuildmat.2022.126686.
Shang, J. 2002. “Effects of asphalt pavement properties on complex permittivity.” Int. J. Pavement Eng. 3 (4): 217–226. https://doi.org/10.1080/1029843021000041140.
Shen, K., H. Wang, H. Zhang, J. Tong, and X. Chen. 2022. “SAPAVE: An improved semi-analytical FE program for dynamic viscoelastic analysis of asphalt pavement.” Int. J. Pavement Eng. 23 (9): 3024–3035. https://doi.org/10.1080/10298436.2021.1878516.
Sihvola, A. 1989. “Self-consistency aspects of dielectric mixing theories.” IEEE Trans. Geosci. Remote Sens. 27 (4): 403–415. https://doi.org/10.1109/36.29560.
Teshale, E. 2019. “Toward core-free pavement compaction evaluation: An innovative method relating asphalt permittivity to density.” Geosciences 9 (7): 280. https://doi.org/10.3390/geosciences9070280.
Tong, J., K. Shen, T. Ma, and J. Zhang. 2022. “Characterizing the tension-compression asymmetric viscoelasticity of asphalt mixture using the uniaxial tension and compression test.” Constr. Build. Mater. 350 (Mar): 128854. https://doi.org/10.1016/j.conbuildmat.2022.128854.
Wang, S., X. Sui, Z. Leng, J. Liang, and G. Lu. 2022. “Asphalt pavement density measurement using non-destructive testing methods: Current practices, challenges, and future vision.” Constr. Build. Mater. 344 (Mar): 128154. https://doi.org/10.1016/j.conbuildmat.2022.128154.
Xu, G., J. Fan, T. Ma, W. Zhao, and Z. Wang. 2021. “Research on application feasibility of limestone in sublayer of double-layer permeable asphalt pavement.” Constr. Build. Mater. 287 (Jun): 123051. https://doi.org/10.1016/j.conbuildmat.2021.123051.
Yang, M., H. Fang, D. Chen, X. Du, and F. Wang. 2020. “The conformal finite-difference time-domain simulation of GPR wave propagation in complex geoelectric structures.” Geofluids 2020 (Feb): 3069372. https://doi.org/10.1155/2020/3069372.
Yee, K. 1966. “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media.” IEEE Trans. Antennas Propag. 14 (3): 302–307. https://doi.org/10.1109/TAP.1966.1138693.
Yu, X., R. Luo, T. Huang, J. Wang, and Y. Chen. 2021. “Dielectric properties of asphalt pavement materials based on the temperature field.” Constr. Build. Mater. 303 (Oct): 124409. https://doi.org/10.1016/j.conbuildmat.2021.124409.
Zhang, B., Y. Ni, and Y. Zhong. 2023a. “Theoretical derivation of and experimental investigations into the dielectric properties modeling of concrete.” J. Mater. Civ. Eng. 35 (3): 04022445. https://doi.org/10.1061/(ASCE)MT.1943-5533.0004624.
Zhang, Y., F. Bao, Z. Tong, T. Ma, W. Zhang, J. Fan, and X. Huang. 2023b. “Radar wave response of slab bottom voids in heterogeneous airport concrete pavement.” [In Chinese.] J. Southeast Univ. 53 (1): 137–148. https://doi.org/10.3969/j.issn.1001-0505.2023.01.017.
Zhao, X., Q. Dong, X. Chen, X. Gu, and L. Wang. 2020. “Mesoscale cracking of cement-treated composites with initial defects.” [In Chinese.] China J. Highway Transp. 33 (1): 230–239. https://doi.org/10.19721/j.cnki.1001-7372.2020.10.017.
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Published In
Journal of Materials in Civil Engineering
Volume 36 • Issue 11 • November 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Nov 22, 2023
Accepted: Mar 21, 2024
Published online: Aug 23, 2024
Published in print: Nov 1, 2024
Discussion open until: Jan 23, 2025
ASCE Technical Topics:
- Base course
- Chemical properties
- Chemistry
- Construction materials
- Continuum mechanics
- Cracking
- Dynamics (solid mechanics)
- Engineering materials (by type)
- Engineering mechanics
- Environmental engineering
- Fluid mechanics
- Fracture mechanics
- Heterogeneity
- Hydraulic engineering
- Hydrologic engineering
- Infrastructure
- Materials engineering
- Pavements
- Solid mechanics
- Surface waves
- Transportation engineering
- Water and water resources
- Wave reflection
- Waves (fluid mechanics)
- Waves (mechanics)
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