2015-09-23
GPR Modeling for Rapid Characterization of Layered Media
By
Progress In Electromagnetics Research B, Vol. 63, 217-232, 2015
Abstract
The success of a ground penetrating radar (GPR) signal modeling scheme largely depends on its accuracy and computational efficiency. Most of the modeling schemes suffer from inaccuracy because of unrealistic assumptions of complex GPR environment. In this respect full wave model (FWM) of GPR signal is a promising approach for accurate characterization of multi-layered media. However, large computation time of FWM compared to other simplified models makes the approach inefficient for real time application. In this work an FWM scheme is developed based on electric field equivalent magnetic current density at antenna phase center. The compact analytical expression of Green's function representing response due to layered media is derived. Then a plane wave model (PWM) is proposed by introducing a spreading factor based on simplified expression of the FWM. The model inversion is successfuly carried out by a gradient based algorithm. A stepped frequency continuous wave GPR in off-ground monostatic configuration is implemented in laboratory environment to verify performances of the models. Experimental analysis proves that the proposed PWM is as accurate as FWM, and its computation efficiency is enormous to detect layered media parameters.
Citation
Subrata Maiti, Sarat Kumar Patra, and Amitabha Bhattacharya, "GPR Modeling for Rapid Characterization of Layered Media," Progress In Electromagnetics Research B, Vol. 63, 217-232, 2015.
doi:10.2528/PIERB15061201
References

1. Daniels, D. J., Ground Penetrating Radar, The Institution of Engineering and Technology, 2007.

2. Annan, A., "Gprhistory, trends, and future developments," Subsurface Sensing Technologies and Applications, Vol. 3, No. 4, 253-270, 2002.
doi:10.1023/A:1020657129590        Google Scholar

3. Gentili, G. G. and U. Spagnolini, "Electromagnetic inversion in monostatic ground penetrating radar: TEM horn calibration and application," IEEE Transactions on Geoscience and Remote Sensing, Vol. 38, No. 4, 1936-1946, 2000.
doi:10.1109/36.851775        Google Scholar

4. Loizos, A. and C. Plati, "Accuracy of ground penetrating radar horn-antenna technique for sensing pavement subsurface," IEEE Sensors Journal, Vol. 7, No. 5, 842-850, 2007.
doi:10.1109/JSEN.2007.894152        Google Scholar

5. Belli, K., C. M. Rappaport, H. Zhan, and S.Wadia-Fascetti, "Effectiveness of 2-D and 2.5-D FDTD ground-penetrating radar modeling for bridge-deck deterioration evaluated by 3-D FDTD," IEEE Transactions on Geoscience and Remote Sensing, Vol. 47, No. 11, 3656-3663, 2009.
doi:10.1109/TGRS.2009.2016846        Google Scholar

6. Atteia, G. E. and K. F. A. Hussein, "Realistic model of dispersive soils using PLRC-FDTD with applications to GPR systems," Progress In Electromagnetics Research B, Vol. 26, 335-359, 2010.
doi:10.2528/PIERB10083102        Google Scholar

7. Millington, T. M. and N. J. Cassidy, "Optimising GPR modelling: A practical, multi-threaded approach to 3D FDTD numerical modelling," Computers & Geosciences, Vol. 36, No. 9, 1135-1144, 2010.
doi:10.1016/j.cageo.2009.12.006        Google Scholar

8. Warren, C. and A. Giannopoulos, "Creating finite-difference time-domain models of commercial ground-penetrating radar antennas using Taguchis optimization method," Geophysics, Vol. 76, No. 2, G37-G47, 2011.
doi:10.1190/1.3548506        Google Scholar

9. Tillard, S. and J.-C. Dubois, "Analysis of GPR data: Wave propagation velocity determination," Journal of Applied Geophysics, Vol. 33, No. 1, 77-91, 1995.
doi:10.1016/0926-9851(95)90031-4        Google Scholar

10. Liu, H., X. Xie, and M. Sato, "Accurate thickness estimation of a backfill grouting layer behind shield tunnel lining by CMP measurement using GPR," 2012 14th International Conference on Ground Penetrating Radar (GPR), 137-142, IEEE, 2012.
doi:10.1109/ICGPR.2012.6254848        Google Scholar

11. Liu, H., K. Takahashi, and M. Sato, "Measurement of dielectric permittivity and thickness of snow and ice on a brackish lagoon using gpr," IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, Vol. 7, No. 3, 820-827, 2014.
doi:10.1109/JSTARS.2013.2266792        Google Scholar

12. Huang, Z. and J. Zhang, "Estimating properties of subsurface layers from GPR spectral attributes," PIERS Proceedings, 636-639, March 25-28, Taipei, 2013.        Google Scholar

13. Huang, Z.-L. and J. Zhang, "Determination of parameters of subsurface layers using GPR spectral inversion method,", Vol. 52, No. 12, 7527-7533, 2014.        Google Scholar

14. Lambot, S., E. C. Slob, I. Van Den Bosch, B. Stockbroeckx, and M. Vanclooster, "Modeling of ground-penetrating radar for accurate characterization of subsurface electric properties," IEEE Transactions on Geoscience and Remote Sensing, Vol. 42, No. 11, 2555-2568, 2004.
doi:10.1109/TGRS.2004.834800        Google Scholar

15. Kalogeropoulos, A., J. Van Der Kruk, J. Hugenschmidt, J. Bikowski, and E. Brühwiler, "Full-waveform GPR inversion to assess chloride gradients in concrete," Ndt & E International, Vol. 57, 74-84, 2013.
doi:10.1016/j.ndteint.2013.03.003        Google Scholar

16. Jonard, F., L. Weihermller, K. Z. Jadoon, M. Schwank, H. Vereecken, and S. Lambot, "Mapping field-scale soil moisture with l-band radiometer and ground-penetrating radar over bare soil," IEEE Transactions on Geoscience and Remote Sensing, Vol. 49, No. 8, 2863-2875, 2011.
doi:10.1109/TGRS.2011.2114890        Google Scholar

17. Spagnolini, U., "Permittivity measurements of multilayered media with monostatic pulse radar," IEEE Transactions on Geoscience and Remote Sensing, Vol. 35, No. 2, 454-463, 1997.
doi:10.1109/36.563284        Google Scholar

18. Caorsi, S. and M. Stasolla, "A layer stripping approach for em reconstruction of stratified media," IEEE Transactions on Geoscience and Remote Sensing, Vol. 52, No. 9, 5855-5869, 2014.
doi:10.1109/TGRS.2013.2293533        Google Scholar

19. Ardekani, M. R. M. and S. Lambot, "Full-wave calibration of time-and frequency-domain ground-penetrating radar in far-field conditions," IEEE Transactions on Geoscience and Remote Sensing, Vol. 52, No. 1, 664-678, 2014.
doi:10.1109/TGRS.2013.2243458        Google Scholar

20. Debye, P. J. W., Polar molecules, Chemical Catalog Company, Incorporated, 1929.

21. Balanis, C. A., Antenna Theory: Analysis and Design, John Wiley & Sons, 2001.

22. Kong, J. A., Theory of Electromagnetic Waves, Vol. 1, 1975.

23. Chew, W. C., Waves and Fields in Inhomogeneous Media, IEEE Press, 1995.

24. Dural, G. and M. I. Aksun, "Closed-form Green’s functions for general sources and stratified media," IEEE Transactions on Microwave Theory and Techniques, Vol. 43, No. 7, 1545-1552, 1995.
doi:10.1109/22.392913        Google Scholar

25. Lambot, S., et al. "Hydrogeophysical characterization of soil using ground penetrating radar,", Ph.D. Dissertation, Ph. D. Thesis, Catholic Univ. of Louvain, Louvain-la-Neuve, Belgium, 2003.        Google Scholar

26. Jadoon, K. Z., S. Lambot, E. Slob, and H. Verrecken, "Investigation of the frequency dependent antenna transfer functions and phase center position for modeling off-ground GPR," 2010 13th International Conference on Ground Penetrating Radar (GPR), 1-7, IEEE, 2010.
doi:10.1109/ICGPR.2010.5550153        Google Scholar

27. Patriarca, C., M. Miorali, E. Slob, and S. Lambot, "Uncertainty quantification in off-ground monostatic ground penetrating radar," IEEE Transactions on Antennas and Propagation, Vol. 61, No. 6, 3334-3344, 2013.
doi:10.1109/TAP.2013.2251597        Google Scholar

28. Harrington, R. F., Time-harmonic Electromagnetic Fields, McGraw-Hill, 1961.