Vol. 45 No. 2 (2023): Boletín de Geología
Artículos científicos

Electrical parameter estimation of the soil using GPR and full waveform inversion: a case study in Colombia

Jheyston Serrano-Luna
Universidad Industrial de Santander
Ana Ramírez-Silva
Universidad Industrial de Santander
Sergio Abreo-Carrillo
Universidad Industrial de Santander

Published 2023-06-15

Keywords

  • Relative permittivity,
  • Conductivity,
  • Regularizations,
  • FWI,
  • B-scan

How to Cite

Serrano-Luna, J., Ramírez-Silva, A., & Abreo-Carrillo, S. (2023). Electrical parameter estimation of the soil using GPR and full waveform inversion: a case study in Colombia. Boletín De Geología, 45(2), 131–144. https://doi.org/10.18273/revbol.v45n2-2023008

Altmetrics

Abstract

A method of Full Waveform Inversion on GPR data for the estimation of subsurface electrical properties such as relative permittivity and conductivity is proposed in this paper. The GPR radar antenna used for subsurface data acquisition is a B-scan acquisition and it operates at a center frequency of 400 MHz. B-scan acquisitions are a challenge in the subsurface parameter estimation process due to lack of illumination. In addition, B-scan acquisitions are more sensitive to the starting point in estimating subsurface parameters in comparison to multiple offset acquisitions. However, despite the challenges, this type of acquisition is used because it allows portability in areas of difficult access and quick data collection, reducing processing times and costs. In this work, Full Waveform Inversion with cost function constraints was evaluated to estimate subsurface relative permittivity and conductivity using B-scan acquisitions. The proposed methods were evaluated using data collected in a study area located in Mogotes, Santander, Colombia. From the results obtained, it can be concluded that the use of regularization in the inversion process gives smoother subsurface models, also preserving discontinuities. In addition, the incoherent noise in the data is reduced by Gaussian regularization, allowing a better interpretation of the study area.

Downloads

Download data is not yet available.

References

  1. Anagaw, A.Y.; Sacchi, M.D. (2012). Edge-preserving seismic imaging using the total variation method. Journal of Geophysics and Engineering, 9(2), 138-146. https://doi.org/10.1088/1742-2132/9/2/138
  2. Belina, F.A.; Irving, J.; Ernst, J.R.; Holliger, K. (2012). Waveform inversion of crosshole georadar data: Influence of source wavelet variability and the suitability of a single wavelet assumption. IEEE Transactions on Geoscience and Remote Sensing, 50(11), 4610-4625. https://doi.org/10.1109/TGRS.2012.2194154
  3. Blom, N.; Gokhberg, A.; Fichtner, A. (2020). Seismic waveform tomography of the central and eastern Mediterranean upper mantle. Solid Earth, 11(2), 669-690. https://doi.org/10.5194/se-11-669-2020
  4. Bunks, C.; Saleck, F.M.; Zaleski, S.; Chavent, G. (1995). Multiscale seismic waveform inversion. Geophysics, 60(5), 1457-1473. https://doi.org/10.1190/1.1443880
  5. Daniels, D.J. (2004). Ground penetrating radar. 2nd Edition. Institution of Electrical Engineers.
  6. Gao, K.; Huang, L. (2019). Acoustic-and elastic-waveform inversion with total generalized p-variation regularization. Geophysical Journal International, 218(2), 933-957. https://doi.org/10.1093/gji/ggz203
  7. Goldstein, A. (1965). On newton’s method. Numerische Mathematik, 7(5), 391-393. https://doi.org/10.1007/BF01436251
  8. Guasch, L.; Calderón-Agudo, O.; Tang, M.X.; Nachev, P.; Warner, M. (2020). Full-waveform inversión imaging of the human brain. Npj Digital Medicine, 3(1), 28. https://doi.org/10.1038/s41746-020-0240-8
  9. Jol, H.M. (2008). Ground penetrating radar theory and applications. Elsevier.
  10. Khan, U.S.; Al-Nuaimy, W. (2010). Background removal from GPR data using eigenvalues. XIII Internarional Conference on Ground Penetrating Radar, Lecce, Italy. https://doi.org/10.1109/ICGPR.2010.5550079
  11. Klotzsche, A.; Van der Kruk, J.; Meles, G.A.; Doetsch, J.; Maurer, H.; Linde, N. (2010). Full-waveform inversion of cross-hole ground-penetrating radar data to characterize a gravel aquifer close to the Thur River, Switzerland. Near Surface Geophysics, 8(6), 635-649. https://doi.org/10.3997/1873-0604.2010054
  12. Lambot, S.; Slob, E.C.; Van den Bosch, I.; Stockbroeckx, B.; Vanclooster, M. (2004). Modeling of ground-penetrating radar for accurate characterization of subsurface electric properties. IEEE Transactions on Geoscience and Remote Sensing, 42(11), 2555-2568. https://doi.org/10.1109/TGRS.2004.834800
  13. Lavoué, F. (2014). 2D full waveform inversión of ground penetrating radar data: towards multiparameter imaging from surface data. PhD thesis, Université de Grenoble.
  14. Lin, Y.; Huang, L. (2014). Acoustic-and elastic-waveform inversion using a modified total-variation regularization scheme. Geophysical Journal International, 200(1), 489-502. https://doi.org/10.1093/gji/ggu393
  15. Linde, N.; Doetsch, J.A. (2010). Joint Inversion of Crosshole GPR and Seismic Traveltime Data. In: R.D. Miller, J.H. Bradford, K. Holliger (eds). Advances in near-surface seismology and ground-penetrating radar (pp. 1-16). SEG Library. https://doi.org/10.1190/1.9781560802259.ch1
  16. Lucka, F.; Pérez-Liva, M.; Treeby, B.E.; Cox, B.T. (2021). High resolution 3D ultrasonic breast imaging by time-domain full waveform inversion. Inverse Problems, 38(2), 025008. https://doi.org/10.48550/arXiv.2102.00755
  17. Mozaffari, A.; Klotzsche, A.; Warren, C.; He, G.; Giannopoulos, A.; Vereecken, H.; Van der Kruk, J. (2020). 2.5D crosshole GPR full-waveform inversion with synthetic and measured data. Geophysics, 85(4), H71-H82. https://doi.org/10.1190/geo2019-0600.1
  18. Persico, R. (2014). Introduction to ground penetrating radar: inverse scattering and data processing. John Wiley and Sons.
  19. Rodríguez, P. (2013). Total variation regularization algorithms for images corrupted with different noise models: a review. Journal of Electrical and Computer Engineering, 217021. https://doi.org/10.1155/2013/217021
  20. Rudin, L.I.; Osher, S.; Fatemi, E. (1992). Nonlinear total variation based noise removal algorithms. Physica D: Nonlinear Phenomena, 60(1-4), 259-268. https://doi.org/10.1016/0167-2789(92)90242-F
  21. Serrano, J.O.; Ramírez, A.B.; Abreo, S.; Sadler, B.M. (2020). Alternative cost function for full waveform inversion of GPR data. Detection and Sensing of Mines, Explosive Objects, and Obscured Targets, 25. https://doi.org/10.1117/12.2558605
  22. Xue, Z.; Alger, N.; Fomel, S. (2016). Full-waveform inversion using smoothing kernels. SEG Technical Program Expanded Abstracts, Dallas, United States. https://doi.org/10.1190/segam2016-13948739.1