1887
Volume 42, Issue 1
  • ISSN: 0812-3985
  • E-ISSN: 1834-7533

Abstract

We have developed an inversion code for three-dimensional (3D) resistivity tomography including the anisotropy effect. The algorithm is based on the finite element approximations for the forward modelling and Active Constraint Balancing method is adopted to enhance the resolving power of the smoothness constraint least-squares inversion. Using numerical experiments, we have shown that anisotropic inversion is viable to get an accurate image of the subsurface when the subsurface shows strong electrical anisotropy. Moreover, anisotropy can be used as additional information in the interpretation of subsurface. This algorithm was also applied to the field dataset acquired in the abandoned old mine area, where a high-rise apartment block has been built up over a mining tunnel. The main purpose of the investigation was to evaluate the safety analysis of the building due to old mining activities. Strong electrical anisotropy has been observed and it was proven to be caused by geological setting of the site. To handle the anisotropy problem, field data were inverted by a 3D anisotropic tomography algorithm and we could obtain 3D subsurface images, which matches well with geology mapping observations. The inversion results have been used to provide the subsurface model for the safety analysis in rock engineering and we could assure the residents that the apartment has no problem in its safety after the completion of investigation works.

Loading

Article metrics loading...

/content/journals/10.1071/EG11005
2011-03-01
2026-01-16
Loading full text...

Full text loading...

References

  1. Abubakar A. Van den Berg P. M. 2000 Non-linear three-dimensional inversion of cross-well electrical measurements: Geophysical Prospecting 48 109 134 10.1046/j.1365‑2478.2000.00170.x
    https://doi.org/10.1046/j.1365-2478.2000.00170.x [Google Scholar]
  2. Daily W. Owen E. 1991 Cross-borehole resistivity tomography: Geophysics 56 1228 1235 10.1190/1.1443142
    https://doi.org/10.1190/1.1443142 [Google Scholar]
  3. Daily W. Ramirez A. L. 1995 Electrical resistance tomography during in-situ trichloroethylene remediation at the Savannah River Site: Journal of Applied Geophysics 33 239 249
    [Google Scholar]
  4. Daily W. Ramirez A. L. 2000 Electrical imaging of engineered hydraulic barriers: Geophysics 65 83 94 10.1190/1.1444728
    https://doi.org/10.1190/1.1444728 [Google Scholar]
  5. Dey A. Morrison H. F. 1979 Resistivity modeling for arbitrarily shaped three dimensional structures: Geophysics 44 753 780 10.1190/1.1440975
    https://doi.org/10.1190/1.1440975 [Google Scholar]
  6. Herwanger J. V. Pain C. C. Binley A. de Oliveira C. R. E. Worthington M. H. 2004 Anisotropic resistivity tomography: Geophysical Journal International 158 409 425 10.1111/j.1365‑246X.2004.02314.x
    https://doi.org/10.1111/j.1365-246X.2004.02314.x [Google Scholar]
  7. Kim, J.-H., Yi, M.-J., and Cho, S.-J., 2004, Application of high-resolution geoelectric imaging techniques to geotechnical engineering in Korea, in Y. Ohnishi and K. Aoki, eds, Proceedings of the ISRM International Symposium, 3rd ARMS, Vol. 1, Kyoto, Japan, 191–196.
  8. Kim J.-H. Cho S.-J. Yi M.-J. Sato M. 2006 a Application of anisotropy borehole radar tomography in Korea: Near Surface Geophysics 4 13 18
    [Google Scholar]
  9. Kim J.-H. Yi M.-J. Cho S.-J. Son J.-S. Song W.-K. 2006 b Anisotropic crosshole resistivity tomography for ground safety analysis of a high-storied building over an abandoned mine: Journal of Environmental & Engineering Geophysics 11 225 235 10.2113/JEEG11.4.225
    https://doi.org/10.2113/JEEG11.4.225 [Google Scholar]
  10. LaBrecque, D. J., and Casale, D., 2002, Experience with anisotropic inversion for electrical resistivity tomography: Symposium on the Application of Geophysics to Engineering and Environmental Problems (SAGEEP 2002), 11ELE6.
  11. LaBrecque, D. J., Morelli, G., Daily, W., Ramirez, A., and Lundegard, P., 1999, Occam’s inversion of 3D electrical resistivity tomography, in M. Oristaglio and B. Spies, eds., Three-dimensional Electromagnetics, Soc. Expl. Geophys., Geophys. Dev. Series 7, 575–590.
  12. LaBrecque D. J. Heath G. Sharpe R. Versteeg R. 2004 Autonomous monitoring of fluid movement using 3D electrical resistivity tomography: Journal of Environmental & Engineering Geophysics 9 167 176 10.4133/JEEG9.3.167
    https://doi.org/10.4133/JEEG9.3.167 [Google Scholar]
  13. Lesur V. Cuer M. Straub A. 1999 2D and 3D interpretation of electrical tomography measurements, Part 2: The inverse problem: Geophysics 64 396 402 10.1190/1.1444544
    https://doi.org/10.1190/1.1444544 [Google Scholar]
  14. Maillol J. M. Seguin M.-K. Gupta O. P. Akhauri H. M. Sen N. 1999 Electrical resistivity tomography survey for delineating uncharted mine galleries in West Bengol, India: Geophysical Prospecting 47 103 116 10.1046/j.1365‑2478.1999.00126.x
    https://doi.org/10.1046/j.1365-2478.1999.00126.x [Google Scholar]
  15. Negi, J. G., and Saraf, P. D., 1989, Anisotropy in Geoelectromagnetism: Elsevier Scientific Publishers.
  16. Sasaki Y. 1992 Resolution of resistivity tomography inferred from numerical simulation: Geophysical Prospecting 40 453 463 10.1111/j.1365‑2478.1992.tb00536.x
    https://doi.org/10.1111/j.1365-2478.1992.tb00536.x [Google Scholar]
  17. Shima H. 1992 2D and 3D resistivity image reconstruction using crosshole data: Geophysics 57 1270 1281 10.1190/1.1443195
    https://doi.org/10.1190/1.1443195 [Google Scholar]
  18. Slater L. Binley A. M. Daily W. Johnson R. 2000 Crosshole electrical imaging of a controlled saline tracer injection: Journal of Applied Geophysics 44 85 102 10.1016/S0926‑9851(00)00002‑1
    https://doi.org/10.1016/S0926-9851(00)00002-1 [Google Scholar]
  19. Yi M.-J. Kim J.-H. Song Y. Cho S.-J. Chung S.-H. Suh J.-H. 2001 Three-dimensional imaging of subsurface structures using resistivity data: Geophysical Prospecting 49 483 497 10.1046/j.1365‑2478.2001.00269.x
    https://doi.org/10.1046/j.1365-2478.2001.00269.x [Google Scholar]
  20. Yi M.-J. Kim J.-H. Chung S.-H. 2003 Enhancing the resolving power of least-squares inversion with Active Constraint Balancing: Geophysics 68 931 941 10.1190/1.1581045
    https://doi.org/10.1190/1.1581045 [Google Scholar]
  21. Yi M.-J. Kim J.-H. Song Y. 2006 Application of 3D resistivity tomography to delineate subsurface structures: Exploration Geophysics 37 268 277 10.1071/EG06268
    https://doi.org/10.1071/EG06268 [Google Scholar]
/content/journals/10.1071/EG11005
Loading
/content/journals/10.1071/EG11005
Loading

Data & Media loading...

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error