Register      Login
Exploration Geophysics Exploration Geophysics Society
Journal of the Australian Society of Exploration Geophysicists
RESEARCH ARTICLE

Three-dimensional anisotropic inversion of resistivity tomography data in an abandoned mine area

Myeong-Jong Yi 1 2 Jung-Ho Kim 1 Jeong-Sul Son 1
+ Author Affiliations
- Author Affiliations

1 Exploration Geophysics and Mining Engineering Department, Korea Institute of Geoscience and Mineral Resources, 30 Gajeong-dong Yuseong-Gu, Daejeon 305-350, Korea.

2 Corresponding author. Email: muse@kigam.re.kr

Exploration Geophysics 42(1) 7-17 https://doi.org/10.1071/EG11005
Submitted: 1 November 2010  Accepted: 24 November 2010   Published: 25 February 2011

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.

Key words: ACB, anisotropy, resistivity tomography, safety analysis, three-dimensional.


References

Abubakar, A., and Van den Berg, P. M., 2000, Non-linear three-dimensional inversion of cross-well electrical measurements: Geophysical Prospecting, 48, 109–134
Non-linear three-dimensional inversion of cross-well electrical measurements:Crossref | GoogleScholarGoogle Scholar |

Daily, W., and Owen, E., 1991, Cross-borehole resistivity tomography: Geophysics, 56, 1228–1235
Cross-borehole resistivity tomography:Crossref | GoogleScholarGoogle Scholar |

Daily, W., and Ramirez, A. L., 1995, Electrical resistance tomography during in-situ trichloroethylene remediation at the Savannah River Site: Journal of Applied Geophysics, 33, 239–249

Daily, W., and Ramirez, A. L., 2000, Electrical imaging of engineered hydraulic barriers: Geophysics, 65, 83–94
Electrical imaging of engineered hydraulic barriers:Crossref | GoogleScholarGoogle Scholar |

Dey, A., and Morrison, H. F., 1979, Resistivity modeling for arbitrarily shaped three dimensional structures: Geophysics, 44, 753–780
Resistivity modeling for arbitrarily shaped three dimensional structures:Crossref | GoogleScholarGoogle Scholar |

Herwanger, J. V., Pain, C. C., Binley, A., de Oliveira, C. R. E., and Worthington, M. H., 2004, Anisotropic resistivity tomography: Geophysical Journal International, 158, 409–425
Anisotropic resistivity tomography:Crossref | GoogleScholarGoogle Scholar |

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.

Kim, J.-H., Cho, S.-J., Yi, M.-J., and Sato, M., 2006a, Application of anisotropy borehole radar tomography in Korea: Near Surface Geophysics, 4, 13–18

Kim, J.-H., Yi, M.-J., Cho, S.-J., Son, J.-S., and Song, W.-K., 2006b, 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
Anisotropic crosshole resistivity tomography for ground safety analysis of a high-storied building over an abandoned mine:Crossref | GoogleScholarGoogle Scholar |

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.

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.

LaBrecque, D. J., Heath, G., Sharpe, R., and Versteeg, R., 2004, Autonomous monitoring of fluid movement using 3D electrical resistivity tomography: Journal of Environmental & Engineering Geophysics, 9, 167–176
Autonomous monitoring of fluid movement using 3D electrical resistivity tomography:Crossref | GoogleScholarGoogle Scholar |

Lesur, V., Cuer, M., and Straub, A., 1999, 2D and 3D interpretation of electrical tomography measurements, Part 2: The inverse problem: Geophysics, 64, 396–402
2D and 3D interpretation of electrical tomography measurements, Part 2: The inverse problem:Crossref | GoogleScholarGoogle Scholar |

Maillol, J. M., Seguin, M.-K., Gupta, O. P., Akhauri, H. M., and Sen, N., 1999, Electrical resistivity tomography survey for delineating uncharted mine galleries in West Bengol, India: Geophysical Prospecting, 47, 103–116
Electrical resistivity tomography survey for delineating uncharted mine galleries in West Bengol, India:Crossref | GoogleScholarGoogle Scholar |

Negi, J. G., and Saraf, P. D., 1989, Anisotropy in Geoelectromagnetism: Elsevier Scientific Publishers.

Sasaki, Y., 1992, Resolution of resistivity tomography inferred from numerical simulation: Geophysical Prospecting, 40, 453–463
Resolution of resistivity tomography inferred from numerical simulation:Crossref | GoogleScholarGoogle Scholar |

Shima, H., 1992, 2D and 3D resistivity image reconstruction using crosshole data: Geophysics, 57, 1270–1281
2D and 3D resistivity image reconstruction using crosshole data:Crossref | GoogleScholarGoogle Scholar |

Slater, L., Binley, A. M., Daily, W., and Johnson, R., 2000, Crosshole electrical imaging of a controlled saline tracer injection: Journal of Applied Geophysics, 44, 85–102
Crosshole electrical imaging of a controlled saline tracer injection:Crossref | GoogleScholarGoogle Scholar |

Yi, M.-J., Kim, J.-H., Song, Y., Cho, S.-J., Chung, S.-H., and Suh, J.-H., 2001, Three-dimensional imaging of subsurface structures using resistivity data: Geophysical Prospecting, 49, 483–497
Three-dimensional imaging of subsurface structures using resistivity data:Crossref | GoogleScholarGoogle Scholar |

Yi, M.-J., Kim, J.-H., and Chung, S.-H., 2003, Enhancing the resolving power of least-squares inversion with Active Constraint Balancing: Geophysics, 68, 931–941
Enhancing the resolving power of least-squares inversion with Active Constraint Balancing:Crossref | GoogleScholarGoogle Scholar |

Yi, M.-J., Kim, J.-H., and Song, Y., 2006, Application of 3D resistivity tomography to delineate subsurface structures: Exploration Geophysics, 37, 268–277
Application of 3D resistivity tomography to delineate subsurface structures:Crossref | GoogleScholarGoogle Scholar |