1887
Volume 15 Number 1
  • ISSN: 1569-4445
  • E-ISSN: 1873-0604

Abstract

ABSTRACT

The aim of this work is to present a MATLAB interface called Versatile interface for Electrical data Modelling and Inversion included in the EIDORS software. The interface is able to invert 2D and 3D electrical data acquired in the time or the frequency domain, both for cylindrical and prismatic geometries. Therefore, it can be a flexible tool for inversion of both real‐ and complex‐valued resistivity tomography data acquired in the laboratory and in the field. The forward solver has been proved to be stable and accurate through a comparison with an analytical solution, whereas the inverse solution, achieved through a Gauss‐Newton routine with an optimised damping inner loop, can be performed with the help of other useful tools incorporating information in the inversion process. The reliability of the Versatile interface for Electrical data Modelling and Inversion has been tested through a 3D laboratory example, where both time‐ and frequency‐domain data and two 3D field example with time‐domain data were acquired. The 3D laboratory example, simulating a shallow aquifer contaminated by a chlorinated solvent (hydrofluoroether), demonstrated the reliability of the Versatile interface for Electrical data Modelling and Inversion to detect the contaminant pathway within the physical model. Hydrofluoroether is clearly visible on phase and chargeability models, where the highest phase values are located underneath the spilling point, even though it remains undistinguishable in the resistivity and amplitude ones. Through the combined analysis of the inverted chargeability and phase models, we can reduce the degree of uncertainty in the interpretation of geophysical models. These results were also validated through comparison with the respective synthetic models simulated in a previous paper by the same authors. Real‐world tests have been performed on a closed landfill where few information are available about the original design and on an industrial site contaminated by chlorinated solvents. In the former case, we reconstruct a three‐layer configuration (covering, waste and bottom liner), where the effective layering inferred from the resistivity model is confirmed by the chargeability one. In the latter case, we detect the chlorinated solvents within the deeper aquifer through a combined analysis of the resistivity and chargeability models, where the very high resistivity values are associated with high chargeability.

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2016-08-01
2020-07-11
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References

  1. AdlerA. and LionheartW.2006. Uses and abuses of EIDORS: an extensible software base for EIT. Physiological Measurement27, 25–42.
    [Google Scholar]
  2. Ajo‐FranklinJ.B., GellerJ.T. and HarrisJ.M.2006. A survey of the geophysical properties of chlorinated DNAPLs. Journal of Applied Geophysics59, 177–189.
    [Google Scholar]
  3. BastosJ.P.A. and SadowskiN.2003. Electromagnetic Modeling by Finite Element Method, Electrical Engineering and Electronic Series, Vol. 117. New York, NY: Marcel Dekker.
    [Google Scholar]
  4. CardarelliE. and Di FilippoG.2009. Electrical resistivity and induced polarization tomography in identifying the plume of chlorinated hydrocarbons in sedimentary formation: a case study in Rho (Milan‐Italy). Waste Management & Research27, 595–602.
    [Google Scholar]
  5. CardarelliE. and FischangerF.2006. 2D data modelling by electrical resistivity tomography for complex subsurface geology. Geophysical Prospecting54, 121–133.
    [Google Scholar]
  6. ChengK.S., IsaacsonD. and GisserJ.N.D.1989. Electrode model for electric current computed tomography. IEEE Transactions on Biomedical Engineering36, 918–924.
    [Google Scholar]
  7. De DonnoG.2013. 2D tomographic inversion of complex resistivity data on cylindrical models. Geophysical Prospecting61, 586–601.
    [Google Scholar]
  8. De DonnoG. and CardarelliE.2014. 3D complex resistivity tomography on cylindrical models using EIDORS. Near Surface Geophysics12(5), 587–598.
    [Google Scholar]
  9. De DonnoG. and CardarelliE.2015. A flexible interface for tomo‐graphic inversion of real and complex resistivity data in EIDORS. 21st European Meeting of Environmental and Engineering Geophysics, Turin, Italy, 6–10 September.
    [Google Scholar]
  10. DeyA. and MorrisonH.F.1979. Resistivity modelling for arbitrarily shaped three‐dimensional structures. Geophysical Prospecting27, 106–136.
    [Google Scholar]
  11. Flores OrozcoA., WilliamsK.H., LongP.E., HubbardS.S. and KemnaA.2011. Using complex resistivity imaging to infer biogeochemical processes associated with bioremediation of an uranium‐contaminated aquifer. Journal of Geophysical Research: Biogeosciences, 116(G3).
    [Google Scholar]
  12. GüntherT., Rücker,C. and Spitzer,K.2006. Three‐dimensional modelling and inversion of dc resistivity data incorporating topography—II. Inversion. Geophysical Journal International166(2), 506–517.
    [Google Scholar]
  13. KaraoulisM., RevilA., TsourlosP., WerkemaD.D. and MinsleyB.J.2013. IP4DI: A software for time‐lapse 2D/3D DC‐resistivity and induced polarization tomography. Computers & Geosciences54, 164–170.
    [Google Scholar]
  14. KemnaA.2000. Tomographic inversion of complex resistivity: theory and application. PhD thesis, Ruhr‐Universität Bochum, Germany.
    [Google Scholar]
  15. KimH.J., SongY. and LeeK.H.1999. Inequality constraint in least squares inversion of geophysical data. Earth Planets Space51, 255–259.
    [Google Scholar]
  16. LokeM.H. and BarkerR.D.1996. Rapid least‐squares inversion of apparent resistivity pseudosections by a quasi‐Newton method. Geophysical Prospecting44(1), 131–152.
    [Google Scholar]
  17. OldenburgD.W. and LiY.1994. Inversion of induced polarization data. Geophysics59, 1327–1341.
    [Google Scholar]
  18. PidliseckyA., HaberE. and KnightR.2007. RESINVM3D: A 3D resistivity inversion package. Geophysics72(2), H1–H10.
    [Google Scholar]
  19. PolydoridesN. and LionheartW.2002. A Matlab toolkit for three‐dimensional electrical impedance tomography: a contribution to the Electrical Impedance and Diffuse Optical Reconstruction Software project. Physiological Measurement13, 1871–1883.
    [Google Scholar]
  20. PridmoreD., HohmannG.W., WardS.H. and SillW.1981. An investigation of finite element modeling for electrical and electromagnetic data in three dimensions. Geophysics46, 1009–1024.
    [Google Scholar]
  21. RuckerC. and GuntherT.2011. The simulation of finite ERT electrodes using the complete electrode model. Geophysics76, F227–F238.
    [Google Scholar]
  22. SeigelH.O.1959. Mathematical formulation and type curves for induced polarization. Geophysics24(3), 547–565.
    [Google Scholar]
  23. SlaterL.D. and LesmesD.2002. IP interpretation in environmental investigations. Geophysics67, 77–88.
    [Google Scholar]
  24. SomersaloE., CheneyM. and IsaacsonD.1992. Existence and uniqueness for electrode models for electric current computed tomography. SIAM Journal of Applied Mathematics52, 1023–1040.
    [Google Scholar]
  25. VauhkonenM.1997. Electrical impedance tomography and prior information. PhD thesis, University of Eastern Finland, Finland.
    [Google Scholar]
  26. VauhkonenP.J., VauhkonenM., SavolainenT. and KaipioJ.P.1999. Static three‐dimensional electrical impedance tomography. Annals of the New York Academy of Sciences873, 472–481.
    [Google Scholar]
  27. VauhkonenM., LionheartW.R.B., HeikkinenL.M., VauhkonenP.J. and KaipioJ.P.2001. A MATLAB package for the EIDORS project to reconstruct two‐dimensional EIT images. Physiological Measurement22, 107–111.
    [Google Scholar]
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