1887
Volume 54, Issue 3
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Laboratory measurements of various materials suggest that more information can be obtained by measuring the in‐phase and out‐of‐phase potentials at a number of frequencies. One common model used to describe the variation of the electrical properties with frequency is the Cole‐Cole model. Apart from the DC resistivity (ρ) and chargeability () parameters used in conventional induced‐polarization (IP) surveys, the Cole‐Cole model has two additional parameters, i.e. the time (τ) and relaxation () constants. Much research has been conducted on the use of the additional Cole‐Cole parameters to distinguish between different IP sources. Here, we propose a modified inversion method to recover the Cole‐Cole parameters from a 2D spectral IP (SIP) survey. In this method, an approximate inversion method is initially used to construct a non‐homogeneous starting model for the resistivity and chargeability values. The 2D model consists of a number of rectangular cells with constant resistivity (ρ), chargeability (), time (τ) and relaxation () constant values in each cell. A regularized least‐squares optimization method is then used to recover the time and relaxation constant parameters as well as to refine the chargeability values in the 2D model. We present results from tests carried out with the proposed method for a synthetic data set as well as from a laboratory tank experiment.

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2006-04-12
2024-04-19
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References

  1. ChambersJ.E., LokeM.H., OgilvyR.D. and MeldrumP.I.2004. Non‐invasive monitoring of DNAPL migration through a saturated porous medium using electrical impedance tomography. Journal of Contaminant Hydrology68, 1–22.
    [Google Scholar]
  2. DahlinT.1996. 2D resistivity surveying for environmental and engineering applications. First Break14, 275–283.
    [Google Scholar]
  3. DahlinT., BernstoneC. and LokeM.H.2002. A 3D resistivity investigation of a contaminated site at Lernacken in Sweden. Geophysics60, 1682–1690.
    [Google Scholar]
  4. DeyA. and MorrisonH.F.1979. Resistivity modelling for arbitrary shaped two‐dimensional structures. Geophysical Prospecting27, 1020–1036.
    [Google Scholar]
  5. DiasC.A.2000. Developments in a model to describe low‐frequency electrical polarization of rocks. Geophysics65, 437–451.
    [Google Scholar]
  6. GriffithsD.H. and BarkerR.D.1993. Two‐dimensional resistivity imaging and modelling in areas of complex geology. Journal of Applied Geophysics29, 211–226.
    [Google Scholar]
  7. DeGroot‐HedlinC. and ConstableS.1990. Occam's inversion to generate smooth, two‐dimensional models from magnetotelluric data. Geophysics55, 1613–1624.
    [Google Scholar]
  8. De LimaO.A.L. and AraujoF.F.S.1996. Subsurface contaminant tracking by ground‐penetrating radar and spectral induced polarization. 66th SEG Meeting, Denver , USA , Expanded Abstracts, 924–927.
  9. LokeM.H.1994. The inversion of two‐dimensional resistivity data . PhD Thesis, University of Birmingham .
    [Google Scholar]
  10. LokeM.H.2000. Topographic modelling in resistivity imaging inversion. 62nd EAGE Conference, Glasgow , Scotland , Extended Abstracts, D‐2.
  11. LokeM.H., AcworthI. and DahlinT.2003. A comparison of smooth and blocky inversion methods in 2D electrical imaging surveys. Exploration Geophysics34, 182–187.
    [Google Scholar]
  12. LokeM.H. and BarkerR.D.1995. Least‐squares deconvolution of apparent resistivity pseudosections. Geophysics60, 1682–1690.
    [Google Scholar]
  13. LokeM.H., OgilvyR.D. and BarkerR.D.2001. 2D inversion of spectral induced polarisation data. Proceedings of the 7th Meeting of the Environmental and Engineering Geophysical Society European Section , Birmingham , UK .
  14. MaurielloP. and PatellaD.1999. Resistivity anomaly imaging by probability tomography. Geophysical Prospecting47, 411–429.
    [Google Scholar]
  15. McGillivrayP.R. and OldenburgD.W.1990. Methods for calculating Frechet derivatives and sensitivities for the non‐linear inverse problem: a comparative study. Geophysical Prospecting38, 499–524.
    [Google Scholar]
  16. OldenburgD.W. and LiY.1994. Inversion of induced polarization data. Geophysics59, 1327–1341.
    [Google Scholar]
  17. PeltonW.H., WardS.H., HallofP.G., SillW.R. and NelsonP.H.1978. Mineral discrimination and the removal of inductive coupling with multifrequency IP. Geophysics43, 588–609.
    [Google Scholar]
  18. RitzM., ParisotJ.‐C., DioufS., BeauvaisA. and DioneF.1999. Electrical imaging of lateritic weathering mantles over granitic and metamorphic basement of eastern Senegal, West Africa. Journal of Applied Geophysics41, 335–344.
    [Google Scholar]
  19. RouthP.S., OldenburgD.W. and LiY.1998. Regularized inversion of spectral IP parameters from complex resistivity data. 68th SEG Meeting, New Orleans , USA , Expanded Abstracts, 810–813.
  20. SasakiY.1989. Two‐dimensional joint inversion of magnetotelluric and dipole‐dipole resistivity data. Geophysics54, 254–262.
    [Google Scholar]
  21. SilvesterP.P. and FerrariR.L.1990. Finite Elements for Electrical Engineers , 2nd edn. Cambridge University Press.
    [Google Scholar]
  22. SupperR., OberlercherG. and JochumB.1999. Application of combined resistivity and IP multielectrode‐measurements for environmental investigations. Proceedings of the 5th Meeting of the Environmental and Engineering Geophysical Society European Section , Budapest , Hungary , EM15
  23. Van VoorhisG.D., NelsonP.H. and DrakeT.L.1973. Complex resistivity spectra of porphyry copper mineralization. Geophysics38, 49–60.
    [Google Scholar]
  24. VanhalaH.1997. Mapping oil‐contaminated sand and till with the spectral induced polarization (SIP) method. Geophysical Prospecting45, 303–326.
    [Google Scholar]
  25. VanhalaH. and PeltoniemiM.1992. Spectral IP studies of Finnish ore prospects. Geophysics57, 1545–1555.
    [Google Scholar]
  26. VanhalaH., SoininenH. and KukkonenI.1992. Detecting organic chemical contaminants by spectral‐induced polarization method in glacial till environment. Geophysics57, 1014–1017.
    [Google Scholar]
  27. WeideltP. and WellerA.1997. Computation of geoelectrical configuration factors for cylindrical core samples. Scientific Drilling6, 24–27.
    [Google Scholar]
  28. WellerA., SeichterM. and KampkeA.1996. Induced‐polarization modelling using complex electrical conductivities. Geophysical Journal International127, 387–398.
    [Google Scholar]
  29. WhiteR.M.S., CollinsS., DenneR., HeeR. and BrownP.2001. A new survey design for 3D IP modelling at Copper hill. Exploration Geophysics32, 152–155.
    [Google Scholar]
  30. ZhouB. and DahlinT.2003. Properties and effects of measurement errors on 2D resistivity imaging surveying. Near Surface Geophysics1, 105–117.
    [Google Scholar]
  31. ZongeK.L. and WynnJ.C.1975. Recent advances and applications in complex resistivity measurements. Geophysics40, 851–864.
    [Google Scholar]
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