1887
Volume 53, Issue 4
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

In a sedimentary environment, layered models are often capable of representing the actual geology more accurately than smooth minimum structure models. Furthermore, interval thicknesses and resistivities are often the parameters to which non‐geophysicist experts can relate and base decisions on when using them in waste site remediation, groundwater modelling and physical planning.

We present a laterally constrained inversion scheme for continuous resistivity data based on a layered earth model (1D). All 1D data sets and models are inverted as one system, producing layered sections with lateral smooth transitions. The models are regularized through laterally equal constraints that tie interface depths and resistivities of adjacent layers. Prior information, e.g. originating from electric logs, migrates through the lateral constraints to the adjacent models, making resolution of equivalences possible to some extent. Information from areas with well‐resolved parameters will migrate through the constraints in a similar way to help resolve the poorly constrained parameters. The estimated model is complemented by a full sensitivity analysis of the model parameters, supporting quantitative evaluation of the inversion result.

Examples from synthetic 2D models show that the model recognition of a sublayered 2D wedge model is improved using the laterally constrained inversion approach when compared with a section of combined 1D models and when compared with a 2D minimum structure inversion. Case histories with data from two different continuous DC systems support the conclusions drawn from the synthetic example.

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2005-06-24
2024-04-26
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References

  1. AlbouyY., AndrieuxP., RakotondrasoaG., RitzM., DescloitresM., JoinJ.‐L. and RasolomananaE.2001. Mapping coastal aquifers by joint inversion of DC and TEM soundings: Three case histories. Ground Water39, 87–97.
    [Google Scholar]
  2. AukenE. and ChristiansenA.V.2004. Layered and laterally constrained 2D inversion of resistivity data. Geophysics69, 752–761.
    [Google Scholar]
  3. AukenE., FogedN. and SørensenK.I.2002. Model recognition by 1‐D laterally constrained inversion of resistivity data. Proceedings of the New Technologies and Research Trends Session , 8th EEGS‐ES meeting, Aveiro , Portugal .
    [Google Scholar]
  4. BernstoneC. and DahlinT.1999. Assessment of two automated DC resistivity data acquisition systems for landfill location surveys: Two case studies. Journal of Environmental and Engineering Geophysics4, 113–121.
    [Google Scholar]
  5. ChristensenN.B.1990. Optimized fast Hankel transform filters. Geophysical Prospecting38, 545–568.
    [Google Scholar]
  6. ChristiansenA.V. and AukenE.2003. Optimizing the 2D laterally constrained inversion (2D‐LCI) using a quasi‐Newton method and 1D derivatives. Proceedings of the New Technologies and Research Trends Session , 9th EEGS‐ES meeting, Prague , Czech Republic .
    [Google Scholar]
  7. DahlinT.1996. 2D resistivity surveying for environmental and engineering applications. First Break14, 275–283.
    [Google Scholar]
  8. DahlinT.2001. The development of DC resistivity imaging techniques. Computers and Geosciences27, 1019–1029.
    [Google Scholar]
  9. DahlinT. and ZhouB.2004. A numerical comparison of 2D resistivity imaging with 10 electrode arrays. Geophysical Prospecting52, 379–398.
    [Google Scholar]
  10. DeyA. and MorrisonH.F.1979. Resistivity modelling for arbitrarily shaped 2‐dimensional structures. Geophysical Prospecting27, 106–136.
    [Google Scholar]
  11. DoddsA.R. and IvicD.1990. Integrated geophysical methods used for groundwater studies in the Murray Basin, South Australia. In: Geotechnical and Environmental Geophysics (ed. S.H.Ward ), Vol. 1, pp. 303–310. Investigations in Geophysics 5. Society of Exploration Geophysicists.
    [Google Scholar]
  12. FittermanD.V.1987. Examples of transient sounding for ground‐water exploration in sedimentary aquifers. Ground Water25, 684–693.
    [Google Scholar]
  13. FittermanD.V., MeekesJ.A.C. and RitsemaI.L.1988. Equivalence behaviour of three electrical sounding methods as applied to hydrogeological problems. 50th EAEG meeting, The Hague , The Netherlands , Expanded Abstracts.
  14. FogedN.2001. Laterally constrained inversion of 2‐D stochastic earth structures . MSc thesis, University of Aarhus , Denmark .
  15. GyulaiÁ. and OrmosT.1999. A new procedure for the interpretation of VES data: 1.5‐D simultaneous inversion method. Journal of Applied Geophysics64, 1–17.
    [Google Scholar]
  16. InmanJ.R.Jr, RyuJ. and WardS.H.1975. Resistivity inversion. Geophysics38, 1088–1108.
    [Google Scholar]
  17. JohansenH.K.1977. A man/computer interpretation system for resistivity soundings over a horizontally stratified earth. Geophysical Prospecting25, 667–691.
    [Google Scholar]
  18. JohansenH.K. and SørensenK.I.1979. Fast Hankel transforms. Geophysical Prospecting27, 876–901.
    [Google Scholar]
  19. LokeM.H. and BarkerR.D.1996. Rapid least‐squares inversion of apparent‐resistivity pseudosections by a quasi‐Newton method. Geophysical Prospecting44, 131–152.
    [Google Scholar]
  20. LokeM.H., AcworthI. and DahlinT.2003. A comparison of smooth and blocky inversion methods in 2‐D electrical imaging surveys. Exploration Geophysics34, 182–187.
    [Google Scholar]
  21. McGillivrayP.R.1992. Forward modeling and inversion of DC resistivity and MMR data . PhD thesis, The University of British Columbia , Vancouver , Canada .
  22. MenkeW.1989. Geophysical Data Analysis – Discrete Inverse Theory , revised edn. International Geophysics Series. Academic Press, Inc.
    [Google Scholar]
  23. OldenburgD.W. and EllisR.G.1991. Inversion of geophysical data using an approximate inverse mapping. Geophysical Journal International105, 325–353.
    [Google Scholar]
  24. OldenburgD.W. and LiY.1994. Inversion of induced polarization data. Geophysics59, 1327–1341.
    [Google Scholar]
  25. PanissodC., LajartheM. and TabbaghA.1997. Potential focusing: a new multi‐electrode array concept, simulating study, and field tests in archaeological prospecting. Geophysics38, 1–23.
    [Google Scholar]
  26. RobineauB., RitzM., CourteaudM. and DescloitresM.1997. Electromagnetic investigations of aquifers in the Grand Brulé coastal area of Piton de la Fournaise volcano, Reunion Island. Ground Water35, 585–592.
    [Google Scholar]
  27. SandbergS.K. and HallD.W.1990. Geophysical investigation of an unconsolidated coastal plain aquifer system and the underlying bedrock geology in Central New Jersey. In: Geotechnical and Environmental Geophysics (eds S.H.Ward ), Vol. 1, pp. 311–320. Investigations in Geophysics 5. Society of Exploration Geophysicists .
    [Google Scholar]
  28. SantosF.A.M.2004. 1‐D laterally constrained inversion of EM34 profiling data. Journal of Applied Geophysics56, 123–134.
    [Google Scholar]
  29. SmithJ.T. and BookerJ.R.1991. Rapid inversion of two and three‐dimensional magnetotelluric data. Journal of Geophysical Research96, 3905–3922.
    [Google Scholar]
  30. SørensenK.I.1996. Pulled array continuous electrical profiling. First Break14, 85–90.
    [Google Scholar]
  31. SørensenK.I., AukenE., ChristensenN.B. and PellerinL.2005. An Integrated Approach for Hydrogeophysical Investigations: New Technologies and a Case History . Near Surface Geophysics Vol. II: Applications and Case Histories. Society of Exploration Geophysicists , in press.
    [Google Scholar]
  32. TarantolaA. and ValetteB.1982. Generalized nonlinear inverse problems solved using a least squares criterion. Reviews of Geophysics and Space Physics20, 219–232.
    [Google Scholar]
  33. TaylorK., WidmerM. and ChesleyM.1992. Use of transient electromagnetics to define local hydrogeology in an arid alluvial environment. Geophysics57, 343–352.
    [Google Scholar]
  34. TelfordW.M., GeldartL.P. and SheriffR.E.1990. Applied Geophysics , 2nd edn. Cambridge University Press.
    [Google Scholar]
  35. Van OvermeerenR.A. and RitsemaI.L.1988. Continuous vertical electrical sounding. First Break6, 313–324.
    [Google Scholar]
  36. WardS.H. and HohmannG.W.1988. Electromagnetic theory for geophysical applications. In: Electromagnetic Methods in Applied Geophysics (ed. M.N.Nabighian ), Vol. 1(4), pp. 131–311. Society of Exploration Geophysicists.
    [Google Scholar]
  37. WisénR., AukenE. and DahlinT.2002. Comparison of 1D laterally constrained inversion and 2.5D inversion of CVES resistivity data with drilling data as a priori information. Proceedings of the New Technologies and Research Trends Session , 8th EEGS‐ES meeting, Aveiro , Portugal .
    [Google Scholar]
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