1887

Abstract

Summary

The direct problem of electrical sounding of a medium with a ground surface is solved by the Integral Equations Method. The numerical method is based on the triangulation of the computational domain, adapted to the shape of the relief and the measurements line. The numerical algorithm is tested by comparing results with the known solution for horizontally layered media and by checking the fulfillment of the "reciprocity principle". The results of simulations have also been tested in artificial physical models. Then simulations are carried out for a two-layered media with a relief of the surface. Synthetic measured data have been obtained for a 2D relief form with the underlying layer at given depth h and resistivity p2. The quantitative effects of the influence of the relief form and media parameters (depth h, resistivities p1 and p2) to the apparent resistivity curves are established. Then synthetic data are entered into 2D inversion programs. Calculations show that the apparent resistivity anomalies lead to significant distortions of the interpretation results. Modelling on the base of Integral Equations Method allows one to estimate the level of false anomalies that appear due to topography.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201702120
2017-09-03
2024-04-26
Loading full text...

Full text loading...

References

  1. Edwards, L.S.
    [1977] A modified pseudosection for resistivity and IP. Geophysics, 42, 1020–1036.
    [Google Scholar]
  2. DeyA., MorrisonH.F.
    [1979] Resistivity modeling for arbitrary shaped two-dimensional structures. Geophysical Prospecting, 27, 106–136.
    [Google Scholar]
  3. BarkerR.D.
    [1981] The offset system of electrical resistivity sounding and its use with a multicore cable, Geophysical Prospecting, 29(1), 128–143.
    [Google Scholar]
  4. [1992] A simple algorithm for electrical imaging of the subsurface. First Break, 10(2), 5362.
    [Google Scholar]
  5. GriffitsD.H. and TurnbillJ.
    [1985] A multi-electrode array for resistivity surveying. First Break, 3(7), 16–20.
    [Google Scholar]
  6. ZohdyA.A.R.
    [1989] A new method for the automatic interpretation of Schlumberger and Wenner sounding curves. Geophysics, 54(2), 245–253.
    [Google Scholar]
  7. DahlinT.
    [1996] 2D resistivity surveying for environmental and engineering applications. First Break, 14(7), 275–28.
    [Google Scholar]
  8. Dey, A., Morrison, H.F.
    [1979] Resistivity modeling for arbitrary shaped two-dimensional structures. Geophysical Prospecting, 27(1), 106–136.
    [Google Scholar]
  9. Loke, M.H. Barker, R.D.
    [1996] Rapid least-squares inversion of apparent resistivity pseudosections by a quasi- Newton method. Geophysical Prospecting, 44(1), 131–152.
    [Google Scholar]
  10. Loke, M.H.
    [2000] Topographic modelling in resistivity imaging inversion, 62nd EAGE Conference and Technical Exhibition, Extended Abstracts, Glasgow, Scotland, 29 May - 2 June 2000.
    [Google Scholar]
  11. Erdogan, E., Demirci, I., Candasayar, M.E.
    [2008] Incorporating topography into 2D resistivity modeling using finite-element and finite-difference approaches. Geophysics, 73(3), 135–142.
    [Google Scholar]
  12. Demirci, I., Erdogan, E., Candasayar, M.E.
    [2012] Two-dimensional inversion of direct current resistivity data incorporating topography by using finite difference techniques with triangle cells: Investigation of Kera fault zone in western Crete. Geophysics, 77(1) 67–75.
    [Google Scholar]
  13. Penz, S., Chauris, H., Donno, D., Mehl, C.
    [2013] Resistivity modeling with topography. Geophys. J. Int., 194, 1486–1497.
    [Google Scholar]
  14. BobachevA., ModinI., PervagoE., ShevninV.
    [1996] Multi-electrode electrical sounding in a horizontally inhomogeneous media. Exploration Geophysics. Review. JSC Geoinformmark, 2, 50 p. (In Russian)
    [Google Scholar]
  15. Modin, I., Bobachev, A.
    [2008] Electrical tomography with standard electro instruments. Exploration and protection of mineral resources, 1, 43–47. (In Russian)
    [Google Scholar]
  16. Mukanova, B., Mirgalikyzy, T.
    [2015] Modeling the Impact of Relief Boundaries in Solving the Direct Problem of Direct Current Electrical Sounding. In: DanaevN., ShokinY., DarkhanAZ. (eds) Mathematical Modeling of Technological Processes. Communications in Computer and Information Science, 549. Springer, Cham.
    [Google Scholar]
  17. Mirgalikyzy, T., Mukanova, B., Modin, I.
    [2015] Method of Integral Equations for the Problem of Electrical Tomography in a Medium with Ground Surface Relief. Journal of Applied Mathematic, http://dx.doi.org/10.1155/2015/207021.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201702120
Loading
/content/papers/10.3997/2214-4609.201702120
Loading

Data & Media loading...

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