We present a probe factor for a simple measurement device, which can be used to determine in-situ electrical resistivity in soils or other penetrable bodies. The probe is primarily sensitive to the material immediately surrounding it and therefore is ideal for determining localized conductivities. The geometry of the probe can be scaled to effectively adjust the region of interest. The calibration, or “probe factor” is a function of the geometry, as well as the electrode configuration. Results are presented assuming a Wenner array configuration, however they can easily be extended to other geometries, such as the Schlumberger or dipole-dipole array.
References
[1]
Schnabel, W.E., Munk, J., Abichou, T., Barnes, D., Lee, W. and Pape, B. (2012) Assessing the Performance of a Cold Region Evapotranspiration Landfill Cover Using Lysimetry and Electrical Resistivity. International Journal of Phytoremediation, 14, 61-75. https://doi.org/10.1080/15226514.2011.607870
[2]
Jones, D.A. (1996) Principles and Prevention of Corrosion. 2nd Edition, Prentice Hall, Upper Saddle River.
[3]
Baishiki, R.S., Osterberg, C.K. and Dawakibi, F. (1987) Earth Resistivity Measurements Using Cylindrical Electrodes at Short Spacings. IEEE Transactions on Power Delivery, PWRD-2, 64-71. https://doi.org/10.1109/TPWRD.1987.4308074
[4]
Sherrod, L., Sauck, W. and Werkema Jr., D.D. (2011) A Low-Cost, In Situ Resistivity and Temperature Monitoring System. Ground Water Monitoring and Remediation, 32, 31-39. https://doi.org/10.1111/j.1745-6592.2011.01380.x
[5]
Wheatcroft, R.A., Stevens, A.W. and Johnson, R.V. (2007) In Situ Time-Series Measurements of Subseafloor Sediment Properties. IEEE Journal of Oceanic Engineering, 32, 862-871. https://doi.org/10.1109/JOE.2007.907927
[6]
Won, I.J. (1987) The Geometrical Factor of a Marine Resistivity Probe with Four Ring Electrodes. IEEE Journal of Oceanic Engineering, 12, 301-303. https://doi.org/10.1109/joe.1987.1145234
[7]
Loke, M.H. and Barker, R.D. (1996) Rapid Least-Squares Inversion of Apparent Resistivity Pseudo-Sections Using Quasi-Newton Method. Geophysical Prospecting, 48, 131-152. https://doi.org/10.1111/j.1365-2478.1996.tb00142.x
[8]
Zhang, G.J. and Shen, L.C. (1984) Response of a Normal Resistivity Tool in a Borehole Crossing a Bed Boundary. Geophysics, 49, 142-148. https://doi.org/10.1190/1.1441645
[9]
Tsang, L., Chan, A.K. and Gianzero, S. (1984) Solution of the Fundamental Problem in Resistivity Logging with a Hybrid Method. Geophysics, 49, 1596-1604. https://doi.org/10.1190/1.1441568
[10]
Gianzero, S. and Anderson, B. (1982) An Integral Transform Solution to the Fundamental Problem in Resistivity Logging. Geophysics, 47, 946-956. https://doi.org/10.1190/1.1441362
[11]
Wenner, F. (1915/16) A Method of Measuring Resistivity. National Bureau of Standards, Scientific Bulletin, 12, 478-496.
Koefoed, O. (1968) The Application of the Kernel Function in Interpreting Geoelectrical Resistivity Measurements. Series 1—No. 2. Gebrüder Borntraeger, Berlin.
[14]
Watson, G.N. (1962) A Treatise on the Theory of Bessel Functions. 2nd Edition, Cambridge Univ. Press, Cambridge, UK.