On the alternating current resistivity technique with the use of the Schlumberger array

摘要

Research relevance is conditioned by the need for an adequate processing of the measured data usingthe alternating current resistivity technique with harmonic time dependence for their further qualitativeand quantitative interpretation. Research aim is to determine the characteristics of simulation medium electrical resistivity precisevalues deviation from the approximate values calculated using the formulae for direct current and topropose the methods of approximate values correction by electric field intensity modular valuesmeasured with the modern production run electric exploration equipment. Research methodology includes theoretical calculations, mathematical simulation and comparativeanalysis of the obtained dependences and the parameters of the simulation. Research results. Problem statement has been substantiated under the determination of apparentelectrical resistivity of a medium when it is energized by alternating current with harmonic time dependence.Analytical expression has been acquired which determines alternating electric field intensity for symmetrical four-electrode Schlumberger array located in a homogenous conductive half-space.As applied to the modular measurements of an electric field intensity, analysis and graphs have been madeof electrical resistivity actual value deviations from the approximate value calculated using the formulaefor direct current under various model parameters and field frequency parameters. The article proposesthe methods of constructing and using the corresponding nomograms for apparent electrical resistivityapproximate values correction calculated using the formulae for stationary electric field. Summary. The obtained results can be applied when processing the data from alternating currentconductive sounding to correctly interpret the frequency effect as well as in the course of studyingpolarization properties of a medium, particularly when investigating with the frequency dispersionmethod.