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In this paper, we propose a discussion of the theoretical design and movetowards the development and engineering of an induction probe for electricalspectroscopy which performs simultaneous and non invasive measurements on theelectrical RESistivity \rho and dielectric PERmittivity \epsilon r ofnon-saturated terrestrial ground and concretes (RESPER probe). In order todesign a RESPER which measures \rho and \epsilon r with inaccuracies below aprefixed limit (10%) in a band of low frequencies (LF) (B=100kHz), the probeshould be connected to an appropriate analogical digital converter (ADC), whichsamples in uniform or in phase and quadrature (IQ) mode, otherwise to a lock-inamplifier. The paper develops only a suitable number of numerical simulations,using Mathcad, which provide the working frequencies, the electrode-electrodedistance and the optimization of the height above ground minimizing theinaccuracies of the RESPER, in galvanic or capacitive contact with terrestrialsoils or concretes, of low or high resistivity. As findings of simulations, weunderline that the performances of a lock-in amplifier are preferable even whencompared to an IQ sampling ADC with high resolution, under the same operatingconditions. As consequences in the practical applications: if the probe isconnected to a data acquisition system (DAS) as an uniform or an IQ sampler,then it could be commercialized for companies of building and road paving,being employable for analyzing "in situ" only concretes; otherwise, if the DASis a lock-in amplifier, the marketing would be for companies of geophysicalprospecting, involved to analyze "in situ" even terrestrial soils.

Design Of An Induction Probe For Simultaneous Measurements Of Permittivity And Resistivity