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This paper proposes a theoretical modelling of the simultaneous and noninvasive measurement of electrical resistivity and dielectric permittivity,using a quadrupole probe on a subjacent medium. A mathematical-physical modelis applied on propagation of errors in the measurement of resistivity andpermittivity based on the sensitivity functions tool. The findings are alsocompared to the results of the classical method of analysis in the frequencydomain, which is useful for determining the behaviour of zero and polefrequencies in the linear time invariant (LTI) circuit of the quadrupole. Thepaper underlines that average values of electrical resistivity and dielectricpermittivity may be used to estimate the complex impedance over variousterrains and concretes, especially when they are characterized by low levels ofwater saturation (content) and analyzed within a bandwidth ranging only fromlow (LF) to middle (MF) frequencies. In order to meet the design specificationswhich ensure satisfactory performances of the probe (inaccuracy no more than10%), the forecasts provided by the sensitivity functions approach are lessstringent than those foreseen by the transfer functions method (in terms ofboth a larger band of frequency f and a wider measurable range of resistivityor permittivity).

Inaccuracy Assessment for Simultaneous Measurements of Resistivity and Permittivity applying Sensitivity and Transfer Function Approaches