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On Variants of the Frequency Power Law for the Electromagnetic Characterization of Hydraulic Concrete

On Variants of the Frequency Power Law for the Electromagnetic Characterization of Hydraulic Concrete,10.1109/TIM.2011.2138210,IEEE Transactions on In

On Variants of the Frequency Power Law for the Electromagnetic Characterization of Hydraulic Concrete   (Citations: 2)
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The objective of this paper is threefold: First, dielec- tric permittivity measurements on concrete specimens are com- pared among the different variants of Jonscher's model. Each of these variants considers just a limited number of parame- ters (two or three), based on certain material-dependent and/or bandwidth-related simplifying assumptions. According to this setup, these variants affect the inherent "universality" of the model by imposing a tradeoff between representativeness and practicality. Such an effect becomes more pronounced for concrete mixtures with high moisture content. Next, we propose a com- putationally efficient two-step procedure for estimating the four model parameters; this procedure filters the linear parameters that contribute to model deviation from the frequency power law by applying the Kramers-Krönig relations. Only two parameters therefore need to be estimated numerically, whereas the filtered parameters can be estimated in closed form as the solution to a simple linear least-squares problem. All of these variants are ap- plied to an array of concrete mixtures and then evaluated by their goodness of fit. The results obtained demonstrate that accounting for all model parameters via the proposed procedure yields the smallest fitting error, thus enhancing the data interpretation stage. Moreover, a parametric study has been carried out in order to correlate the dispersion parameter n present in each variant of Jonscher's model with the physical and hydric characteristics of the concrete mixtures. This procedure has made it possible to derive trends providing information on the conditioning state of the studied media. Index Terms—Aggregate size, concrete mixtures, cylindrical transmission line, dielectric permittivity measurement, fitting error, inversion, material characterization, moisture content, porosity.
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    • ...The Jonscher’s model with four parameters (4p) constitutes an outstanding means to fit the permittivity dispersion curves [5]...
    • ...A model that proved its validity for the EM characterization of concretes on large bandwidth is the 4p variant of Jonscher’s model [5]:...
    • ...Ihamouten et al. [5] showed that 4p variant reveals no limitation over the whole EM cell frequency range, as it follows accurately the permittivity variations...

    Geraldine Villainet al. Use of frequency power law to link the results of two EM testing metho...

    • ...To that day, the measurements of the frequency variation of the complex permittivity in dispersive materials, such as concrete, could be obtained exclusively through EM cells, which require the coring of structures [2-4]...
    • ...For a rigorous modeling of radar signals including the dispersion effects, we combined the propagation constant expressed by the Jonscher’s model [4] with the generalized formulation (4)...
    • ...In [4], it was shown that the parameters () DC ε ∞ of Jonscher’s model were very insensitive to the dispersion of the material...
    • ...However, [4] showed that for EM wave propagation in dispersive media such as concrete, Q values range between 10 and 50. This result led us to develop a new Q-estimation method independent from Q value range...
    • ...dispersion curves using the 3p variant of the Jonscher’s model [4]...

    Amine Ihamoutenet al. Extraction of the frequency variation of the complex permittivity usin...

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