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Thermal Characterization of In-Situ Materials Using Modal Reduced Models

The analytical models used by commercial probes are no longer suitable for insulating materials. Indeed, these analytical laws do not allow the taking into account of the inertia of the probe and thermal flows that exist along the sensor. The solution is then to use an inverse problem technique in which a numerical model is used, in order to be able to take into account the totality of the different thermal phenomena, in an iterative process. However, in the case of configurations that require large numerical models, this type of technique can lead to very large computation times. The modal-type reduced models can efficiently decrease the computation time, without compromising the precision of the results. In order to verify the feasibility of this argument, we conducted a study where we use a modal reduced model in a measurement procedure to determine the thermal characteristics of a material by simply inserting a probe into a wall. This purely numerical study presents the influence of the order of the reduced model, the sensitivity of the probe, and the noise on the precision of the measurement.