Abstract
It is proposed to apply a method for identifying thermal effusivity in order tomonitor the percolation of water in a soil by means of a noninteger order model.This model is expressed in the form of a linear relation connecting the fractionalderivatives of the temperature at a point of the system to the fractionalderivatives of the stress applied, namely a flux. These derivatives are replaced bytheir discrete definitions and the model coefficients are identified fromexperimental measurements by a method of linear least squares. Flux sensors areused to measure the flux and temperature simultaneously in the access plane tothe system, enabling the thermal impedance to be calculated. The study is madeup of two parts: The first part consists in establishing in the laboratory acorrelation between the effusivity and water content of a sample of groundstudied by traditional methods. The second part constitutes the in situtests, where with the flux sensors and the application of the method, theeffusivity of the ground can be estimated and thus the water content deduced.
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