Estimation de l'intensité et de la position d'une source de polluant
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Cette étude est consacrée au problème inverse d'estimation de l'intensité et de la position d'une source de polluant. Nous inversons tout d'abord des mesures de concentration à l'intérieur d'une chambre à sable (extension des égouts souterrain) en utilisant la méthode d'identification modale pour estimer l'intensité d'émission du gaz sulfure d'hydrogène. Une approche originale est ensuite proposée pour estimer la position d'une source en utilisant la notion de transmittance entre deux capteurs. Des outils de régularisation sont utilisés afin d'estimer chaque transmittance, dont le produit de convolution avec la concentration d'un capteur choisi comme référence correspond à la réponse d'un capteur quelconque. Les transmittances estimées à partir des signaux de concentration simulés dans une configuration d'un écoulement tunnel avec source ponctuelle sont ensuite comparées à la sortie d'un modèle analytique 1D de l'équation de transport. L'utilisation d'un algorithme de minimisation non linéaire a permis d'estimer d'abord la vitesse et le coefficient de diffusion de l'écoulement et ensuite la position de la source, sous certaines hypothèses.
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