Identification of injection and extraction wells from overspecified boundary data |
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| Authors: | Wafa Mansouri Thouraya Nouri Baranger Hend Ben Ameur |
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| Affiliation: | 1. LAMSIN-ENIT, Université El Manar, Tunis, Tunisie.;2. CNRS, Université de Lyon, LaMCoS UMR5259 INSA-Lyon, Villeurbanne, France.;3. Université de Lyon, LMC2 EA7427 – Université Lyon1, Villeurbanne, France.;4. IPEST, Université de Carthage, Tunis, Tunisie. |
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| Abstract: | In this paper, we focus on the identification of wells’ positions and fluxes/flows from the knowledge of overspecified data: hydraulic head and flux, on a part of the domain boundary. The used method is based on minimizing a constitutive law gap functional. We consider two inverse problems: in the first one overspecified conditions are available throughout the entire domain boundary; in the second inverse problem, in addition to the wells, boundary condition are also unknown on an inaccessible part of the domain boundary. |
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| Keywords: | Inverse problem data completion overspecified boundary data constitutive law gap functional groundwater Wells/Sinks identification |
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