Indicateurs de raffinement pour une paramétrisation optimale dans l'estimation de coefficients hydrogéologiques

Abstract : We identify simultaneously storage and hydraulic transmissivity coefficients in groundwater flow governed by a linear parabolic equation. Both parameters are assumed to be functions piecewise constant in space. The unknowns are the coefficient values as well as the geometry of the zones where these coefficients are constant. This problem is formulated as minimizing a least-square function calculating the difference between measurements and the corresponding quantities computed with the current parameters values.The main point of this paper is to construct an adaptative parameterization technique guided by refinement indicators.
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Mohamed Hedi Riahi, Hend Ben Ameur, Rachida Bouhlila, Jérôme Jaffré. Indicateurs de raffinement pour une paramétrisation optimale dans l'estimation de coefficients hydrogéologiques. [Rapport de recherche] RR-8791, INRIA Paris-Rocquencourt; Université de Tunis El Manar, ENIT-LAMSIN. 2015, pp.30. ⟨hal-01254165⟩

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