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Refinement and Coarsening Indicators for Adaptive Parameterization: Application to the Estimation of Hydraulic Transmissivities

Abstract : When estimating hydraulic transmissivity the question of parameterization is of great importance. The transmissivity is assumed to be a piecewise constant space dependent function and the unknowns are both the transmissivity values and the zonation, the partition of the domain whose parts correspond to the zones where the transmissivity is constant. Refinement and coarsening indicators, which are easy to compute from the gradient of the least squares misfit function, are introduced to construct iteratively the zonation and to prevent overparameterization.
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https://hal.inria.fr/inria-00072295
Contributor : Rapport de Recherche Inria <>
Submitted on : Tuesday, May 23, 2006 - 8:19:55 PM
Last modification on : Friday, May 25, 2018 - 12:02:03 PM
Long-term archiving on: : Sunday, April 4, 2010 - 8:40:52 PM

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  • HAL Id : inria-00072295, version 1

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Hend Ben Ameur, Guy Chavent, Jérôme Jaffré. Refinement and Coarsening Indicators for Adaptive Parameterization: Application to the Estimation of Hydraulic Transmissivities. [Research Report] RR-4292, INRIA. 2001. ⟨inria-00072295⟩

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