Refinement indicators for estimating hydrogeologic parameters

Abstract

We identify simultaneously the hydraulic transmissivity and the storage coefficient in a ground water flow governed by a linear parabolic equation. Both coefficients are assumed to be functions which are piecewise constant in space and constant in time. Therefore the unknowns are the coefficient values as well as the geometry of the zones where these parameters are constant. The identification problem is formulated as the minimization of a misfit least-square function. Using refinement indicators, we refine the parameterization locally and iteratively. We distinguish the cases where the two parameters have the same parameterization or different parameterizations.

A data completion method for identifying pollution intrusion in aquifers

“…The FEFLOW, MODFLOW and SUTRA models can be called from user-defined code or from a bash file. SUTRA has already been implemented in an inverse problem solving procedure by Riahi et al 23 . We can therefore consider using them for the direct problem as suggested by Bouhlila and Hariga 14 .…”