HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Conference papers

A posteriori error estimation for the estimation of parameters in a porous media

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 work is to construct an adap-tative parameterization technique guided by refinement indicators. Using refinement indicators, we build the parameterization iteratively, going from a one zone parametrization to a parametrization with m zones where m is an optimal value to identify. We distinguish the cases where the two parameters have the same parameterization and different parameterizations.
Complete list of metadata

Cited literature [8 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02926320
Contributor : Mohamed Hedi Riahi Connect in order to contact the contributor
Submitted on : Monday, August 31, 2020 - 3:56:00 PM
Last modification on : Friday, December 10, 2021 - 3:20:03 PM
Long-term archiving on: : Tuesday, December 1, 2020 - 12:47:57 PM

File

CARI2020-23.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02926320, version 1

Collections

Citation

Ben Ameur, Nizar Karrat, Mohamed Hedi Riahi. A posteriori error estimation for the estimation of parameters in a porous media. CARI 2020 - Colloque Africain sur la Recherche en Informatique et en Mathématiques Appliquées, Oct 2020, Thiès, Sénégal. ⟨hal-02926320⟩

Share

Metrics

Record views

32

Files downloads

19