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The differential system method for parameter identification; unconfined aquifer case
Moreles, M.A.; Vázquez, R.; Avila, F. (2005). The differential system method for parameter identification; unconfined aquifer case. Computational Geosciences 8(3): 235-253. https://dx.doi.org/10.1007/s10596-005-3773-7
In: Computational Geosciences. Springer: Dordrecht. ISSN 1420-0597; e-ISSN 1573-1499, more
Peer reviewed article  

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Author keywords
    inverse problem, phreatic aquifer, hydraulic conductivity, effective porosity, numerical modelling

Authors  Top 
  • Moreles, M.A., more
  • Vázquez, R.
  • Avila, F.

Abstract
    We present the applicability of differential system (DS) method for identification of hydraulic conductivity and effective porosity in a phreatic aquifer. In the original setting, the first step of the DS system is to solve an overdetermined algebraic system in the least squares sense. A natural extension of the method is to pose a least squares problem in an appropriate functional space. We show an improvement of the identification by considering the least square problem in the space of square integrable functions in the time variable for a finite interval.

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