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The differential system method for parameter identification; unconfined aquifer case

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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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Authors and Affiliations

  1. CIMAT, A. P. 402, Callejón Jalisco S/N, 36240, Valenciana Guanajuato, GTO, Mexico

    Miguel Angel Moreles & Fernando Avila

  2. CICESE, Km. 107 Carr. Tijuana-Ensenada, 22860, Ensenada, Baja California, Mexico

    Rogelio Vázquez

Authors
  1. Miguel Angel Moreles
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  2. Rogelio Vázquez
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  3. Fernando Avila
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Moreles, M.A., Vázquez, R. & Avila, F. The differential system method for parameter identification; unconfined aquifer case. Comput Geosci 8, 235–253 (2005). https://doi.org/10.1007/s10596-005-3773-7

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  • DOI: https://doi.org/10.1007/s10596-005-3773-7

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