The reconstruction of groundwater parameters from head data in an unconfined aquifer

  • Authors:
  • Ian Knowles;Aimin Yan

  • Affiliations:
  • Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294, USA;Department of Radiology, University of Alabama at Birmingham, Birmingham, AL 35294, USA

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2007

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Abstract

The estimation of groundwater flow parameters from head measurements and other ancillary data is fundamental to the process of modelling a groundwater system. In an unconfined aquifer, the problem is more complex because the governing equation for the well heads, the Boussinesq equation, is non-linear. We consider here a new method that allows for the simultaneous computation of the unconfined groundwater parameters as the unique minimum of a convex functional.