Recovering data in groundwater: boundary conditions and Wells' positions and fluxes

摘要

In this paper, we present an original methodology for recovering boundary conditions and hydraulic parameters in an aquifer domain. Boundary data are identified from the knowledge of over-specified boundary data on another part of the boundary. Then parameters, here wells' positions and fluxes, are recovered by the use of the reciprocity principle (Andrieux and Ben Abda, Mech Res Commun 20:415-420, 1993; Andrieux and Ben Abda, Inverse Probl 12:553-564, 1996). The boundary recovering method is based on the minimization of an energy-like error functional (Andrieux et al., Inverse Probl 22:115-133; Baranger and Andrieux, 2010).