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Journal Articles Acta Mathematica Scientia Year : 2020

Parameters Identification in a Saltwater Intrusion Problem

Ji Li
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Abstract

This article is devoted to the identification, from observations or field measurements, of the hydraulic conductivity K for the saltwater intrusion problem in confined aquifer. The involved PDE model is a coupled system of nonlinear parabolic-elliptic equations completed by boundary and initial conditions. The main unknowns are the saltwater/ freshwater interface depth and the freshwater hydraulic head. The inverse problem is formulated as an optimization problem where the cost function is a least square functional measuring the discrepancy between experimental interface depths and those provided by the model. Considering the exact problem as a constraint for the optimization problem and introducing the Lagrangian associated with the cost function, we prove that the optimality system has at least one solution.
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Dates and versions

hal-04121539 , version 1 (07-06-2023)

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Ji Li, Carole Rosier. Parameters Identification in a Saltwater Intrusion Problem. Acta Mathematica Scientia, 2020, 40 (5), pp.1563-1584. ⟨10.1007/s10473-020-0522-x⟩. ⟨hal-04121539⟩
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