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ISSN Imprimer: 1064-2315
ISSN En ligne: 2163-9337
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Refinement of Model Parameters of Radionuclide Transport with Surface Water while Assimilation of Observational Data
RÉSUMÉ
The problem of forecast refinement and model parameters of radionuclide migration with surface water by measuring data is considered. We assume that only a priori estimations of the initial state and model parameters are known. This problem is reduced to an optimization problem with a quadratic quality functional in the vicinity of a priori estimations of the initial state and model parameters. We have proved the possibility of one-valued solvability of direct and adjoint problems for the state function of a model. Differential properties of the quality functional are investigated and the necessary conditions of its minimum are found. For weight functions of the quality functional the sufficient conditions of existence of a unique stationary point on a set of the feasible values of model parameters are obtained.