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The purpose of the present paper is to propose a new approach to the problem of identifying a model structure of groundwater flow with modeling errors to be complemented on the basis of groundwater hydraulics and geostatistical theory. The optimal parameters are identified to be in best agreement between the calculated and observed hydraulic heads. The head residual by all means causes an modeling error in computed parameters because the conventional groundwater model in use is of the physically based, deterministic type. An universal and new strategy to complement all errors at the observed points is now needed. The strategy also should take the spatio-temporal estimates of the errors at the rest of the given points. This paper theoretically describes a new approach and demonstrates its effectiveness in dealing with numerical studies in a hypothetical aquifer. Finally, a mathematical procedure to select the best model subsequent to improvement of fitting imperfection is used, and its validation is then discussed.

GEOSTATISTICAL IMPROVEMNET OF IMPERFECT MODELING FOR GROUNDWATER FLOW AND SELECTION METHOD OF BEST MODELING