Abstract
The Application of Mathematical Models in Management of Aquifer
Highlights
Because the groundwater flow system characteristics represented in such models are always unknown to some degree, model predictions are uncertain
It is of interest to identify the particular attributes of a flow system that are most important to the relevant predictions, and to focus field characterization on these attributes.In this paper, this problem is addressed by determining the model parameters that are most important to the predictions
Data can be collected about features of the flow system that are related to the important parameters, such as the geometry and internal variability of a hydrogeological unit associated with a hydraulic conductivity parameter
Summary
Groundwater models are often developed to obtain predictions of societal importance. Such predictions might be the response of an aquifer to future groundwater pumping, or the groundwater transport of contaminants from a source location. Approaches more closely related to the work presented in this paper are those that address the collection of direct information about flow system characteristics or about hydrogeologic property values, for the purpose of improving model predictions. These approaches can be divided into two broad groups. The first group includes methods for identifying important locations for additional aquifer property measurements [e.g., McLaughlin and Wood, 1988; McKinney and Loucks, 1992; Sun and Yeh, 1992] In these studies, the simulated hydraulic conductivity fields are estimated from point measurements by some variation of kriging.
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