A continuous -time solution to the inverse problem of groundwater and contaminant transport modelling
The value of time-dependent data in the calibration of numerical models of groundwater flow has been recently highlighted in the literature. In this study the theoretical aspects of a new approach to the inverse problem of groundwater modelling which implicitly incorporates the continuous time dependency of the flow model is presented. This approach is based upon the new concept of inverting the model after the (e.g. finite element) spatial discretization, but before the (typically) finite difference temporal discretization of the model, not afterwards, as has been done in the past. The approach is extended to the calibration of convection-dispersion models. ^
Major Professors: John Cushman, Purdue University, M. H. Houck, Purdue University.
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