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Optimization of the pumping schedule in aquifer remediation under uncertainty

Mathematical models of flow and transport can be incorporated into an optimization scheme to determine the most cost-effective pumping pattern and schedule, provided that the parameters of the system are known. This work presents an optimization methodology which accounts for and reduces parameter uncertainty. It is shown that cost consists of two parts: one which depends only on the best estimates and another which increases with the error in parameter estimation. A policy which minimizes the sum of the two parts is developed. The proposed methodology elucidates the dual control aspect of stochastic control, ie. the control policy (pumping schedule) optimizes the objective function by, among other things, improving the accuracy of estimation of system parameters (ie. dispersivity, transmissivity).

optimization methodology ; pumping schedule ; aquifer remediation ; uncertainty ; estimation

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