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Title: Estimation and Control of Contaminant Transport in Water Reservoirs
Keywords: optimal control, stochastic problem, inverse problem, reduced-order model, proper orthogonal decomposition
Issue Date: 22-Nov-2012
Citation: NGUYEN NGOC HIEN (2012-11-22). Estimation and Control of Contaminant Transport in Water Reservoirs. ScholarBank@NUS Repository.
Abstract: This thesis presents an end-to-end measure-invert-control strategy for a stochastic problem with application to the management of water quality in a reservoir. The strategy involves estimating uncertain contaminant source locations within a reservoir, followed by applying an optimal velocity field control to flush the contaminant out of the reservoir, while accounting for uncertainty such as wind velocity. For large-scale models, these computational simulations are expensive and time-consuming. Thus, this thesis develops a reduced-order model (ROM) that approximates the full model but provides computational speedups. Numerical results show that the ROM decreases the computational time of solution by a factor of approximately 25. The reduced-order solver is effective for solving the Bayesian inference problem and the stochastic control problem. The control actions lead to a cleaner body of water as compared to the uncontrolled case. These results suggest that the POD-based ROMs may be an effective tool for water quality management.
Appears in Collections:Ph.D Theses (Open)

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