Simulation/optimization modeling for water resources management

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Journal of Water Resources Planning and Management





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Many important advances have been made in the development of mathematical models for conjunctive water management and reservoir management. However, the conjunctive use models that have detailed stream/aquifer system interactions have not considered reservoir management rules. Conversely, reservoir management models have not simulated stream/aquifer interactions in detail. There is a need for enhanced linking of reservoir and stream/aquifer systems in conjunctive water management models. This paper presents a simulation/optimization model that integrates linear reservoir decision rules, detailed simulations of stream/aquifer system flows, conjunctive use of surface and ground water, and delivery via branching canals to water users. The linear decision rule is an example of a rule that has been widely discussed in reservoir operation literature and is simple to program. State variables, including aquifer hydraulic head, streamflow, and surface water/aquifer interflow, are represented through discretized convolution integrals and influence coefficients. Reservoir storage and branching canal flows and interflows are represented using embedded continuity equations. Results of model application to a hypothetical study area under several scenarios indicate that the more detail used to represent the physical system, the better the conjunctive management. The most detailed representation provides 13% more water than the least detailed system.

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