Stochastic Model for the Management of a Stream-Aquifer System

by Mohamed M. S. Hantush, Univ of California, United States,
Miguel A. Mariño, Univ of California, United States,

Abstract: The management of a system of groundwater and surface water requires that the hydraulic connection of the two sources be investigated. The inherent uncertainties that exist in the data, including aquifer parameters, boundary conditions and recharge, have motivated many researchers to consider stochastic methods in the modeling of stream-aquifer systems. The purpose of this paper is to develop a chance-constrained optimization model for a stream-aquifer system using an approximate transient drawdown equation for a well pumping near a river. The model explicitly considers the random nature of the hydraulic conductivity and specific yield of an unconfined aquifer, which enables the determination of the optimal groundwater pumping pattern and induced recharge from the stream to the aquifer under specified system performance probability requirements.

Subject Headings: Aquifers | Hydraulic models | Stochastic processes | Optimization models | Mathematical models | Hydrologic models | Groundwater management | Systems management

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