Groundwater Management by Chance‐Constrained Model

Abstract
A stochastic groundwater management model for a confined, homogenous, and nonuniform aquifer is developed using the concept of response function in the linear system theory. The Cooper‐Jacob equation is used to develop the unit response function. The model explicitly considers the random nature of transmissivity and storage coefficient, which enables the determination of optimal pumping pattern in a well field subject to a specified system performance reliability requirement. A hypothetical example is utilized to demonstrate applicability of the model. Model results affected by reliability requirement and uncertainty level of aquifer parameters were examined. A post‐optimality simulation is conducted to examine the performance of the model and to further assess its usefulness.