WWRC 86-22
Groundwater Management by Change-Constrained Model
Abstract
A stochastic groundwater management model for a confined, homogeneous,
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.
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