Solving unconfined groundwater flow management problems with successive linear programming
Journal or Book Title
Journal of Water Resources Planning and Management
Groundwater management models are often applied to problems in which the aquifer state is a mildly nonlinear function of managed stresses. The use of the successive linear programming algorithm to solve such problems is examined. The algorithm solves a series of linear programs, each assembled using a response matrix. At each iteration perturbation from the most recent value of the managed stresses is used to estimate response coefficients. Iterations continue until a convergence criterion is met. The algorithm is tested on a water supply problem in Antelope Valley, Calif. where large volumes of water are injected and extracted each year producing a significant nonlinear response in the unconfined aquifer. The algorithm is shown to perform well under a variety of settings.
Ahlfeld, David P. and Baro-Montes, Gemma, "Solving unconfined groundwater flow management problems with successive linear programming" (2008). Journal of Water Resources Planning and Management. 2.