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Solving unconfined groundwater flow management problems with successive linear programming

TitleSolving unconfined groundwater flow management problems with successive linear programming
Publication TypeJournal Article
Year of Publication2008
AuthorsAhlfeld D. P., Baro-Montes G
JournalJournal of Water Resources Planning and Management
Volume134
Issue5
Start Page404
Pagination404-412
Date Published09/2008
ISSN0733-9496
KeywordsAlgorithms, Aquifers, California, Computer programming, Groundwater flow, Water supply
Abstract

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.

DOI10.1061/(ASCE)0733-9496(2008)134:5(404)