Title | Solving unconfined groundwater flow management problems with successive linear programming |
Publication Type | Journal Article |
Year of Publication | 2008 |
Authors | Ahlfeld D. P., Baro-Montes G |
Journal | Journal of Water Resources Planning and Management |
Volume | 134 |
Issue | 5 |
Start Page | 404 |
Pagination | 404-412 |
Date Published | 09/2008 |
ISSN | 0733-9496 |
Keywords | Algorithms, 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. |
DOI | 10.1061/(ASCE)0733-9496(2008)134:5(404) |