|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|
|Keywords||Algorithms, Aquifers, California, Computer programming, Groundwater flow, Water supply|
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.