Transactions of the ASAE
A distributed parameter groundwater management model utilizing quadratic programming to develop an optimal regional steady-state potentiometric surface and its sustained groundwater withdrawal strategy is presented. It minimizes the regional cost of attempting to satisfy the water needs of each finite-difference cell (a) from groundwater and diverted surface water or (b) from groundwater and reduction of water needs achieved by reducing production acreages. Groundwater elevations, withdrawal and recharge are constrained, satisfying legal and hydrologic constraints. The technique is applicable for assuring a regional sustained yield of groundwater in a conjunctive water management setting. It represents the first application of optimization in the "target objective" approach to regional groundwater management.
Peralta, R.C. and P. Killian. 1985. Optimal regional potentiometric surface design: least cost water supply/sustained groundwater yield. Transactions of the ASAE. 28(4):1098‑1107.