Sustained‑yield groundwater planning by goal programming

Document Type

Article

Journal/Book Title/Conference

Groundwater

Volume

24

Issue

2

Publication Date

1986

First Page

157

Last Page

165

Abstract

A method for determining a spatially distributed set of ground‐water withdrawals that maintains a regionally “optimized” potentiometric surface is presented. A goal‐programing approach, in its quadratic form, is used to minimize the sum of squares of differences between the optimized surface and a “target” potentiometric surface. Constraints on withdrawals and recharge, imposed through a two‐dimensional ground‐water flow equation, and bounds on drawdowns assure that the withdrawal strategy developed is realistic and physically feasible. Application is demonstrated using data from the Grand Prairie region of Arkansas.

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