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Optimal Design of Ground‐Water Capture Systems Using Segmental Velocity‐Direction Constraints
Author(s) -
Ratzlaff Steven A.,
Aral Mustafa M.,
AlKhayyal Faiz
Publication year - 1992
Publication title -
groundwater
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 94
eISSN - 1745-6584
pISSN - 0017-467X
DOI - 10.1111/j.1745-6584.1992.tb01537.x
Subject(s) - flow (mathematics) , mathematical optimization , aquifer , integer (computer science) , extraction (chemistry) , computer science , upper and lower bounds , groundwater , geology , algorithm , mathematics , geometry , geotechnical engineering , chemistry , mathematical analysis , chromatography , programming language
An effective means of containing contaminant plumes in regional aquifers is to regulate the ground‐water flow through extraction wells that are strategically located. In this paper, the best well locations and flow rates are determined using numerical ground‐water simulation and optimization techniques. As a first step in the analysis, the methodology utilizes a novel idea of delineating the capture zone by imposing segmental implicit velocity‐direction constraints as opposed to explicit and unilateral velocity‐direction constraints which have been proposed by others. The optimization problem that arises is a mixed‐integer linear program which is solved by standard branch and bound techniques. The overall procedure is illustrated on representative example problems.