DYNAMICS OF FLOW IN POROUS MEDIA AND ITS CONTROL APPLIED TO OPTIMAL MANAGEMENT OF UNDERGROUND RESOURCES

TitleDYNAMICS OF FLOW IN POROUS MEDIA AND ITS CONTROL APPLIED TO OPTIMAL MANAGEMENT OF UNDERGROUND RESOURCES
Publication TypeJournal Article
Year of Publication2008
AuthorsAHMED, NU
Volume12
Issue2
Start Page221
Pagination13
Date Published2008
ISSN1083-2564
AMS34A36, 34A60, 49J24, 93C10
Abstract

We consider the control of a porous media equation described by a class of degenerate nonlinear partial differential equations. We formulate control problems for aquifers (under ground water reservoirs) and present necessary conditions of optimality. The necessary conditions involve simultaneous optimization of location of wells in aquifers and ground water extraction rate from each of the wells. The method presented also applies to optimal extraction of other underground resources.
Refereed DesignationRefereed
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REFERENCES
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