Pumping management of coastal aquifers using analytical models of saltwater intrusion

Mantoglou, A

dc.contributor.author	Mantoglou, A	en
dc.date.accessioned	2014-03-01T01:19:27Z
dc.date.available	2014-03-01T01:19:27Z
dc.date.issued	2003	en
dc.identifier.issn	0043-1397	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15507
dc.subject	Aquifer management	en
dc.subject	Coastal aquifers	en
dc.subject	Pumping optimization	en
dc.subject	Saltwater intrusion	en
dc.subject.classification	Environmental Sciences	en
dc.subject.classification	Limnology	en
dc.subject.classification	Water Resources	en
dc.subject.other	Approximation theory	en
dc.subject.other	Coastal zones	en
dc.subject.other	Mathematical models	en
dc.subject.other	Problem solving	en
dc.subject.other	Quadratic programming	en
dc.subject.other	Saline water	en
dc.subject.other	Surface waters	en
dc.subject.other	Coastal aquifers	en
dc.subject.other	Aquifers	en
dc.subject.other	coastal aquifer	en
dc.subject.other	groundwater pollution	en
dc.subject.other	modeling	en
dc.subject.other	optimization	en
dc.subject.other	pumping	en
dc.subject.other	salt water	en
dc.title	Pumping management of coastal aquifers using analytical models of saltwater intrusion	en
heal.type	journalArticle	en
heal.identifier.primary	10.1029/2002WR001891	en
heal.identifier.secondary	http://dx.doi.org/10.1029/2002WR001891	en
heal.identifier.secondary	1335	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	Analytical models of saltwater intrusion in coastal aquifers of finite size are developed and utilized in an optimization methodology for determining the optimal pumping rates. The models are based on the sharp interface approximation and the Ghyben-Herzberg relation. The governing equations are expressed in terms of a single potential and are solved analytically using the method of images to account for the aquifer boundaries. The analytical models consider ambient flow and surface recharge. The results are compared to numerical simulations indicating a good match as the number of images is increased. The objective of optimization is to maximize the total pumping from the aquifer and a set of constraints protect the wells from saltwater intrusion. The constraints are expressed using the analytical saltwater intrusion models. Two different constraint formulations are investigated. The ""toe constraint"" formulation protects the wells from saltwater intrusion by not allowing the toe of the interface to reach the wells. This formulation results in a nonlinear optimization problem which is solved using sequential quadratic programming (SQP). The ""potential constraint"" formulation, on the other hand, protects the wells by maintaining a potential at the wells larger than the toe potential. This formulation results in a linear optimization problem which is solved using the Simplex method. Several simulation runs indicate that the optimal solution is very sensitive to variations of recharge rates, hydraulic conductivity heterogeneities, etc. The linear programming formulation, besides being computationally simpler, provides a safer solution than the nonlinear formulation.	en
heal.publisher	AMER GEOPHYSICAL UNION	en
heal.journalName	Water Resources Research	en
dc.identifier.doi	10.1029/2002WR001891	en
dc.identifier.isi	ISI:000187488400001	en
dc.identifier.volume	39	en
dc.identifier.issue	12	en
dc.identifier.spage	SBH51	en
dc.identifier.epage	SBH512	en