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Analytic solutions for interface flow in combined confined and semi-confined, coastal aquifers

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dc.contributor.author Bakker, M en
dc.date.accessioned 2014-06-06T06:46:45Z
dc.date.available 2014-06-06T06:46:45Z
dc.date.issued 2006 en
dc.identifier.issn 03091708 en
dc.identifier.uri http://dx.doi.org/10.1016/j.advwatres.2005.05.009 en
dc.identifier.uri http://62.217.125.90/xmlui/handle/123456789/3176
dc.subject Analytic solution en
dc.subject Interface flow en
dc.subject Seawater intrusion en
dc.subject Semi-confined en
dc.subject Submarine groundwater discharge en
dc.subject.other Approximation theory en
dc.subject.other Boundary layer flow en
dc.subject.other Computer simulation en
dc.subject.other Confined flow en
dc.subject.other Discharge (fluid mechanics) en
dc.subject.other Estimation en
dc.subject.other Groundwater flow en
dc.subject.other Mathematical models en
dc.subject.other Salt water intrusion en
dc.subject.other Analytic solution en
dc.subject.other Coastal aquifers en
dc.subject.other Interface flow en
dc.subject.other Aquifers en
dc.subject.other coastal aquifer en
dc.subject.other interface en
dc.subject.other porous medium en
dc.subject.other sea water en
dc.subject.other coastal aquifer en
dc.subject.other groundwater en
dc.subject.other interface en
dc.subject.other seawater en
dc.subject.other Georgia en
dc.subject.other North America en
dc.subject.other United States en
dc.title Analytic solutions for interface flow in combined confined and semi-confined, coastal aquifers en
heal.type journalArticle en
heal.identifier.primary 10.1016/j.advwatres.2005.05.009 en
heal.publicationDate 2006 en
heal.abstract Analytic solutions are presented for steady interface flow in aquifers consisting of a confined and a semi-confined section. The total discharge is constant in the confined section and is directed towards the semi-confined section, which is bounded on top by a leaky layer that separates the aquifer from the sea. All solutions are based on the Dupuit approximation. The interface position is fully determined by two dimensionless parameters. The first parameter is the product of the uniform gradient towards the sea and the dimensionless leakage factor divided by the dimensionless density difference. The second dimensionless parameter is the length of the semi-confined section divided by the leakage factor. Four types of flow are distinguished. For cases I and II the interface does not reach the end of the semi-confined section, while it does for cases III and IV. For cases I and III the interface extends into the confined section, while for cases II and IV it remains entirely in the semi-confined section. Analytic solutions are presented for the position of the interface for all four cases. Diagrams are presented to determine the type of flow and the position of the interface toe based on the two dimensionless parameters. The pre-development position of the interface along the Georgia coast is computed as an illustration of the practical application of the presented formulas. Another practical application is the estimation of how far a numerical model of seawater intrusion should be extended into the sea for accurate simulations. © 2005 Elsevier Ltd. All rights reserved. en
heal.journalName Advances in Water Resources en
dc.identifier.issue 3 en
dc.identifier.volume 29 en
dc.identifier.doi 10.1016/j.advwatres.2005.05.009 en
dc.identifier.spage 417 en
dc.identifier.epage 425 en


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