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dc.contributor.authorZhang, Hong
dc.contributor.authorHocking, Graeme C
dc.contributor.authorSeymour, Brian
dc.date.accessioned2017-05-03T14:30:44Z
dc.date.available2017-05-03T14:30:44Z
dc.date.issued2009
dc.date.modified2010-05-11T06:54:58Z
dc.identifier.issn0309-1708
dc.identifier.doi10.1016/j.advwatres.2009.09.002
dc.identifier.urihttp://hdl.handle.net/10072/29603
dc.description.abstractThe steady response of the interface between two fluids of different density in a bounded aquifer is considered during extraction through a line sink. Both critical and supercritical withdrawals are investigated. An analytical solution is developed to determine the interface location and withdrawal strength for critical withdrawals when only one fluid is pulled into the sink. Supercritical flows are considered in which both fluids are drawn directly into the sink. A boundary integral method is used to calculate the interface location that depends on the supercritical withdrawal rate and the aquifer configuration. It is shown that for each withdrawal rate greater than the critical value, the entry angle of the interface decreases as the withdrawal rate increases. The minimum entry angle depends on the aquifer configuration, i.e., the ratio between the sink height and the impermeable boundary height. The steepest entry angle approaches pi/2, where the interface shape approaches that given by the analytical solution for the critical rate, and the flow rate approaches the critical value. The viscosity ratio of the two fluids affects the effective withdrawal rate G. If the upper fluid is much more viscous than the lower fluid, coning is much less likely.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent711025 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherElsevier
dc.publisher.placeThe Netherlands
dc.publisher.urihttps://www.sciencedirect.com/science/article/pii/S0309170809001407
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom1703
dc.relation.ispartofpageto1710
dc.relation.ispartofissue12
dc.relation.ispartofjournalAdvances in Water Resources
dc.relation.ispartofvolume32
dc.rights.retentionY
dc.subject.fieldofresearchApplied mathematics
dc.subject.fieldofresearchNumerical solution of differential and integral equations
dc.subject.fieldofresearchCivil engineering
dc.subject.fieldofresearchWater resources engineering
dc.subject.fieldofresearchEnvironmental engineering
dc.subject.fieldofresearchcode4901
dc.subject.fieldofresearchcode490303
dc.subject.fieldofresearchcode4005
dc.subject.fieldofresearchcode400513
dc.subject.fieldofresearchcode4011
dc.titleCritical and supercritical withdrawal from a two-layer fluid through a line sink in a partially bounded aquifer
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.facultyGriffith Sciences, Griffith School of Engineering
gro.rights.copyright© 2009 Elsevier. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
gro.date.issued2009
gro.hasfulltextFull Text
gro.griffith.authorZhang, Hong


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