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dc.contributor.authorKnight, John
dc.contributor.authorKluitenberg, G.
dc.contributor.editorD. A. Barry
dc.date.accessioned2017-05-03T14:39:51Z
dc.date.available2017-05-03T14:39:51Z
dc.date.issued2005
dc.identifier.issn03091708
dc.identifier.doi10.1016/j.advwatres.2004.08.018
dc.identifier.urihttp://hdl.handle.net/10072/4299
dc.description.abstractThe theory of a pumping test or a slug test to measure aquifer transmissivity or storativity assumes that the aquifer properties are uniform around the well. The response of the drawdown to small spatial variations in aquifer properties in the volume of influence is determined by spatial weighting functions or Frechet kernels, which in general are functions of space and time. The Frechet kernels determine the effective "volume of influence" of the measurements at any time. Under the assumption that the well is a line sink we derive explicit analytical expressions for the Frechet kernels for storativity and for transmissivity for both pumping and slug tests. We also derive the total sensitivity functions for uniform variations in storativity and transmissivity and show that they are the spatial integrals of the Frechet kernels. We consider both the case of separate pumping and observation wells and also the radially symmetric case of observations made at the pumped or slugged well. The "volume of influence" is symmetric with respect to the pumping or slugged well and the observation well, and far from the well the contours of equal spatial sensitivity approach the shapes of ellipses with a well at each focus, rather than circles centered on the pumping well. We use the analytical solutions to investigate the nature of the singularities in the spatial sensitivity functions around the wells, which govern the importance of inhomogeneities close to the well or observation point.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.languageEnglish
dc.language.isoeng
dc.publisherPergamon Press
dc.publisher.placeOxford, UK
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom1057
dc.relation.ispartofpageto1075
dc.relation.ispartofjournalAdvances in Water Resources
dc.relation.ispartofvolume28
dc.rights.retentionN
dc.subject.fieldofresearchApplied Mathematics
dc.subject.fieldofresearchCivil Engineering
dc.subject.fieldofresearchEnvironmental Engineering
dc.subject.fieldofresearchcode0102
dc.subject.fieldofresearchcode0905
dc.subject.fieldofresearchcode0907
dc.titleSome analytical solutions for sensitivity of well tests to variations in storativity and transmissivity
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.facultyGriffith Sciences, Griffith School of Environment
gro.date.issued2015-02-02T04:16:40Z
gro.hasfulltextNo Full Text
gro.griffith.authorKnight, John


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