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dc.contributor.authorParlange, J.‐Y.
dc.contributor.authorHogarth, William
dc.contributor.authorRoss, P.
dc.contributor.authorParlange, M.
dc.contributor.authorSivapalan, M.
dc.contributor.authorSander, G.
dc.contributor.authorLiu, M
dc.date.accessioned2019-02-07T03:32:08Z
dc.date.available2019-02-07T03:32:08Z
dc.date.issued2000
dc.date.modified2007-04-13T08:06:54Z
dc.identifier.issn00431397
dc.identifier.doi10.1029/2000WR900126
dc.identifier.urihttp://hdl.handle.net/10072/3140
dc.description.abstractThe accuracy of the time compression analysis (TCA) is analyzed by comparison with a numerical solution. Both the standard TCA and a new modified TCA are considered for a power law diffusivity and constant surface flux. As expected, the error of the approximations decreases with increasing power, and the error of the modified TCA is about half the error of the standard TCA. In a second part, the errors of the two TCAs are measured using a simple analytical solution instead of a numerical solution. It is shown that the conclusions remain the same for the analytical and numerical solutions. The advantage of using the analytical solution is to obtain simple analytical expressions, showing the influence of parameters. This is done to estimate the maximum error of both TCAs. A practical estimate of the errors can be obtained from equations which only require knowledge of the soil water diffusivity. It appears that for real soils the errors of the TCA are always <1% and thus are a very reliable tool for practical problems. Although not studied systematically, it also appears that gravity effects reduce the errors of the TCA so that the error obtained in the absence of gravity provides a conservative estimate when gravity is present.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.languageEnglish
dc.language.isoeng
dc.publisherAmerican Geophysical Union
dc.publisher.placeUSA
dc.relation.ispartofpagefrom2401
dc.relation.ispartofpageto2406
dc.relation.ispartofissue8
dc.relation.ispartofjournalWater Resources Research
dc.relation.ispartofvolume36
dc.subject.fieldofresearchHistory and Archaeology
dc.subject.fieldofresearchPhysical Geography and Environmental Geoscience
dc.subject.fieldofresearchCivil Engineering
dc.subject.fieldofresearchEnvironmental Engineering
dc.subject.fieldofresearchcode21
dc.subject.fieldofresearchcode0406
dc.subject.fieldofresearchcode0905
dc.subject.fieldofresearchcode0907
dc.titleA note on the error analysis of time compression approximations
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
dc.description.versionVersion of Record (VoR)
gro.facultyGriffith Sciences, Griffith School of Environment
gro.rights.copyright© 2000 American Geophysical Union. The attached file is reproduced here 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.issued2000
gro.hasfulltextFull Text
gro.griffith.authorHogarth, William L.


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