Solute Transport Through Unsteady Hydrologic Systems Along a Plug Flow-To-Uniform Sampling Continuum

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dc.contributor.authorGrant, Stanley B.en
dc.contributor.authorHarman, Ciaran J.en
dc.date.accessioned2024-02-26T14:46:42Zen
dc.date.available2024-02-26T14:46:42Zen
dc.date.issued2022-08-22en
dc.description.abstractUnsteady transit time distribution (TTD) theory is a promising new approach for merging hydrologic and water quality models at the catchment scale. A major obstacle to widespread adoption of the theory, however, has been the specification of the StorAge Selection (SAS) function, which describes how the selection of water for outflow is biased by age. In this paper we hypothesize that some unsteady hydrologic systems of practical interest can be described, to first-order, by a “shifted-uniform” SAS that falls along a continuum between plug flow sampling (for which only the oldest water in storage is sampled for outflow) and uniform sampling (for which water in storage is sampled randomly for outflow). For this choice of SAS function, explicit formulae are derived for the evolving: (a) age distribution of water in storage; (b) age distribution of water in outflow; and (c) breakthrough concentration of a conservative solute under either continuous or impulsive addition. Model predictions conform closely to chloride and deuterium breakthrough curves measured previously in a sloping lysimeter subject to periodic wetting, although refinements of the model are needed to account for the reconfiguration of flow paths at high storage levels (the so-called inverse storage effect). The analytical results derived in this paper should lower the barrier to applying TTD theory in practice, ease the computational demands associated with simulating solute transport through complex hydrologic systems, and provide physical insights that might not be apparent from traditional numerical solutions of the governing equations.en
dc.description.versionPublished versionen
dc.format.extent18 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifierARTN e2022WR032038 (Article number)en
dc.identifier.doihttps://doi.org/10.1029/2022WR032038en
dc.identifier.eissn1944-7973en
dc.identifier.issn0043-1397en
dc.identifier.issue8en
dc.identifier.orcidGrant, Stanley [0000-0001-6221-7211]en
dc.identifier.urihttps://hdl.handle.net/10919/118152en
dc.identifier.volume58en
dc.language.isoenen
dc.publisherAmerican Geophysical Unionen
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjecttransit timesen
dc.subjectadvectionen
dc.subjectdispersionen
dc.subjectunsteady flowen
dc.subjectStorAgeSelectionen
dc.subjectwater qualityen
dc.titleSolute Transport Through Unsteady Hydrologic Systems Along a Plug Flow-To-Uniform Sampling Continuumen
dc.title.serialWater Resources Researchen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.otherArticleen
dc.type.otherJournalen
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/Engineeringen
pubs.organisational-group/Virginia Tech/Engineering/Civil & Environmental Engineeringen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Engineering/COE T&R Facultyen

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