Mixed formulation for an easy and robust numerical computation of sorptivity

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dc.contributor.authorLassabatere, Laurenten
dc.contributor.authorPeyneau, Pierre-Emmanuelen
dc.contributor.authorYilmaz, Denizen
dc.contributor.authorPollacco, Josephen
dc.contributor.authorFernandez-Galvez, Jesusen
dc.contributor.authorLatorre, Borjaen
dc.contributor.authorMoret-Fernandez, Daviden
dc.contributor.authorDi Prima, Simoneen
dc.contributor.authorRahmati, Mehdien
dc.contributor.authorStewart, Ryan D.en
dc.contributor.authorAbou Najm, Majdien
dc.contributor.authorHammecker, Claudeen
dc.contributor.authorAngulo-Jaramillo, Rafaelen
dc.date.accessioned2023-03-22T19:00:38Zen
dc.date.available2023-03-22T19:00:38Zen
dc.date.issued2023-02-24en
dc.description.abstractSorptivity is one of the most important parameters for the quantification of water infiltration into soils. proposed a specific formulation to derive sorptivity as a function of the soil water retention and hydraulic conductivity functions, as well as initial and final soil water contents. However, this formulation requires the integration of a function involving hydraulic diffusivity, which may be undefined or present numerical difficulties that cause numerical misestimations. In this study, we propose a mixed formulation that scales sorptivity and splits the integrals into two parts: the first term involves the scaled degree of saturation, while the second involves the scaled water pressure head. The new mixed formulation is shown to be robust and well-suited to any type of hydraulic function - even with infinite hydraulic diffusivity or positive air-entry water pressure heads - and any boundary condition, including infinite initial water pressure head, h -> -infinity. Lastly, we show the benefits of using the proposed formulation for modeling water into soil with analytical models that use sorptivity.en
dc.description.notesThis research has been supported by the Agence Nationale de la Recherche (grant no. ANR-17-CE04-010).en
dc.description.sponsorshipAgence Nationale de la Recherche [ANR-17-CE04-010]en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.5194/hess-27-895-2023en
dc.identifier.eissn1607-7938en
dc.identifier.issue4en
dc.identifier.urihttp://hdl.handle.net/10919/114148en
dc.identifier.volume27en
dc.language.isoenen
dc.publisherCopernicusen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectSoil transfer parametersen
dc.subjecthydraulic conductivityen
dc.subjectwater-retentionen
dc.subjectbeerkan estimationen
dc.subjectflow equationen
dc.subjectinfiltrationen
dc.subjectmodelen
dc.subjecttimeen
dc.titleMixed formulation for an easy and robust numerical computation of sorptivityen
dc.title.serialHydrology and Earth System Sciencesen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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