An extension of the talbot-ogden hydrology model to an affine multi-dimensional moisture content domain

Handle URI:
http://hdl.handle.net/10754/562938
Title:
An extension of the talbot-ogden hydrology model to an affine multi-dimensional moisture content domain
Authors:
Yu, Han; Deng, Li; Douglas, Craig
Abstract:
The Talbot-Ogden hydrology model provides a fast mass conservative method to compute infiltration in unsaturated soils. As a replacement for a model based on Richards equation, it separates the groundwater movement into infiltration and redistribution for every time step. The typical feature making this method fast is the discretization of the moisture content domain rather than the spatial one. The Talbot-Ogden model rapidly determines how well ground water and aquifers are recharged only. Hence, it differs from models based on advanced reservoir modeling that are uniformly far more expensive computationally since they determine where the water moves in space instead, a completely different and more complex problem.According to the pore-size distribution curve for many soils, this paper extends the one dimensional moisture content domain into a two dimensional one by keeping the vertical spatial axis. The proposed extension can describe any pore-size or porosity distribution as an important soil feature. Based on this extension, infiltration and redistribution are restudied. The unconditional conservation of mass in the Talbot-Ogden model is inherited in this extended model. A numerical example is given for the extended model.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Publisher:
SAGE Publications
Journal:
Journal of Algorithms & Computational Technology
Issue Date:
Sep-2013
DOI:
10.1260/1748-3018.7.3.271
Type:
Article
ISSN:
17483018
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorYu, Hanen
dc.contributor.authorDeng, Lien
dc.contributor.authorDouglas, Craigen
dc.date.accessioned2015-08-03T11:16:16Zen
dc.date.available2015-08-03T11:16:16Zen
dc.date.issued2013-09en
dc.identifier.issn17483018en
dc.identifier.doi10.1260/1748-3018.7.3.271en
dc.identifier.urihttp://hdl.handle.net/10754/562938en
dc.description.abstractThe Talbot-Ogden hydrology model provides a fast mass conservative method to compute infiltration in unsaturated soils. As a replacement for a model based on Richards equation, it separates the groundwater movement into infiltration and redistribution for every time step. The typical feature making this method fast is the discretization of the moisture content domain rather than the spatial one. The Talbot-Ogden model rapidly determines how well ground water and aquifers are recharged only. Hence, it differs from models based on advanced reservoir modeling that are uniformly far more expensive computationally since they determine where the water moves in space instead, a completely different and more complex problem.According to the pore-size distribution curve for many soils, this paper extends the one dimensional moisture content domain into a two dimensional one by keeping the vertical spatial axis. The proposed extension can describe any pore-size or porosity distribution as an important soil feature. Based on this extension, infiltration and redistribution are restudied. The unconditional conservation of mass in the Talbot-Ogden model is inherited in this extended model. A numerical example is given for the extended model.en
dc.publisherSAGE Publicationsen
dc.subjectDirectional Redistributionen
dc.subjectFast Solveren
dc.subjectInfiltrationen
dc.subjectMoisture Content Domainen
dc.subjectPorosityen
dc.titleAn extension of the talbot-ogden hydrology model to an affine multi-dimensional moisture content domainen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalJournal of Algorithms & Computational Technologyen
dc.contributor.institutionDepartment of Mathematics Laramie, University of Wyoming, WY 82071-3036, United Statesen
dc.contributor.institutionSchool of Energy Resources, Mathematics Department, University of Wyoming, Laramie, WY 82071-3036, United Statesen
kaust.authorYu, Hanen
kaust.authorDeng, Lien
kaust.authorDouglas, Craigen
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