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Homogenization of Solute Transport in Unsaturated Double-Porosity Media: Model and Numerical Validation

dc.rights.licenseopenen_US
dc.contributor.authorTRAN NGOC, T.d.
dc.contributor.authorLE, N. H. N.
dc.contributor.authorTRAN, T. V.
hal.structure.identifierInstitut de Mécanique et d'Ingénierie [I2M]
dc.contributor.authorAHMADI-SENICHAULT, Azita
hal.structure.identifierInstitut de Mécanique et d'Ingénierie [I2M]
dc.contributor.authorBERTIN, Henri
IDREF: 069375607
dc.date.accessioned2020-03-19T09:38:42Z
dc.date.available2020-03-19T09:38:42Z
dc.date.issued2020
dc.identifier.issn1573-1634en_US
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/3853
dc.description.abstractEnThe development of a macroscopic model for solute transport coupled with unsaturated water flow in double-porosity media is presented in this work, by using the asymptotic homogenization method. The model was derived for the case in which the medium exhibits a strong contrast of transport properties by upscaling rigorously the transport mechanisms from micro-scale to macro-scale. It consists of two coupled equations for dispersion–convection processes at macroscopic level and diffusion intervention from local scale that can be described by a non-Fickian behaviour of solute concentration breakthrough. The proposed model was numerically implemented in the environment of a finite element code (commercial software) and applied to 2D examples with different boundary conditions. To validate, a comparative analysis between the results obtained from the homogenized model and the fine scale model (reference solution obtained from explicit heterogeneous representation of the medium structure) was carried out. The obtained numerical tool for the two-scale implementation enables treating various types of two-equation models to study the macroscopic non-Fickian transport and also non-equilibrium evolution of concentration fields inside the micro-porous medium.
dc.language.isoENen_US
dc.subject.enNon-Fickian transport
dc.subject.enDouble-porosity medium
dc.subject.enAsymptotic homogenization
dc.subject.enModelling
dc.subject.enTwo-scale numerical simulation
dc.title.enHomogenization of Solute Transport in Unsaturated Double-Porosity Media: Model and Numerical Validation
dc.typeArticle de revueen_US
dc.identifier.doi10.1007/s11242-020-01380-6en_US
dc.subject.halSciences de l'ingénieur [physics]en_US
bordeaux.journalTransport in Porous Mediaen_US
bordeaux.page53-81en_US
bordeaux.volume132en_US
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295en_US
bordeaux.institutionBordeaux INPen_US
bordeaux.institutionUniversité de Bordeauxen_US
bordeaux.peerReviewedouien_US
bordeaux.inpressnonen_US
hal.identifierhal-03000736
hal.version1
hal.date.transferred2020-11-12T08:45:09Z
hal.exporttrue
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