English   español  
Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/180842
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar a otros formatos:

Evolution of a Solute Blob in Heteroge- neous Porous Media

AuthorsDentz, Marco ; F. P. J. de Barros; T. Le Borgne; D. R. Lester
KeywordsSolute transport
Issue Date2018
PublisherCambridge University Press
CitationJournal of Fluid Mechanics 853: 621-646 (2018)
AbstractWe study the mixing dynamics of solute blobs in the flow through saturated heterogeneous porous media. As the solute plume is advected through a heterogeneous porous medium it suffers a series of deformations that determine its mixing with the ambient fluid through diffusion. Key questions are the relation between the spatial disorder and the mixing dynamics and the effect of the initial solute distribution. To address these questions, we formulate the advection-diffusion problem in a coordinate system that moves and rotates along streamlines of the steady flow field. The impact of the medium heterogeneity is quantified systematically within a stochastic modelling approach. For a simple shear flow, the maximum concentration of a blob decays asymptotically as . For heterogeneous porous media, the mixing of the solute blob is determined by the random sampling of flow and deformation heterogeneity along trajectories, a mechanism different from persistent shear. We derive explicit perturbation theory expressions for stretching-enhanced solute mixing that relate the medium structure and mixing behaviour. The solution is valid for moderate heterogeneity. The random sampling of shear along trajectories leads to a decay of the maximum concentration as opposed to an equivalent homogeneous medium, for which it decays as . © 2018 Cambridge University Press.
Appears in Collections:(IDAEA) Artículos
Files in This Item:
File Description SizeFormat 
blobjfmpreprint.pdf1,3 MBAdobe PDFThumbnail
Show full item record
Review this work

Related articles:

WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.