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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/21498

Title: Analysis and upscaling of a reactive transport model in fractured porous media with nonlinear transmission condition
Authors: Pop, Sorin
Bogers, J.
Kumar, K.
Issue Date: 2017
Citation: Vietnam Journal of Mathematics, 45 (1-2), pag. 77-102
Abstract: We consider a reactive transport model in a fractured porous medium. The particularity appears in the conditions imposed at the interface separating the block and the fracture, which involves a nonlinear transmission condition. Assuming that the fracture has thickness ε, we analyze the resulting problem and prove the convergence toward a reduced model in the limit ε↘0. The result is a model defined on an interface (the reduced fracture) and acting as a boundary condition for the equations defined in the block. Using both formal and rigorous arguments, we obtain the reduced models for different flow regimes, expressed through a moderate or a high Péclet number.
Notes: Pop, IS (reprint author), Hasselt Univ, Fac Sci, Campus Diepenbeek,Agoralaan Gebouw D, BE-3590 Diepenbeek, Belgium. sorin.pop@uhasselt.be; j.j.p.bogers@gmail.com; kundan.kumar@math.uib.no
URI: http://hdl.handle.net/1942/21498
Link to publication: http://www.nupus.uni-stuttgart.de/07_Preprints_Publications/Preprints/Preprints-PDFs/Preprint_201504.pdf
DOI: 10.1007/s10013-016-0198-7
ISI #: 000393860800004
ISSN: 2305-221X
Category: A1
Type: Journal Contribution
Appears in Collections: Research publications

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