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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 | Source: | 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 | Keywords: | fractured porous media; upscaling; reactive transport; nonlinear transmission conditions | Document URI: | http://hdl.handle.net/1942/21498 | Link to publication/dataset: | http://www.nupus.uni-stuttgart.de/07_Preprints_Publications/Preprints/Preprints-PDFs/Preprint_201504.pdf | ISSN: | 2305-221X | DOI: | 10.1007/s10013-016-0198-7 | ISI #: | 000393860800004 | Rights: | © Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore 2016 | Category: | A1 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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Preprint_201504.pdf | Non Peer-reviewed author version | 577.12 kB | Adobe PDF | View/Open |
s10013-016-0198-7.pdf Restricted Access | Published version | 464.95 kB | Adobe PDF | View/Open Request a copy |
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