Analysis and upscaling of a reactive transport model in fractured porous media involving nonlinear a transmission condition

I.S. Pop, J.J.P. Bogers, K. Kumar

Research output: Book/ReportReportAcademic

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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 e, we analyze the resulting problem and prove the convergence towards a reduced model in the limit e ¿ 0. The resulting 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. Keywords: Fractured porous media; Upscaling; Reactive transport; Nonlinear transmission conditions
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages25
Publication statusPublished - 2015

Publication series

NameCASA-report
Volume1520
ISSN (Print)0926-4507

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