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

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
LanguageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages25
StatePublished - 2015

Publication series

NameCASA-report
Volume1520
ISSN (Print)0926-4507

Fingerprint

Reactive Transport
Upscaling
Transmission Conditions
Porous Media
Reduced Model
Model
Boundary conditions

Cite this

Pop, I. S., Bogers, J. J. P., & Kumar, K. (2015). Analysis and upscaling of a reactive transport model in fractured porous media involving nonlinear a transmission condition. (CASA-report; Vol. 1520). Eindhoven: Technische Universiteit Eindhoven.
Pop, I.S. ; Bogers, J.J.P. ; Kumar, K./ Analysis and upscaling of a reactive transport model in fractured porous media involving nonlinear a transmission condition. Eindhoven : Technische Universiteit Eindhoven, 2015. 25 p. (CASA-report).
@book{a44fc3fb71d44894be75e38afccd5ce5,
title = "Analysis and upscaling of a reactive transport model in fractured porous media involving nonlinear a transmission condition",
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 P{\'e}clet number. Keywords: Fractured porous media; Upscaling; Reactive transport; Nonlinear transmission conditions",
author = "I.S. Pop and J.J.P. Bogers and K. Kumar",
year = "2015",
language = "English",
series = "CASA-report",
publisher = "Technische Universiteit Eindhoven",

}

Pop, IS, Bogers, JJP & Kumar, K 2015, Analysis and upscaling of a reactive transport model in fractured porous media involving nonlinear a transmission condition. CASA-report, vol. 1520, Technische Universiteit Eindhoven, Eindhoven.

Analysis and upscaling of a reactive transport model in fractured porous media involving nonlinear a transmission condition. / Pop, I.S.; Bogers, J.J.P.; Kumar, K.

Eindhoven : Technische Universiteit Eindhoven, 2015. 25 p. (CASA-report; Vol. 1520).

Research output: Book/ReportReportAcademic

TY - BOOK

T1 - Analysis and upscaling of a reactive transport model in fractured porous media involving nonlinear a transmission condition

AU - Pop,I.S.

AU - Bogers,J.J.P.

AU - Kumar,K.

PY - 2015

Y1 - 2015

N2 - 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

AB - 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

M3 - Report

T3 - CASA-report

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

PB - Technische Universiteit Eindhoven

CY - Eindhoven

ER -

Pop IS, Bogers JJP, Kumar K. Analysis and upscaling of a reactive transport model in fractured porous media involving nonlinear a transmission condition. Eindhoven: Technische Universiteit Eindhoven, 2015. 25 p. (CASA-report).