Discrete-continuum multiscale model for transport, biomass development and solid restructuring in porous media

Beitrag in einer Fachzeitschrift
(Originalarbeit)


Details zur Publikation

Autorinnen und Autoren: Ray N, Rupp A, Prechtel A
Zeitschrift: Advances in Water Resources
Verlag: ELSEVIER SCI LTD
Jahr der Veröffentlichung: 2017
Band: 107
Seitenbereich: 393-404
ISSN: 0309-1708


Abstract


Upscaling transport in porous media including both biomass development and simultaneous structural changes in the solid matrix is extremely challenging. This is because both affect the medium's porosity as well as mass transport parameters and flow paths. We address this challenge by means of a multiscale model. At the pore scale, the local discontinuous Galerkin (LDG) method is used to solve differential equations describing particularly the bacteria's and the nutrient's development. Likewise, a sticky agent tightening together solid or bio cells is considered. This is combined with a cellular automaton method (CAM) capturing structural changes of the underlying computational domain stemming from biomass development and solid restructuring. Findings from standard homogenization theory are applied to determine the medium's characteristic time- and space-dependent properties. Investigating these results enhances our understanding of the strong interplay between a medium's functional properties and its geometric structure. Finally, integrating such properties as model parameters into models defined on a larger scale enables reflecting the impact of pore scale processes on the larger scale. (C) 2017 Elsevier Ltd. All rights reserved.



FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Prechtel, Alexander Dr.
Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)
Ray, Nadja Dr.
Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)
Rupp, Andreas
Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)


Zitierweisen

APA:
Ray, N., Rupp, A., & Prechtel, A. (2017). Discrete-continuum multiscale model for transport, biomass development and solid restructuring in porous media. Advances in Water Resources, 107, 393-404. https://dx.doi.org/10.1016/j.advwatres.2017.04.001

MLA:
Ray, Nadja, Andreas Rupp, and Alexander Prechtel. "Discrete-continuum multiscale model for transport, biomass development and solid restructuring in porous media." Advances in Water Resources 107 (2017): 393-404.

BibTeX: 

Zuletzt aktualisiert 2018-01-07 um 11:23