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Title: | A Pore-Scale Model for Permeable Biofilm: Numerical Simulations and Laboratory Experiments | Authors: | Landa-Marbán, David Liu, Na POP, Sorin Kumar, Kundan Pettersson, Per Boedtker, Gunhild Skauge, Tormod Radu, Florin Adrian |
Issue Date: | 2019 | Source: | TRANSPORT IN POROUS MEDIA, 127(3), p. 643-660 | Abstract: | In this paper, we derive a pore-scale model for permeable biofilm formation in a two-dimensional pore. The pore is divided into two phases: water and biofilm. The biofilm is assumed to consist of four components: water, extracellular polymeric substance (EPS), active bacteria, and dead bacteria. The flow of water is modeled by the Stokes equation, whereas a diffusion–convection equation is involved for the transport of nutrients. At the biofilm–water interface, nutrient transport and shear forces due to the water flux are considered. In the biofilm, the Brinkman equation for the water flow, transport of nutrients due to diffusion and convection, displacement of the biofilm components due to reproduction/death of bacteria, and production of EPS are considered. A segregated finite element algorithm is used to solve the mathematical equations. Numerical simulations are performed based on experimentally determined parameters. The stress coefficient is fitted to the experimental data. To identify the critical model parameters, a sensitivity analysis is performed. The Sobol sensitivity indices of the input parameters are computed based on uniform perturbation by ±10% of the nominal parameter values. The sensitivity analysis confirms that the variability or uncertainty in none of the parameters should be neglected. | Notes: | Landa-Marban, D (reprint author), Univ Bergen, Dept Math, Fac Math & Nat Sci, Allegaten 41,POB 7803, N-5020 Bergen, Norway. david.marban@uib.no | Keywords: | biofilm; numerical simulations; laboratory experiments; microbial enhanced oil recovery; porosity | Document URI: | http://hdl.handle.net/1942/27550 | ISSN: | 0169-3913 | e-ISSN: | 1573-1634 | DOI: | 10.1007/s11242-018-1218-8 | ISI #: | 000461372500008 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2020 |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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UP1805.pdf | Non Peer-reviewed author version | 2.52 MB | Adobe PDF | View/Open |
Landa-Marbán2019_Article_APore-ScaleModelForPermeableBi.pdf Restricted Access | Published version | 1.46 MB | Adobe PDF | View/Open Request a copy |
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