A perturbation solution for bacterial growth and bioremediation in a porous medium with bio-clogging

Michael Chapwanya; Stephen O'brien; J. F. Williams

doi:10.1016/j.cam.2010.01.024

A perturbation solution for bacterial growth and bioremediation in a porous medium with bio-clogging

Michael Chapwanya, Stephen O'brien, J. F. Williams

Department of Mathematics and Statistics

Simon Fraser University

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate a flow problem of relevance in bioremediation and develop a mathematical model for transport of contamination by groundwater and the spreading, confinement, and remediation of chemical waste. The model is based on the fluid mass and momentum balance equations and simultaneous transport and consumption of the pollutant (hydrocarbon) and nutrient (oxygen). Particular emphasis is placed on the study of processes involving the full coupling of reaction, transport and mechanical effects. Dimensional analysis and asymptotic reduction are used to simplify the governing equations, which are then solved numerically.

Original language	English
Pages (from-to)	2709-2723
Number of pages	15
Journal	Journal of Computational and Applied Mathematics
Volume	234
Issue number	9
DOIs	https://doi.org/10.1016/j.cam.2010.01.024
Publication status	Published - 1 Sep 2010

Keywords

Asymptotic analysis
Bio-clogging
Bioremediation
Free boundary
Porous flow

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1016/j.cam.2010.01.024

Cite this

@article{f680bc122fc94b09bfa52ef38d44f46c,

title = "A perturbation solution for bacterial growth and bioremediation in a porous medium with bio-clogging",

abstract = "We investigate a flow problem of relevance in bioremediation and develop a mathematical model for transport of contamination by groundwater and the spreading, confinement, and remediation of chemical waste. The model is based on the fluid mass and momentum balance equations and simultaneous transport and consumption of the pollutant (hydrocarbon) and nutrient (oxygen). Particular emphasis is placed on the study of processes involving the full coupling of reaction, transport and mechanical effects. Dimensional analysis and asymptotic reduction are used to simplify the governing equations, which are then solved numerically.",

keywords = "Asymptotic analysis, Bio-clogging, Bioremediation, Free boundary, Porous flow",

author = "Michael Chapwanya and Stephen O'brien and Williams, {J. F.}",

year = "2010",

month = sep,

day = "1",

doi = "10.1016/j.cam.2010.01.024",

language = "English",

volume = "234",

pages = "2709--2723",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

number = "9",

}

TY - JOUR

T1 - A perturbation solution for bacterial growth and bioremediation in a porous medium with bio-clogging

AU - Chapwanya, Michael

AU - O'brien, Stephen

AU - Williams, J. F.

PY - 2010/9/1

Y1 - 2010/9/1

N2 - We investigate a flow problem of relevance in bioremediation and develop a mathematical model for transport of contamination by groundwater and the spreading, confinement, and remediation of chemical waste. The model is based on the fluid mass and momentum balance equations and simultaneous transport and consumption of the pollutant (hydrocarbon) and nutrient (oxygen). Particular emphasis is placed on the study of processes involving the full coupling of reaction, transport and mechanical effects. Dimensional analysis and asymptotic reduction are used to simplify the governing equations, which are then solved numerically.

AB - We investigate a flow problem of relevance in bioremediation and develop a mathematical model for transport of contamination by groundwater and the spreading, confinement, and remediation of chemical waste. The model is based on the fluid mass and momentum balance equations and simultaneous transport and consumption of the pollutant (hydrocarbon) and nutrient (oxygen). Particular emphasis is placed on the study of processes involving the full coupling of reaction, transport and mechanical effects. Dimensional analysis and asymptotic reduction are used to simplify the governing equations, which are then solved numerically.

KW - Asymptotic analysis

KW - Bio-clogging

KW - Bioremediation

KW - Free boundary

KW - Porous flow

UR - http://www.scopus.com/inward/record.url?scp=77955279263&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2010.01.024

DO - 10.1016/j.cam.2010.01.024

M3 - Article

AN - SCOPUS:77955279263

SN - 0377-0427

VL - 234

SP - 2709

EP - 2723

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 9

ER -

A perturbation solution for bacterial growth and bioremediation in a porous medium with bio-clogging

Abstract

Keywords

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this