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AGU: Water Resources Research

 

Keywords

  • biofilm
  • diffusion
  • mass transfer
  • Monod kinetics
  • reaction

Index Terms

  • Hydrology: Groundwater transport
  • Biogeosciences: Bioremediation
  • Hydrology: Groundwater quality
  • Hydrology: Modeling

Abstract

WATER RESOURCES RESEARCH, VOL. 42, W02416, 10 PP., 2006
doi:10.1029/2005WR004205

Equivalence of two models for biodegradation during contaminant transport in groundwater

J. A. Cunningham

Department of Civil and Environmental Engineering, University of South Florida, Tampa, Florida, USA

I. Mendoza-Sanchez

Escuela Superior de Ingeniería y Arquitectura, Instituto Politécnico Nacional, Mexico City, Mexico

We compare two models that have been used frequently for describing biodegradation during contaminant transport in groundwater. One is a “simple” model based upon macroscopic properties only, and the other is a “biofilm” model that accounts for contaminant diffusion and reaction in biofilms. Although the simple model has been used frequently, its mathematical formulation appears inadequate to describe the physics of the biodegradation process. Hence it is unclear when the simple model should be considered valid, and analyses predicated upon the simple model are called into question. We resolve this issue by arguing that the simple model should be considered valid when it is mathematically equivalent to the conceptually superior biofilm model. We demonstrate that the two models are exactly equivalent at the macroscopic scale when steady state conditions prevail. Under these conditions the equivalent macroscopic degradation rate coefficient k can be related to microscopic rate parameters that describe mass transfer across a boundary layer, diffusion within the biofilm, and reaction within the biofilm. Under transient (nonsteady state) conditions the two models are not strictly equivalent. However, the error between the two models is negligible in certain cases. In particular, when the rate-limiting step for biodegradation is either mass transfer across the boundary layer or diffusion within the biofilm, there is no distinguishable difference between the predictions of the two models. Thus this paper can be considered a theoretical foundation for use of the commonly employed simple biodegradation model as well as an elucidation of the conditions for its validity.

Received 21 April 2005; accepted 18 November 2005; published 24 February 2006.

Citation: Cunningham, J. A., and I. Mendoza-Sanchez (2006), Equivalence of two models for biodegradation during contaminant transport in groundwater, Water Resour. Res., 42, W02416, doi:10.1029/2005WR004205.

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