A mathematical model and analytical solution for the fixation of bacteria in biogrout

Journal article (2012)
Department
Delft Institute of Applied Mathematics (EEMCS) (TU Delft)
Copyright: ©2012 The Author(s). This article is published with open access at Springerlink.com
DOI: https://doi.org/doi:10.1007/s11242-011-9937-0
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Published Date

27-01-2012

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Source:

Transport in porous media, 92(3)2012

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Abstract

Biogrout is a new method for soil reinforcement, which is based on microbialinduced carbonate precipitation. Bacteria and reactants are flushed through the soil, resulting in calcium carbonate precipitation and consequent soil reinforcement. Bacteria are crucially important in the Biogrout process since they catalyse the reaction. Hence, to control the process, it is essential to know where the bacteria are located. The bacteria are possibly in suspension but can also be adsorbed or fixated on the matrix of the porous structure. In this article, a model is derived for the placement of bacteria. The model contains three phases of bacteria: bacteria in suspension, adsorbed bacteria and fixed bacteria. An analytical solution is derived for instantaneous reactions between these three phases. The analytical solution is compared to numerical simulations for finite reaction rates. For the numerical simulations the standard Galerkin Finite Element Method is used.

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