Mathematical model of biofilm induced calcite precipitation

Water Science and Technology

Volumn 61, Issue 11, 2010, Pages 2957-2964

  Zhang, T ^a   Klapper, I ^a  

^a MONTANA STATE UNIVERSITY   (United States)

Author keywords

Biofilm; Calcite precipitation; Mixture model; Ureolysis

Indexed keywords

CALCITE PRECIPITATION; CARBONATE PRECIPITATION; CONSERVATION OF MASS; ELECTRODIFFUSION; EXTERNAL FLOW; MIXTURE MODEL; MOMENTUM LAW; NATURAL ENVIRONMENTS; NUMERICAL SIMULATION; THREE PHASIS;

BIOFILMS; CALCITE; CARBONATE MINERALS; COMPUTER SIMULATION; MATHEMATICAL MODELS; MIXTURES;

BIOFILTERS;

CALCIUM CARBONATE;

BIOFILM; CALCITE; DIFFUSION; GIBBS FREE ENERGY; MECHANICS; MICROBIAL ACTIVITY; MOMENTUM; NUMERICAL MODEL; PRECIPITATION (CHEMISTRY); REACTION KINETICS; SOLVENT; THERMODYNAMICS;

ARTICLE; BIOFILM; DIFFUSION; DYNAMICS; ELECTROCHEMISTRY; FLUID TRANSPORT; KINETICS; MATHEMATICAL MODEL; PRECIPITATION; THERMODYNAMICS;

BIOFILMS; CALCIUM CARBONATE; CHEMICAL PRECIPITATION; KINETICS; MODELS, THEORETICAL;

EID: 77954498314     PISSN: 02731223     EISSN: None     Source Type: Journal    
DOI: 10.2166/wst.2010.064     Document Type: Article

References (22)

1. Alpkvist, E. & Klapper, I. 2007 Description of mechanical response including detachment using a novel particle model of biofilm/flow interaction. Water Sci. Technol. 55(8-9), 265-273.
2. Benini, S., Gessa, C. & Ciurli, S. 1996 Bacillus Pasteurii urease: a heteropolymeric enzyme with a binuclear nickel active site. Soil Biol. Biochem. 28, 819-821.
3. CRC 2008 Handbook of Chemistry and Physics, 88th edition. CRC Press, Taylor & Francis Group, Boca Raton, FL.
4. Doi, M. 1995 Introduction to Polymer Physics. Oxford Science Publications, Oxford.
5. Eberl, H. J., Parker, D. F. & van Loosdrecht, M. C. M. 2001 A new deterministic spatio-temporal continuum model for biofilm development. J. Theor. Med. 3, 161-175.
6. Ferris, F. G., Phoenix, V., Fujita, Y. & Smith, R. W. 2003 Kinetics of calcite precipitation induced by ureolytic bacteria at 10 to 20°C in artificial groundwater. Geochim. Cosmochim. Acta 67(8), 1701-1722.
7. Fujita, Y., Ferris, F. G., Lawson, R. D., Colwell, F. S. & Smith, R. W. 2000 Calcium carbonate precipitation by ureolytic subsurface bacteria. Geomicrobiology 17, 305-318.
8. Guermond, J. L., Minev, P. & Shen, J. 2006 An overview of projection methods for incompressible flows. Comput. Methods Appl. Mech. Engrg. 95, 6011-6045.
9. Klapper, I. & Dockery, J. 2006 Role of cohesion in material description of biofilms. Phys. Rev. E74, 031902.
10. Marini, L. 2007 Geological Sequestration of Carbon Dioxide: Thermodynamics, Kinetics and Reaction Path Modeling. Elsevier, Amsterdam, Netherlands.
11. Mitchell, A. C. & Ferris, F. G. 2005 The coprecipitation of Sr into calcite precipitates induced by bacterial ureolysis in artificial groundwater: temperature and kinetic dependence. Geochim. Cosmochim. Acta 69(17), 4199-4210.
12. 2. J. Supercrit. Fluids 47(2), 318-325.
13. Picioreanu, C., van Loosdrecht, M. C. M. & Heijnen, J. J. 1998 Mathematical modeling of biofilm structure with a hybrid differential-discrete cellular automaton approach. Biotechnol. Bioeng. 58(1), 101-116.
14. Riding, R. & Liang, L. 2005 Geobiology of microbial carbonates: metazoan and seawater saturation state influences on secular trends during the phanerozoic. Palaeogeogr. Palaeoclimatol. Palaeoecol. 219, 101-115.
15. Robinson, R. & Stokes, R. H. 1959 Electrolyte Solutions. Academic Press Inc., New York.
16. Saad, Y. & Schultz, M. H. 1986 GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7, 856-869.
17. Shaw, T., Winston, M., Rupp, C. J., Klapper, I. & Stoodley, P. 2004 Commonality of elastic relaxation times in biofilms. Phys. Rev. Lett. 93, 098102.
18. Warren, L. A., Maurice, P. A., Parmar, N. & Ferris, F. G. 2001 Microbially mediated calcium carbonate precipiration: implications for interpreting calcite precipitation and for solid-phase capture of inorganic contaminants. Geomicrobiol. J. 18, 93-115.
19. Xu, Z. & Meakin, P. 2008 Phase-field modeling of solute precipitation and dissolution. J. Chem. Phys. 129, 014705.
20. Zhang, T., Cogan, N. & Wang, Q. 2008 Phase-field models for biofilms. II. 2-D numerical simulations of biofilm-flow interaction. Commun. Comput. Phys. 4, 72-101.
21. Zhang, Y. & Dawe, R. 1998 The kinetics of calcite precipitation from a high salinity water. Appl. Geochem. 13, 177-184.
22. Zuddas, P. & Mucci, A. 1998 Kinetics of calcite precipitation from seawater: II. the influence of the ionic strength. Geochim. Cosmochim. Acta 62, 757-766.