User-Friendly Mathematical Model for the Design of Sulfate Reducing Fed Bioreactors
Publication: Journal of Environmental Engineering
Volume 135, Issue 3
Abstract
This paper presents three steady-state mathematical models for the design of fed gas-lift reactors aimed at biological sulfate reduction to remove sulfate from wastewater. Models 1A and 1B are based on heterotrophic sulfate reducing bacteria (HSRB), while Model 2 is based on autotrophic sulfate reducing bacteria (ASRB) as the dominant group of sulfate reducers in the gas-lift reactor. Once the influent wastewater characteristics are known and the desired sulfate removal efficiency is fixed, all models give explicit mathematical relationships to determine the bioreactor volume and the effluent concentrations of substrates and products. The derived explicit relationships make application of the models very easy, fast, and no iterative procedures are required. Model simulations show that the size of the fed gas-lift reactors aimed at biological sulfate removal from wastewater highly depends on the number and type of trophic groups growing in the bioreactor. In particular, if the biological sulfate reduction is performed in a bioreactor where ASRB prevail, the required bioreactor volume is much smaller than that needed with HSRB. This is because ASRB can out-compete methanogenic archaea (MA) for (assuming sulfate concentrations are not limiting), whereas HSRB do not necessarily out-compete MA due to their dependence on homoacetogenic bacteria (HB) for organic carbon. The reactor sizes to reach the same sulfate removal efficiency by HSRB and ASRB are only comparable when methanogenesis is inhibited. Moreover, model results indicate that acetate supply to the reactor influent does not affect the HSRB biomass required in the reactor, but favors the dominance of MA on HB as a consequence of a lower HB requirement for acetate supply.
Get full access to this article
View all available purchase options and get full access to this article.
References
Argaman, Y. (1995). “A steady-state model for single sludge activated sludge system. I: Model description.” Water Res., 29(1), 137–145.
Brysch, K., Schneider, C., Fuchs, G., and Widdel, F. (1987). “Lithoautotrophic growth of sulfate-reducing bacteria, and description of Desulfobacterium autotrophicum gen. nov., sp. nov.” Arch. Microbiol., 148(4), 264–274.
Esposito, G., Fabbricino, M., and Pirozzi, F. (2003a). “Four substrates design model for single stage predenitrification system.” J. Environ. Eng., 129(5), 394–401.
Esposito, G., Weijma, J., Pirozzi, F., and Lens, P. N. L. (2003b). “Effect of the sludge retention time on utilization in a sulfate reducing gas-lift reactor.” Process Biochem. (Oxford, U.K.), 39(4), 491–498.
Fedorovich, V., Lens, P. N. L., and Kalyuzhnyi, S. (2003). “Extension of anaerobic digestion model No. 1 with processes of sulfate reduction.” Appl. Biochem. Biotechnol., 109(1–3), 33–45.
Gupta, A., Flora, J. R. V., Sayles, D. G., and Suidan, M. T. (1994). “Methanogenesis and sulfate reduction in chemostats. II: Model development and verification.” Water Res., 28(4), 795–803.
Henze, M., Gujer, W., Mino, T., and van Loosdrecht, M. (2000). “Activated sludge models ASM1, ASM2, ASM2d and ASM 3.” Rep. No. 9, International Water Association (IWA) Publishing, London.
Herrera, L., Hernandez, J., Bravo, L., Romo, L., and Vera, L. (1997). “Biological process for sulfate and metals abatement from mine effluents.” Environ. Toxicol. Water Qual., 12(2), 101–107.
Kalyuzhnyi, S. V., and Fedorovich, V. V. (1997). “Integrated mathematical model of UASB reactor for competition between sulphate reduction and methanogenesis.” Water Sci. Technol., 36(6), 201–208.
Kalyuzhnyi, S. V., and Fedorovich, V. V. (1998). “Mathematical modelling of competition between sulphate reduction and methanogenesis in anaerobic reactors.” Bioresour. Technol., 65(3), 227–242.
Kalyuzhnyi, S. V., Fedorovich, V. V., Lens, P. N. L., Hulshoff Pol, L. W., and Lettinga, G. (1998). “Mathematical modelling as a tool to study population dynamics between sulphate reducing and methanogenic bacteria.” Biodegradation, 9(3–4), 187–199.
Kotsyurbenko, O. R., Glagolev, M. V., Nozhevnikova, A. N., and Conrad, R. (2001). “Competition between homoacetogenic bacteria and methanogenic archaea for hydrogen at low temperature.” FEMS Microbiol. Ecol., 38(2–3), 153–159.
Lens, P. N. L., Vallero, M., Esposito, G., and Zandvoort, M. (2002). “Prospectives of sulphate reducing bioreactors in environmental biotechnology.” Rev. Environ. Sci. Biotechnol., 1(4), 311–325.
Lens, P. N. L., Visser, A., Janssen, A., Hulshoff Pol, L. W., and Lettinga, G. (1998). “Biotechnological treatment of sulfate rich wastewaters.” Crit. Rev. Environ. Sci. Technol., 28(1), 41–88.
Liamleam, W., and Annachhatre, A. P. (2007). “Electron donors for biological sulfate reduction.” Biotechnol. Adv., 25(5), 452–463.
Lokshina, L. Y., and Vavilin, V. A. (1999). “Kinetic analysis of the key stages of low temperature methanogenesis.” Ecol. Modell., 117(2–3), 285–303.
Noguera, D. R., Pizarro, G., Stahl, D. A., and Rittman, B. E. (1999). “Simulation of multispecies biofilm development in three dimensions.” Water Sci. Technol., 39(7), 123–130.
Omil, F., Lens, P. N. L., Visser, A., Hulshoff Pol, L. W., and Lettinga, G. (1998). “Long term competition between sulfate reducing and methanogenic bacteria in UASB reactors treating volatile fatty acids.” Biotechnol. Bioeng., 57(6), 676–685.
Oude Elferink, S. J. W. H., Visser, A., Hulshoff Pol, L. W., and Stams, A. J. M. (1994). “Sulfate reduction in methanogenic bioreactors.” FEMS Microbiol. Rev., 15(2–3), 119–136.
Overmeire, A., Lens, P. N. L., and Verstraete, W. (1994). “Mass transfer limitation of sulfate in methanogenic aggregates.” Biotechnol. Bioeng., 44(3), 387–391.
Ribes, J., Keesman, K., and Spanjers, H. (2004). “Modelling anaerobic biomass growth kinetics with a substrate threshold concentration.” Water Res., 38(20), 4502–4510.
Spanjers, H., Weijma, J., and Abusam, A. (2002). “Modelling of competition between sulphate reducers and methanogens in a thermophilic methanol-fed bioreactor.” Water Sci. Technol., 45(10), 93–98.
van Houten, R. T., Hulshoff Pol, L. W., and Lettinga, G. (1994). “Biological sulphate reduction using gas-lift reactors fed with hydrogen and carbone dioxide as energy and carbon source.” Biotechnol. Bioeng., 44(5), 586–594.
Vavilin, V. A., Lokshina, L. Y, Rytov, S. V., Kotsyurbenko, O. R., and Nozhevnikova, A. N. (2000). “Description of two-step kinetics in methane formation during psychrophilic and mesophilic glucose conversions.” Bioresour. Technol., 71(3), 195–209.
Vavilin, V. A., Vasilev, V. B., Rytov, S. V., and Ponomarev, A. V. (1994). “Self-oscillating coexistence of methanogens and sulfate-reducers under hydrogen sulfide inhibition and the pH-regulating effect.” Biotechnol. Bioeng., 49(2), 105–119.
Weijma, J., Gubbels, F., Hulshoff Pol, L. W., Stams, A. J. M., Lens, P. N. L., and Lettinga, G. (2002). “Competition for between sulfate reducers, methanogens and homoacetogens in a gas-lift reactor.” Water Sci. Technol., 45(10), 75–80.
Information & Authors
Information
Published In
Copyright
© 2009 ASCE.
History
Received: Jun 15, 2007
Accepted: Sep 23, 2008
Published online: Mar 1, 2009
Published in print: Mar 2009
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.