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Mathematical modelling as a tool to study population dynamics between sulfate reducing and methanogenic bacteria

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Abstract

The existing mathematical models of sulphate fed anaerobic reactors are reviewed. Special attention was put on pecularities of the description of sulphide inhibition and competition between sulphate reduction and methanogenesis in such systems. The paper also presents an integrated mathematical model of the functioning of a sulphate fed granular sludge reactor taking into account concentration gradients on substrates, intermediates, products and bacteria inside the reactor as well as multiple-reaction stoichiometry and kinetics. The developed model includes the following blocks: a) hydrodynamic block describing liquid flow as well as transport and distribution of the components along the reactor height; b) kinetic block including growth, metabolism, inhibition and competition of acidogenic, acetogenic, methanogenic and sulphate reducing bacteria in the system; c) physico-chemical block for calculation of pH in each compartment of the liquid phase; d) transfer block describing a mass transfer of gaseous components from the liquid to the gas phase. The integrated model was calibrated and validated using laboratory studies on the functioning of sulphidogenic granular sludge reactors, i.e. their start-up and the maximisation of sulphide yield in these reactors. The modelling of the reactor operation is supplemented with hypothetical computer simulations to illustrate the influence of engineering parameters on the operation performance and sulphate conversion of sulphidogenic reactors.

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References

  • Alphenaar PA (1994) Anaerobic granular sludge: characterisation and factor affecting its functioning. PhD thesis, Wageningen Agricultural University, the Netherlands

    Google Scholar 

  • Alphenaar PA, Visser A & Lettinga G (1993). The effect of liquid upward velocity and hydraulic retention time on granulation in UASB reactors treating waste water with a high sulphate content. Biores. Technol., 43: 249–258

    Google Scholar 

  • Andrews JF (1969) A dynamic model of the anaerobic digestion process. J. Sanit. Engin. Div. ASCE 95-SA1: 95–110

    Google Scholar 

  • Arcand Y, Chavarie C & Guiot SR (1994) Dynamic modelling of the population distribution in the anaerobic granular biofilm. Water Sci. Technol. 30(12): 63–73

    Google Scholar 

  • Binot RA, Bol T, Naveau HT & Nyns EJ (1983) Biomethanation by immobilized fluidized cells. Water Sci. Technol. 15: 103–113

    Google Scholar 

  • Bolle WL, van Breugel J, van Eybergen GC Kossen NWF & van Gils W (1986) An integral dynamic model for the UASB reactor. Biotechnol. Bioeng. 28: 1621–1636

    Google Scholar 

  • Darton RC (1985) The physical behaviour of three-phase fluidized beds. In: Davidson JF, Clift R & Harrison D (Eds) Fluidization, 2nd Edition, (pp.495–528). Academic Press, New York

    Google Scholar 

  • Desjardins B & Lessard P (1992) Modelling of anaerobic digestion process. Sci. Technol. EUA 25: 119–132

    Google Scholar 

  • Fomichev AO & Vavilin VA (1997) The reduced model of self-oscillating dynamics in an anaerobic system with sulfate reduction. Ecol. Modelling 95: 133–144

    Google Scholar 

  • Guiot SR, Pauss A & Costerton JW (1992) A structured model of the anaerobic granule consortium. Water Sci. Technol. 25(7): 1–10

    Google Scholar 

  • Gupta A, Flora JRV, Sayles GD & Suidan MT (1994) Methanogenesis and sulfate reduction in chemostats-II. Model development and verification. Water Res. 28: 795–803

    Google Scholar 

  • Hoeks FWJMM, Ten Hoopen HJG, Roels JA & Kuenen JG (1984) Anaerobic treatment of acid water (methane production in a sulphate rich environment). Progr. Ind. Microbiol. 20: 113–119

    Google Scholar 

  • Isa Z, Grusenmeyer S & Verstraete W (1986) Sulphate reduction relative to methane production in high rate anaerobic digestion: technical aspects. Appl. Environ. Microbiol. 51: 572–579

    Google Scholar 

  • Kalyuzhnyi SV (1997) Batch anaerobic digestion of glucose and its mathematical modelling. II. Description, verification and application of model. Biores. Technol. 59: 249–256

    Google Scholar 

  • Kalyuzhnyi S & Fedorovich V (1997) Integrated mathematical model of UASB reactor for competition between sulphate reduction and methanogenesis. Water Sci. Technol. 36: 01–208

    Google Scholar 

  • Kalyuzhnyi SV & Fedorovich VV (1998) Mathematical modelling of competition between sulphate reduction and methanogenesis in anaerobic reactors. Biores. Technol. 65: 227–242

    Google Scholar 

  • Kalyuzhnyi SV, de Leon Fragoso C. & Rodriguez Martinez J (1997) Biological sulphate reduction in an UASB reactor fed with ethanol as electron donor. Mikrobiologiya 66: 687–693

    Google Scholar 

  • Korn GA & Korn TM (1968) Mathematical handbook for scientists and engineers. McGrow Hill Book Company, New York, San Francisco, Toronto, London, Sydney

    Google Scholar 

  • Lens P, de Beer D, Cronenberg CCH, Houwen FP, Ottengraf SPP & Verstraete WH (1993) Heterogeneous distribution of microbial activity in methanogenic aggregates: pH ang glucose microprofiles. Appl. Environ. Microbiol. 59: 3803–3815

    Google Scholar 

  • Lens P, Visser A, Janssen A, Hulshoff Pol L & Lettinga G (1998) Biotechnological treatment of sulfate rich wastewaters. Crit. Rev. Environ. Sci. Technol. 28:41–88

    Google Scholar 

  • Lettinga G (1995) Anaerobic digestion and wastewater treatment systems. Antonie van Leeuwenhoek 67: 3–28

    Google Scholar 

  • Lettinga G, van Velsen VFM, Hobma SW, de Zeeuw WJ & Klapwijk A (1980) Use of the upflow sludge blanket (USB) reactor concept for biological wastewater treatment, especially for anaerobic treatment. Biotechnol. Bioeng. 22: 699–734

    Google Scholar 

  • McCarthy DP & Oleszkiewicz JA (1991) Sulfide inhibition of anaerobic degradation of lactate and acetate. Water Res. 25: 203–209

    Google Scholar 

  • Millne WI (1955) Numerical solution of differential equations, Inostrannaya Literatura, Moscow

    Google Scholar 

  • Mulder A (1984) The effect of high sulphate concentrations on the methane fermentation of waste water. Progr. Ind. Microbiol. 20: 133–143

    Google Scholar 

  • Narnoli SK & Mehrotra I (1997) Sludge blanket of UASB reactor: mathematical simulation. Water Res. 31: 715–726

    Google Scholar 

  • O'Flaherty V & Colleran E (1995) Microbial interactions during the anaerobic treatment of sulphate containing waste waters. Med. Fac. Landbouw Univ. Gent: 60/4b, 2669–2676

    Google Scholar 

  • Okabe S, Nielsen PH & Charaklis WG (1992) Factors effecting microbial sulfate reduction by Desulfovibrio desulfuricans in continuous culture: limiting nutrients and sulfide concentration. Biotechnol. Bioeng. 40: 725–734

    Google Scholar 

  • Omil F, Lens P, Hulshoff Pol L & Lettinga G (1996) Effect of upward velocity and sulphide concentration on volatile fatty acid degradation in a sulphidogenic granular sludge reactor. Proc. Biochem. 31: 699–710

    Google Scholar 

  • ____ (1997) Characterization of biomass from a sulphidogenic, volatile fatty acid–degrading granular sludge reactor. Enzyme Microb. Technol. 20: 229–236

    Google Scholar 

  • Omil F, Lens P, Visser A, Hulshoff Pol L. & Lettinga G (1998) Long-term competition between sulfate reducing and methanogenic bacteria in UASB reactors treating volatile fatty acids. Biotechnol. Bioeng. 57: 676–685

    Google Scholar 

  • Oude Elferink SJWH, Visser A, Hulshoff Pol L & Stams AJM (1994) Sulfate reduction in methanogenic bioreactors. FEMS Microb. Rev. 15: 119–136

    Google Scholar 

  • Overmeire A, Lens P & Verstraete W (1994) Mass transfer limitation of sulfate in methanogenic aggregates. Biotechnol. Bioeng. 44: 387–391

    Google Scholar 

  • Parkin GF, Lynch NA, Kuo W-C, Van Keuren EL & Bhattacharya SK (1990) Interaction between sulfate reducers and methanogens fed acetate and propionate. J. WPCF 62: 780–788

    Google Scholar 

  • Rabinovich VL & Havin ZYa. (1977) Short chemical handbook. Khimiya Press, Moscow

    Google Scholar 

  • Reis MAM, Almeida JS, Lemos PC & Carrondo MJT (1992) Effect of hydrogen sulfide on growth of sulfate-reducing bacteria. Biotechnol. Bioeng. 40: 593–600

    Google Scholar 

  • Rinzema A (1988) Anaerobic treatment of wastewater with high concentration of lipids and sulfate. PhD thesis, Wageningen Agricultural University, the Netherlands

    Google Scholar 

  • Rinzema A & Lettinga G (1988). Anaerobic treatment of sulphate containing wastewater. In:Wize DL (Ed), Biotreatment Systems, Vol. III (pp. 65–109). CRC Press Inc., Boca Raton

    Google Scholar 

  • Sam-Soon P, Wentzel MC, Dold PL, Loewenthal RE & Marais GvR (1991) Mathematical modelling of upflow anaerobic sludge bed (UASB) systems treating carbohydrate waste waters. Water SA 17: 91–106

    Google Scholar 

  • Schwarz A, Yahyavi B, Mosche M, Burkhardt C, Jordening H-J, Buchholz K & Reuss M. (1996) Mathematical modelling for supporting scale up of anaerobic wastewater treatment in a fluidized bed reactor. Water Sci. Technol. 34(5/6): 501–508

    Google Scholar 

  • Schwitzenbaum MS & Jewell WJ (1978) Anaerobic attached film expanded bed reactor for the treatment of dilute organics. Paper presented at 51th Ann. Water Pollut. Control Fed. Conf., Anaheim, California

  • Speece RE, Parkin GF, Bhattacharya S & Takashima S (1986) Trace nutrients requirements of anaerobic digestion. In: Proc. EWPCA Conf. 'Anaerobic treatment, a grown up technology', (pp. 175). Amsterdam

  • Stucki G, Hanselmann KW & Hurzeler RA (1993) Biological sulphuric acid transformation: reactor design and process optimization. Biotechnol. Bioeng. 41: 303–315

    Google Scholar 

  • Van den Berg L & Kennedy KJ (1981) Support material for stationary fixed film reactors. Biotechnol. Lett. 3: 165–170

    Google Scholar 

  • Van Houten RT, Hulshoff Pol LW & Lettinga G (1994). Biological sulphate reduction using gas-lift reactors fed with hydrogen and carbon dioxide as energy and carbon source. Biotechnol. Bioeng. 44: 586–94

    Google Scholar 

  • Vavilin VA, Vasiliev VB, Rytov SV & Ponomarev AV (1994) Self-oscillating coexistence of methanogens and sulphate-reducers under hydrogen sulphide inhibition and the pH-regulating effect. Biores. Technol. 49: 105–119

    Google Scholar 

  • ____ (1995) Modeling ammonia and hydrogen sulphide inhibition in anaerobic digestion. Water Res. 29: 827–835

    Google Scholar 

  • Visser A (1995) The anaerobic treatment of sulphate containing wastewater. PhD thesis, Wageningen Agricultural University, the Netherlands

    Google Scholar 

  • Visser A, Beeksma I, Van der Zee F, Stams AJM & Lettinga G (1993) Anaerobic degradation of volatile fatty acids at different sulfate concentration. Appl. Microb. Biotechnol. 40: 549–556

    Google Scholar 

  • Widdel F (1988). Microbiology and ecology of sulphate and sulphur-reducing bacteria. In: Zehnder AJB (Ed) Biology of anaerobic microorganisms (pp. 469–585). Wiley, New York

    Google Scholar 

  • Wu MM & Hickey RF (1997) Dynamic model for UASB reactor including reactor hydraulics, reaction, and diffusion. J. Environ. Engin.-ASCE 123: 244–252

    Google Scholar 

  • Young JC & McCarty PL (1969) The anaerobic filter for waste water treatment. J. Water Pollut. Control Fed. 41: R160–R173

    Google Scholar 

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Kalyuzhnyi, S., Fedorovich, V., Lens, P. et al. Mathematical modelling as a tool to study population dynamics between sulfate reducing and methanogenic bacteria. Biodegradation 9, 187–199 (1998). https://doi.org/10.1023/A:1008339018423

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