Anaerobic Digestion Modelling

Abstract Anaerobic digestion is a well-established technology for stabilization and conversion of various organic wastes into bioenergy. Typical sources of organic wastes suitable for anaerobic digestion are mainly from municipal, agricultural and industrial producers. Because anaerobic digestion is such a complex process, mathematical modelling could assist in providing better understanding, design, optimization and prediction of the performance of anaerobic digesters. State-of-the-art models have been developed to simulate the methane yield improvement, reactor stability enhancement, operational issue identification and waste codigestion in anaerobic digestion systems. In this chapter, a summary of existing anaerobic digestion models is presented. These models were derived for describing substrates characteristics, rate-limiting conditions, process inhibition, operating conditions, methane potential and production rate, liquid–gas interface mass transfer, as well as the application of computational fluid dynamics. A discussion with regard to their different assumptions, structures, applications and limitations is included. Modelling procedure adopted in the course of model structure selection, parameter estimation and model validation methods is also described. Finally, future work identifying the research needs in modelling anaerobic digestion is proposed. The intent of the authors of this chapter is to provide a comprehensive understanding of the fundamental concepts used in anaerobic digestion modelling and to provide ideas for further research work.

[1]  J. Lay,et al.  INFLUENCES OF pH AND MOISTURE CONTENT ON THE METHANE PRODUCTION IN HIGH-SOLIDS SLUDGE DIGESTION , 1997 .

[2]  T. Tan,et al.  Reviewing the anaerobic digestion of food waste for biogas production , 2014 .

[3]  W. Gujer,et al.  Conversion processes in anaerobic digestion , 1983 .

[4]  Ulf Jeppsson,et al.  GISCOD: general integrated solid waste co-digestion model. , 2009, Water research.

[5]  John F. Andrews,et al.  A mathematical model for the continuous culture of microorganisms utilizing inhibitory substrates , 1968 .

[6]  X Flotats,et al.  Hydrolysis kinetics in anaerobic degradation of particulate organic material: an overview. , 2008, Waste management.

[7]  J. Keller,et al.  Industrial applications of the IWA anaerobic digestion model No. 1 (ADM1). , 2003, Water science and technology : a journal of the International Association on Water Pollution Research.

[8]  Jan Van Impe,et al.  Mathematical modelling of anaerobic digestion of biomass and waste: Power and limitations , 2013 .

[9]  R. Escudié,et al.  Influence of moisture content on the specific methanogenic activity of dry mesophilic municipal solid waste digestate , 2012 .

[10]  B. Ahring,et al.  Thermophilic anaerobic digestion of livestock waste: the effect of ammonia , 2004, Applied Microbiology and Biotechnology.

[11]  Jian Shi,et al.  Comparison of different liquid anaerobic digestion effluents as inocula and nitrogen sources for solid-state batch anaerobic digestion of corn stover. , 2013, Waste management.

[12]  I ScottKirkpatrick.  Optimization by Simulated Annealing: Quantitative Studies , 1984 .

[13]  F. Carbonell,et al.  Multiple Shooting-Local Linearization method for the identification of dynamical systems , 2015, Commun. Nonlinear Sci. Numer. Simul..

[14]  Shuichi Aiba,et al.  Kinetics of product inhibition in alcohol fermentation , 2000, Biotechnology and bioengineering.

[15]  S. M. Mousavi,et al.  Three-phase CFD simulation coupled with population balance equations of anaerobic syntrophic acidogenesis and methanogenesis reactions in a continuous stirred bioreactor , 2015 .

[16]  W. Nimmo,et al.  Modelling the anaerobic digestion of solid organic waste - Substrate characterisation method for ADM1 using a combined biochemical and kinetic parameter estimation approach. , 2016, Waste management.

[17]  Renaud Escudié,et al.  Total solids content drives high solid anaerobic digestion via mass transfer limitation. , 2012, Bioresource technology.

[18]  Zhi-Wu Wang,et al.  Potential of biofilm-based biofuel production , 2009, Applied Microbiology and Biotechnology.

[19]  D. T. Hill,et al.  A Comprehensive Dynamic Model for Animal Waste Methanogenesis , 1982 .

[20]  Jian Shi,et al.  Methane production from solid-state anaerobic digestion of lignocellulosic biomass. , 2012 .

[21]  Erik Dahlquist,et al.  Technologies for Converting Biomass to Useful Energy : combustion, gasification, pyrolysis, torrefaction and fermentation , 2013 .

[22]  Li Tang,et al.  A mass diffusion-based interpretation of the effect of total solids content on solid-state anaerobic digestion of cellulosic biomass. , 2014, Bioresource technology.

[23]  Sergey Kalyuzhnyi,et al.  Extension of Enaerobic Digestion Model No. 1 with processes of sulfate reduction , 2003, Applied biochemistry and biotechnology.

[24]  M. Gyllenberg,et al.  Sensitivity analysis and parameter estimation in a model of anaerobic waste water treatment processes with substrate inhibition , 2000 .

[25]  B. Ahring,et al.  A mathematical model for dynamic simulation of anaerobic digestion of complex substrates: Focusing on ammonia inhibition , 1993, Biotechnology and bioengineering.

[26]  Anthony J. Jakeman,et al.  Ten iterative steps in development and evaluation of environmental models , 2006, Environ. Model. Softw..

[27]  Abhijeet P. Borole,et al.  Mesophilic Digestion Kinetics of Manure Slurry , 2007, Applied biochemistry and biotechnology.

[28]  Yebo Li,et al.  A theoretical derivation of the Contois equation for kinetic modeling of the microbial degradation of insoluble substrates , 2014 .

[29]  V. Alcaraz-González,et al.  A robust control scheme to improve the stability of anaerobic digestion processes , 2010 .

[30]  A. Rozzi,et al.  Anaerobic degradation kinetics of particulate organic matter: a new approach , 1997 .

[31]  R. Banerjee,et al.  Modeling and optimization of anaerobic codigestion of potato waste and aquatic weed by response surface methodology and artificial neural network coupled genetic algorithm. , 2016, Bioresource technology.

[32]  F Cecchi,et al.  Application of the IWA ADM1 model to simulate anaerobic co-digestion of organic waste with waste activated sludge in mesophilic condition. , 2009, Bioresource technology.

[33]  Hans-Joachim Jördening,et al.  Comparison of different models of substrate and product inhibition in anaerobic digestion , 1999 .

[34]  E. F. Armstrong.  Enzymes. By J.B.S. Haldane, M.A. Monographs on Biochemistry. Edited by R.H.A. Plimmer, D.Sc., and Sir F. G. Hopkins, M.A., M.B., D.Sc., F.R.S. Pp. vii+235. London: Longmans, Green & Co., 1930. Price 14s , 1930 .

[35]  S. Kalyuzhnyi,et al.  Two-particle model of anaerobic solid state fermentation. , 2000, Water science and technology : a journal of the International Association on Water Pollution Research.

[36]  V. Torczon,et al.  Direct search methods: then and now , 2000 .

[37]  E. Trably,et al.  Microbial community signature of high-solid content methanogenic ecosystems. , 2013, Bioresource Technology.

[38]  Yan Wang,et al.  Influence of Total Solid and Stirring Frequency on Performance of Dry Anaerobic Digestion Treating Cattle Manure , 2011 .

[39]  Eberhard Morgenroth,et al.  Biofilm models for the practitioner , 2000 .

[40]  D. E. Contois.  Kinetics of bacterial growth: relationship between population density and specific growth rate of continuous cultures. , 1959, Journal of general microbiology.

[41]  John Leyden. Webb,et al.  Enzyme and metabolic inhibitors , 1963 .

[42]  Irini Angelidaki,et al.  Anaerobic digestion model No. 1 (ADM1) , 2002 .

[43]  D. T. Hill,et al.  The kinetics of inhibition in methane fermentation of swine manure , 1983 .

[44]  I. Angelidaki,et al.  Kinetics and modeling of anaerobic digestion process. , 2003, Advances in biochemical engineering/biotechnology.

[45]  S. Pommier,et al.  A logistic model for the prediction of the influence of water on the solid waste methanization in landfills , 2007, Biotechnology and bioengineering.

[46]  Sergi Astals,et al.  A critical review on anaerobic co-digestion achievements between 2010 and 2013 , 2014 .

[47]  He Liu,et al.  Modeling of enhanced VFAs production from waste activated sludge by modified ADM1 with improved particle swarm optimization for parameters estimation , 2015 .

[48]  B. Fernández,et al.  Long-chain fatty acids inhibition and adaptation process in anaerobic thermophilic digestion: batch tests, microbial community structure and mathematical modelling. , 2010, Bioresource technology.

[49]  Jingwei Ma,et al.  Mathematical Modeling in Anaerobic Digestion (AD) , 2013 .

[50]  P. Gao,et al.  A novel approach for estimating growth phases and parameters of bacterial population in batch culture , 2006, Science in China Series C: Life Sciences.

[51]  P. Amparo López-Jiménez,et al.  Application of CFD methods to an anaerobic digester: The case of Ontinyent WWTP, Valencia, Spain , 2015 .

[52]  Shuo Chen,et al.  Optimization of anaerobic acidogenesis by adding Fe0 powder to enhance anaerobic wastewater treatment , 2012 .

[53]  Denis Dochain,et al.  ADAPTIVE CONTROL OF BIOREACTORS , 1990 .

[54]  J P Steyer,et al.  A procedure to estimate proximate analysis of mixed organic wastes. , 2009, Water environment research : a research publication of the Water Environment Federation.

[55]  H. König,et al.  Isolation of acetic, propionic and butyric acid-forming bacteria from biogas plants. , 2016, Journal of biotechnology.

[56]  Mehul Vesvikar,et al.  Flow pattern visualization of a simulated digester. , 2004, Water research.

[57]  Zhi-Wu Wang,et al.  Mathematical modeling of solid-state anaerobic digestion , 2015 .

[58]  L. Borzacconi,et al.  Modeling granule development and reactor performance on anaerobic granular sludge reactors , 2016 .

[59]  Andrew G. Hashimoto,et al.  Kinetics of methane fermentation , 1978 .

[60]  Hang-Sik Shin,et al.  Variation of ADM1 by using temperature-phased anaerobic digestion (TPAD) operation. , 2009, Bioresource technology.

[61]  G. Zeeman,et al.  Anaerobic hydrolysis kinetics of particulate substrates. , 2000, Water science and technology : a journal of the International Association on Water Pollution Research.

[62]  Ammaiyappan Selvam,et al.  Hydrolysis-acidogenesis of food waste in solid-liquid-separating continuous stirred tank reactor (SLS-CSTR) for volatile organic acid production. , 2016, Bioresource technology.

[63]  E. J. Fox,et al.  Liming an anaerobic cheese whey digester , 1992 .

[64]  Jean-Philippe Steyer,et al.  Modified ADM1 disintegration/hydrolysis structures for modeling batch thermophilic anaerobic digestion of thermally pretreated waste activated sludge. , 2009, Water research.

[65]  Sonia Heaven,et al.  Energy potential from the anaerobic digestion of food waste in municipal solid waste stream of urban areas in Vietnam , 2014, International Journal of Energy and Environmental Engineering.

[66]  Raf Dewil,et al.  Challenges and opportunities in improving the production of bio-ethanol , 2015 .

[67]  D J Batstone,et al.  Kinetics of thermophilic, anaerobic oxidation of straight and branched chain butyrate and valerate , 2003, Biotechnology and bioengineering.

[68]  Scott Kirkpatrick,et al.  Optimization by simulated annealing: Quantitative studies , 1984 .

[69]  J. Baeyens,et al.  Principles and potential of the anaerobic digestion of waste-activated sludge , 2008 .

[70]  J Keller,et al.  A review of ADM1 extensions, applications, and analysis: 2002-2005. , 2006, Water science and technology : a journal of the International Association on Water Pollution Research.

[71]  Koichi Yamada,et al.  Kinetic Studies on Microbial Activities in Concentrated Solutions. Part. I , 1966 .

[72]  M. Alves,et al.  Modelling inhibitory effects of long chain fatty acids in the anaerobic digestion process. , 2013, Water research.

[73]  Mariano Martín,et al.  Optimal production of power in a combined cycle from manure based biogas , 2016 .

[74]  J P Steyer,et al.  Lessons learnt from 15 years of ICA in anaerobic digesters. , 2006, Water science and technology : a journal of the International Association on Water Pollution Research.

[75]  Gail S. K. Wolkowicz,et al.  Optimal biogas production in a model for anaerobic digestion , 2015 .

[76]  J. Andrews,et al.  Dynamic modeling and simulation of the anaerobic digestion process , 1971 .

[77]  András György,et al.  Efficient Multi-Start Strategies for Local Search Algorithms , 2009, J. Artif. Intell. Res..

[78]  Ioannis V. Skiadas,et al.  On the performance of a centralised digestion facility receiving seasonal agroindustrial wastewaters , 1999 .

[79]  N Bernet,et al.  Dynamic effect of total solid content, low substrate/inoculum ratio and particle size on solid-state anaerobic digestion. , 2013, Bioresource technology.

[80]  Georgios A. Florides,et al.  A review of simple to scientific models for anaerobic digestion , 2014 .

[81]  D. Marquardt.  An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[82]  J. Mata-Álvarez,et al.  Modified version of ADM1 model for agro-waste application. , 2009, Bioresource technology.

[83]  J. Monod.  The Growth of Bacterial Cultures , 1949 .

[84]  L. A. Fdez.-Güelfo,et al.  Dry-thermophilic anaerobic digestion of organic fraction of municipal solid waste: methane production modeling. , 2012, Waste management.

[85]  F. Mosey.  Mathematical Modelling of the Anaerobic Digestion Process: Regulatory Mechanisms for the Formation of Short-Chain Volatile Acids from Glucose , 1983 .

[86]  K. Esquerre,et al.  Application of Anaerobic Digestion Model No. 1 for simulating anaerobic mesophilic sludge digestion. , 2015, Waste management.

[87]  Alain Vande Wouwer,et al.  Model selection, identification and validation in anaerobic digestion: a review. , 2011, Water research.

[88]  R. S. Hassan,et al.  Extracellular enzymes and acidogen profiles of a laboratory-scale two-phase anaerobic digestion system , 1992 .

[89]  Denis Dochain,et al.  Monitoring and Adaptive Control of Bioprocesses , 1998 .

[90]  Chettiyappan Visvanathan,et al.  Bio-energy recovery from high-solid organic substrates by dry anaerobic bio-conversion processes: a review , 2013, Reviews in Environmental Science and Bio/Technology.

[91]  G H Dibdin,et al.  Mathematical Modeling of Biofilms , 1997, Advances in dental research.

[92]  I. Angelidaki,et al.  A comprehensive model of anaerobic bioconversion of complex substrates to biogas , 1999, Biotechnology and bioengineering.

[93]  Geert Gins,et al.  Anaerobic digestion of biomass and waste: current trends in mathematical modeling , 2011 .

[94]  Rafael Borja,et al.  Kinetic study of the anaerobic digestion of vinasse pretreated with ozone, ozone plus ultraviolet light, and ozone plus ultraviolet light in the presence of titanium dioxide , 2002 .

[95]  P. Reichert,et al.  A comparison of techniques for the estimation of model prediction uncertainty , 1999 .

[96]  H. Siegrist,et al.  The IWA Anaerobic Digestion Model No 1 (ADM1). , 2002, Water science and technology : a journal of the International Association on Water Pollution Research.

[97]  Hermann J. Eberl.  Simulation of Chemical Reaction Fronts in Anaerobic Digestion of Solid Waste , 2003, ICCSA.

[98]  Pierre Buffière,et al.  Development of a kinetic model for anaerobic dry digestion processes: Focus on acetate degradation and moisture content , 2011 .

[99]  D. Martin,et al.  Reaction Mechanisms in Solid-State Anaerobic Digestion: 1. The Reaction Front Hypothesis , 2003 .

[100]  R. Speece.  Anaerobic biotechnology for industrial wastewater treatment. , 1983, Environmental science & technology.

[101]  Matthias Reuss,et al.  Optimal Experimental Design for Parameter Estimation in Unstructured Growth Models , 1994 .

[102]  Perry L. McCarty,et al.  Anaerobic wastewater treatment , 1986 .

[103]  Jitendra Pandey,et al.  Methane emission estimation from landfills in Delhi: A comparative assessment of different methodologies , 2011 .

[104]  P. Chatellier,et al.  Modified Anaerobic Digestion Model No.1 for dry and semi-dry anaerobic digestion of solid organic waste , 2015, Environmental technology.

[105]  Irini Angelidaki,et al.  Parameter identification of thermophilic anaerobic degradation of valerate , 2003, Applied biochemistry and biotechnology.

[106]  Ulf Jeppsson,et al.  Modelling anaerobic co-digestion in Benchmark Simulation Model No. 2: Parameter estimation, substrate characterisation and plant-wide integration. , 2016, Water research.

[107]  M. Pérez,et al.  Kinetics of mesophilic anaerobic digestion of the organic fraction of municipal solid waste: Influence of initial total solid concentration. , 2010, Bioresource technology.

[108]  H. D. Stensel,et al.  Wastewater Engineering: Treatment and Reuse , 2002 .

[109]  Huan Li,et al.  Characterization of methanogenic activity during high-solids anaerobic digestion of sewage sludge , 2016 .

[110]  A. Buswell,et al.  The mechanism of the methane fermentation. , 1952, Journal of the American Chemical Society.

[111]  Bert Hamelers,et al.  Effect of temperature on hydrolysis rates of selected biowaste components , 1999 .

[112]  M. Barlaz,et al.  Distributed model of solid waste anaerobic digestion: Effects of leachate recirculation and pH adjustment , 2003, Biotechnology and bioengineering.

[113]  Gerasimos Lyberatos,et al.  MODELLING OF ANAEROBIC DIGESTION - A REVIEW , 1999 .

[114]  I Angelidaki,et al.  Anaerobic degradation of solid material: importance of initiation centers for methanogenesis, mixing intensity, and 2D distributed model. , 2005, Biotechnology and bioengineering.

[115]  D. T. Hill,et al.  A dynamic model for simulation of animal waste digestion , 1977 .

[116]  D. Grant.  Kinetic aspects of the growth of Klebsiella aerogenes with some benzenoid carbon sources. , 1967, Journal of general microbiology.

[117]  Hailong Li,et al.  Effects of thermal pretreatment on the biomethane yield and hydrolysis rate of kitchen waste , 2016 .

[118]  Józef Szlachta,et al.  Estimation of methane production for batch technology – A new approach , 2016 .

[119]  Yebo Li,et al.  Solid-state anaerobic digestion for methane production from organic waste , 2011 .

[120]  Tewfik Sari,et al.  On a three step model of anaerobic digestion including the hydrolysis of particulate matter , 2012 .

[121]  M. Torrijos,et al.  Kinetic modelling of anaerobic hydrolysis of solid wastes, including disintegration processes. , 2015, Waste management.

[122]  V. Vavilin,et al.  A description of hydrolysis kinetics in anaerobic degradation of particulate organic matter , 1996 .

[123]  M. Homaee,et al.  Modeling Vegetative Stage Response of Canola (Brassica napus L.) to Combined Salinity and Boron tresses , 2009 .

[124]  J. A. Spriet.  Structure Characterization - An Overview , 1985 .

[125]  A. Xia,et al.  Optimised biogas production from microalgae through co-digestion with carbon-rich co-substrates. , 2016, Bioresource technology.

[126]  H. Moser,et al.  The dynamics of bacterial populations maintained in the chemostat , 1958 .