Mathematical modeling of solid-state anaerobic digestion

Abstract Solid-state anaerobic digestion (SS-AD) technology for the conversion of solid organic wastes to renewable energy has been widely studied and applied during the past decades. Due to the nature of the solid medium, the SS-AD process is significantly different from the traditional liquid anaerobic digestion in many aspects, such as the distribution of microbes and substrates in the reactors, mass transfer, and reaction kinetics. Extensive efforts have been dedicated to developing mathematical models for understanding SS-AD mechanisms, predicting its performance, and improving process control. In this review, SS-AD mathematical models derived from theoretical, empirical, and statistical approaches are critically reviewed and discussed regarding their different assumptions, structures, applications, and limitations. Based on this review, it was concluded that significant efforts should be devoted to experimental verification of the model assumptions, measurement of important kinetic parameters specific for SS-AD, and generation of sufficient data for model validation. It is necessary to synergistically improve modeling and experimental approaches in order to gain deeper insight into the SS-AD mechanism. Several promising research directions for the future development of experimental and modeling approaches in SS-AD are proposed.

[1]  Hanqing Yu,et al.  Optimization of anaerobic acidogenesis of an aquatic plant, Canna indica L., by rumen cultures. , 2007, Water research.

[2]  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.

[3]  Charles J. Banks,et al.  The effect of volatile fatty acid additions on the anaerobic digestion of cellulose and glucose in batch reactors , 2005 .

[4]  P. Weiland.  Biogas production: current state and perspectives , 2009, Applied Microbiology and Biotechnology.

[5]  Rafael Borja,et al.  Anaerobic digestion of solid organic substrates in batch mode: An overview relating to methane yields and experimental procedures , 2012 .

[6]  V A Vavilin,et al.  Modeling solid waste decomposition. , 2004, Bioresource technology.

[7]  Yebo Li,et al.  Effects of total ammonia nitrogen concentration on solid-state anaerobic digestion of corn stover. , 2013, Bioresource technology.

[8]  Hanqing Yu,et al.  Application of rumen microorganisms for anaerobic bioconversion of lignocellulosic biomass. , 2013, Bioresource technology.

[9]  Ruixia Shen,et al.  Theoretical Models of Reaction Mechanisms in Solid Anaerobic Digestion: A Review , 2011 .

[10]  The role of spatio-temporal effects in anaerobic digestion of solid waste , 2005 .

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

[12]  Vasily A. Vavilin.  Equation for isotope accumulation in products and biomass as a way to reveal the pathways in mesophilic methanol methanization by microbial community , 2010 .

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

[14]  W. Clarke,et al.  Concurrent microscopic observations and activity measurements of cellulose hydrolyzing and methanogenic populations during the batch anaerobic digestion of crystalline cellulose. , 2005, Biotechnology and bioengineering.

[15]  Peter McKendry,et al.  Energy production from biomass (Part 1): Overview of biomass. , 2002, Bioresource technology.

[16]  Hung-Suck Park,et al.  Characterization of co-digestion of industrial sludges for biogas production by artificial neural network and statistical regression models , 2013, Environmental technology.

[17]  P. Buffière,et al.  Measurement of diffusion coefficients in dry anaerobic digestion media , 2013 .

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

[19]  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.

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

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

[22]  Jakob Magid,et al.  Structural changes of plant residues during decomposition in a compost environment. , 2006, Bioresource technology.

[23]  K. S. Creamer,et al.  Inhibition of anaerobic digestion process: a review. , 2008, Bioresource technology.

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

[25]  Jian Shi,et al.  Comparison of solid-state to liquid anaerobic digestion of lignocellulosic feedstocks for biogas production. , 2012, Bioresource technology.

[26]  L. Altaş.  Inhibitory effect of heavy metals on methane-producing anaerobic granular sludge. , 2009, Journal of hazardous materials.

[27]  N. Bernet,et al.  Homogeneity and Synchronous Dynamics of Microbial Communities in Particulate Biofilms: from Major Populations to Minor Groups , 2011, Microbes and environments.

[28]  R. Escudié,et al.  Influence of substrate concentration and moisture content on the specific methanogenic activity of dry mesophilic municipal solid waste digestate spiked with propionate. , 2011, Bioresource technology.

[29]  S. E. Nayono.  Anaerobic digestion of organic solid waste for energy production , 2009 .

[30]  P Buffière,et al.  Dry anaerobic digestion in batch mode: design and operation of a laboratory-scale, completely mixed reactor. , 2010, Waste management.

[31]  Jian Shi,et al.  Reactor performance and microbial community dynamics during solid-state anaerobic digestion of corn stover at mesophilic and thermophilic conditions. , 2013, Bioresource technology.

[32]  Joan Mata-Álvarez,et al.  Anaerobic digestion of organic solid wastes. An overview of research achievements and perspectives , 2000 .

[33]  Shumei Gao,et al.  In situ volatile fatty acids influence biogas generation from kitchen wastes by anaerobic digestion. , 2014, Bioresource technology.

[34]  D. J. Martin,et al.  Reaction Mechanisms in Solid-State Anaerobic Digestion: II. The Significance of Seeding , 2003 .

[35]  Junyong Zhu,et al.  Conceptual net energy output for biofuel production from lignocellulosic biomass through biorefining , 2012 .

[36]  Gérard Merlin,et al.  Importance of heat transfer in an anaerobic digestion plant in a continental climate context. , 2012, Bioresource technology.

[37]  D. Martin.  Mass transfer limitations in solid-state digestion , 1999, Biotechnology Letters.

[38]  Muhammad Arshad,et al.  The anaerobic digestion of solid organic waste. , 2011, Waste management.

[39]  T. Tan,et al.  Bioethanol from Lignocellulosic Biomass: Current Findings Determine Research Priorities , 2014, TheScientificWorldJournal.

[40]  Yebo Li,et al.  Challenges and strategies for solid-state anaerobic digestion of lignocellulosic biomass , 2015 .

[41]  Y. Date,et al.  Metabolic sequences of anaerobic fermentation on glucose-based feeding substrates based on correlation analyses of microbial and metabolite profiling. , 2012, Journal of proteome research.

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

[43]  S. Recous,et al.  Soil biodegradation of maize root residues: Interaction between chemical characteristics and the presence of colonizing micro-organisms , 2009 .

[44]  Binxin Wu,et al.  CFD simulation of mixing for high‐solids anaerobic digestion , 2012, Biotechnology and bioengineering.

[45]  Lieve Helsen,et al.  Anaerobic digestion in global bio-energy production: Potential and research challenges , 2011 .

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

[47]  Michael Nelles,et al.  Critical comparison of different model structures for the applied simulation of the anaerobic digestion of agricultural energy crops. , 2015, Bioresource technology.

[48]  R. Forster,et al.  Quantitative Fluorescence In Situ Hybridization of Microbial Communities in the Rumens of Cattle Fed Different Diets , 2010, Applied and Environmental Microbiology.

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

[50]  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.

[51]  C C van Donkelaar,et al.  Determining diffusion coefficients in inhomogeneous tissues using fluorescence recovery after photobleaching. , 2005, Biophysical journal.

[52]  Michael C. Nelson,et al.  Comparison of the microbial communities in solid-state anaerobic digestion (SS-AD) reactors operated at mesophilic and thermophilic temperatures , 2014, Applied Microbiology and Biotechnology.

[53]  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.

[54]  D. Martin.  Thickness of the buffer layer in the 'reaction front' model of solid-state digestion. , 2003, Waste management.

[55]  J M Lema,et al.  A methodology for optimising feed composition for anaerobic co-digestion of agro-industrial wastes. , 2010, Bioresource technology.

[56]  Ahmet Demir,et al.  Neural network prediction model for the methane fraction in biogas from field-scale landfill bioreactors , 2007, Environ. Model. Softw..

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

[58]  Yan Lin,et al.  Ethanol fermentation from biomass resources: current state and prospects , 2006, Applied Microbiology and Biotechnology.

[59]  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.

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

[61]  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.

[62]  Perry L. McCarty,et al.  Methane fermentation of selected lignocellulosic materials. , 1990 .

[63]  Jan Baeyens,et al.  Mixing phenomena in a large-scale fermenter of starch to bio-ethanol , 2012 .

[64]  Rafael Borja,et al.  Biochemical methane potential (BMP) of solid organic substrates: evaluation of anaerobic biodegradability using data from an international interlaboratory study , 2011 .

[65]  Jing Liu,et al.  Early prediction of Biochemical Methane Potential through statistical and kinetic modelling of initial gas production. , 2015, Bioresource technology.

[66]  F. Rombouts,et al.  Modeling of the Bacterial Growth Curve , 1990, Applied and environmental microbiology.

[67]  Maged M. Hamed,et al.  Prediction of wastewater treatment plant performance using artificial neural networks , 2004, Environ. Model. Softw..

[68]  Han-Qing Yu,et al.  Microscale analysis of in vitro anaerobic degradation of lignocellulosic wastes by rumen microorganisms. , 2008, Environmental science & technology.

[69]  D. Sales,et al.  Kinetics of thermophilic anaerobes in fixed-bed reactors. , 2001, Chemosphere.

[70]  V A Vavilin,et al.  Anaerobic digestion of solid material: Multidimensional modeling of continuous‐flow reactor with non‐uniform influent concentration distributions , 2007, Biotechnology and bioengineering.

[71]  Guangming Zeng,et al.  Anaerobic co-digestion of biosolids and organic fraction of municipal solid waste by sequencing batch process , 2008 .

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

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

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

[75]  V. Vavilin,et al.  Effect of mass transfer on concentration wave propagation during anaerobic digestion of solid waste. , 2002, Water research.

[76]  Hanqing Yu,et al.  Direct three-dimensional characterization and multiscale visualization of wheat straw deconstruction by white rot fungus. , 2014, Environmental science & technology.

[77]  Gang Wang,et al.  A kinetic approach to anaerobic hydrogen-producing process. , 2007, Water research.

[78]  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.

[79]  Yu Liu,et al.  Overview of some theoretical approaches for derivation of the Monod equation , 2007, Applied Microbiology and Biotechnology.

[80]  Yebo Li,et al.  Pretreatment of lignocellulosic biomass for enhanced biogas production. , 2014 .

[81]  A. Guwy,et al.  Defining the biomethane potential (BMP) of solid organic wastes and energy crops: a proposed protocol for batch assays. , 2009, Water science and technology : a journal of the International Association on Water Pollution Research.

[82]  E. ten Brummeler,et al.  Full scale experience with the BIOCEL process. , 2000 .

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

[84]  D. Martin,et al.  The Site of Reaction in Solid-State Digestion: A New Hypothesis , 2001 .

[85]  Yanhe Ma,et al.  Monitoring the microbial community during solid-state acetic acid fermentation of Zhenjiang aromatic vinegar. , 2011, Food microbiology.

[86]  S. Kleinsteuber,et al.  Metabolic and microbial community dynamics during the hydrolytic and acidogenic fermentation in a leach-bed process , 2012, Energy, Sustainability and Society.

[87]  T. Forster‐Carneiro,et al.  Dry-thermophilic anaerobic digestion of organic fraction of the municipal solid waste: focusing on the inoculum sources. , 2007, Bioresource technology.

[88]  Claus Felby,et al.  Agricultural residue production and potentials for energy and materials services , 2014 .

[89]  Duncan Martin.  A novel mathematical model of solid-state digestion , 2004, Biotechnology Letters.

[90]  Fuqing Xu,et al.  Predicting the methane yield of lignocellulosic biomass in mesophilic solid-state anaerobic digestion based on feedstock characteristics and process parameters. , 2014, Bioresource technology.

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

[92]  Y. Date,et al.  Solid-, Solution-, and Gas-state NMR Monitoring of 13C-Cellulose Degradation in an Anaerobic Microbial Ecosystem , 2013, Molecules.

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

[94]  M. Roberts,et al.  Fluorescence recovery after photo-bleaching as a method to determine local diffusion coefficient in the stratum corneum. , 2012, International journal of pharmaceutics.

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

[96]  Vinod Tare,et al.  Application of neural network for simulation of upflow anaerobic sludge blanket (UASB) reactor performance. , 2002, Biotechnology and bioengineering.

[97]  Hideki Harada,et al.  Rapid and accurate determination of VFAs and ethanol in the effluent of an anaerobic H(2)-producing bioreactor using near-infrared spectroscopy. , 2009, Water research.

[98]  V. Gunaseelan.  Predicting ultimate methane yields of Jatropha curcus and Morus indica from their chemical composition. , 2009, Bioresource technology.

[99]  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.

[100]  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.

[101]  Eva Thorin,et al.  PROBLEMS AND POSSIBILITIES WITH THE IMPLEMENTATION OF SIMULATION AND MODELING AT A BIOGAS PLANT , 2012 .

[102]  Wojciech Sobieski.  Possibility to use the diffusion equation to heat flow modeling in a composting process , 2011 .

[103]  Serge R. Guiot,et al.  Biomethane production from starch and lignocellulosic crops: a comparative review , 2010 .