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Mathematical models for the kinetics of methane production via the anaerobic co-digestion of biomass waste649
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Published:
Mar 7, 2025
Keywords:
Biodigestion; AcoD; BMP; sigmoidal; biogas; modelling.
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Abstract
Unsuitable disposal of organic agrifood waste has had a serious impact on the environment, so processes and tools that enable products of value to be generated from this waste and promote its use need to be created. This research presents the study and comparative evaluation of 5 kinetic models of methane production from the anaerobic co-digestion of biomass waste, such as cattle and horse manure, tripe, and whey in experimental prototype reactors. Based on this biochemical methane potential method anaerobic co-digestion experiments were carried out using hermetic reactors at room temperature that are monitored for 70 consecutive days. The models used to describe the kinetics of experimental methane production were: a) first order kinetic, b) cone, c) modified logistics, d) modified Gompertz and e) modified Richards. The maximum methane production rate and phase lag duration were determined, as well as the accumulated methane production potential. The residual sum of squares and the correlation coefficient were compared to identify the mathematical model that best describes the phenomenon. Modelling the kinetics of anaerobic digestion in a suitable manner is important for designing digesters and predicting the behaviour of anaerobic systems, as well as optimising and scaling real fermenters. It was shown that there is potential to produce biogas from the AcoD of the tested waste.
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López-Aguilar, H. A., Huerta-Reynoso, E. A., Gómez, J. A., & Pérez-Hernández, A. (2025). Mathematical models for the kinetics of methane production via the anaerobic co-digestion of biomass waste. Revista Del Centro De Investigación De La Universidad La Salle, 16(64), 3650. https://doi.org/10.26457/recein.2025.3650
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References
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Olawoye, B., & Gbadamosi, S. (2020). Digestion kinetics of native and modified cardaba banana starch: A biphasic approach. International Journal of Biological Macromolecules. https://doi.org/10.1016/j.ijbiomac.2020.03.089
Pečar, D., & Goršek, A. (2020). Kinetics of methane production during anaerobic digestion of chicken manure with sawdust and miscanthus. Biomass and Bioenergy. 143, 105820. https://doi.org/10.1016/j.biombioe.2020.105820
Pererva, Y., Miller, C. D., & Sims, R. C. (2020). Existing Empirical Kinetic Models in Biochemical Methane Potential (BMP) Testing, Their Selection and Numerical Solution. Water. 12(6), 1831. https://doi.org/10.3390/w12061831
Song, Y., Mahdy, A., Hou, Z., Lin, M., Stinner, W., Qiao, W., & Dong, R. (2020). Air Supplement as a Stimulation Approach for the in Situ Desulfurization and Methanization Enhancement of Anaerobic Digestion of Chicken Manure. Energy and Fuels, 34(10), 12606–12615. https://doi.org/10.1021/acs.energyfuels.0c01724
Tian, Y., Yang, K., Zheng, L. (2020) Modelling Biogas Production Kinetics of Various Heavy Metals Exposed Anaerobic Fermentation Process Using Sigmoidal Growth Functions. Waste Biomass Valor. 11, 4837–4848. https://doi.org/10.1007/s12649-019-00810-x
Ware, A., & Power, N. (2017). Modelling methane production kinetics of complex poultry slaughterhouse wastes using sigmoidal growth functions. Renewable Energy. 104, 50-59. https://doi.org/10.1016/j.renene.2016.11.045
Whiting, A., & Azapagic, A. (2014). Life cycle environmental impacts of generating electricity and heat from biogas produced by anaerobic digestion. Energy, 70, 181-193.
Yan, M., Fotidis, I. A., Tian, H., Khoshnevisan, B., Treu, L., Tsapekos, P., & Angelidaki, I. (2019). Acclimatization contributes to stable anaerobic digestion of organic fraction of municipal solid waste under extreme ammonia levels: focusing on microbial community dynamics. Bioresource technology, 286, 121376. https://doi.org/10.1016/j.biortech.2019.121376
Zhao, T., Chen, Y., Yu, Q., Shi, D., Chai, H., Li, L.,& He, Q. (2019). Enhancement of performance and stability of anaerobic co-digestion of waste activated sludge and kitchen waste by using bentonite. PloS one. 14(7), e0218856. https://doi.org/10.1371/journal.pone.0218856
Zwietering, M. H., Jongenburger, I., Rombouts, F. M., & Van't Riet, K. J. A. E. M. (1990). Modeling of the bacterial growth curve. Applied and environmental microbiology. 56(6), 1875-1881.
Achinas, S., & Euverink, G. J. W. (2019). Effect of combined inoculation on biogas production from hardly degradable material. Energies, 12(2), 217. https://doi.org/10.3390/en12020217
Achmon, Y., Claypool, J. T., Pace, S., Simmons, B. A., Singer, S. W., & Simmons, C. W. (2019). Assessment of biogas production and microbial ecology in a high solid anaerobic digestion of major California food processing residues. Bioresource Technology Reports, 5, 1-11. https://doi.org/10.1016/j.biteb.2018.11.007
Aghdam, E. F., Scheutz, C., & Kjeldsen, P. (2017). Assessment of methane production from shredder waste in landfills: The influence of temperature, moisture and metals. Waste Management. 63, 226-237. https://doi.org/10.1016/j.wasman.2016.11.023
Akaike, H. (1974). A new look at the statistical model identification. IEEE transactions on automatic control, 19(6), 716-723. DOI: 10.1109/TAC.1974.1100705
Almomani, F., & Bhosale, R. (2020). Enhancing the production of biogas through anaerobic co-digestion of agricultural waste and chemical pre-treatments. Chemosphere. 126805. https://doi.org/10.1016/j.chemosphere.2020.126805
Altaş, L. (2009). Inhibitory effect of heavy metals on methane-producing anaerobic granular sludge. Journal of hazardous materials. 162(2-3), 1551-1556. https://doi.org/10.1016/j.jhazmat.2008.06.048
APHA, A. (1999). WEF-Method 2540 E—Fixed and volatile Solids lgnited at 550 C. Standard Methods for the examination of water and wastewater Washington.
Castrillón, L., Fernández-Nava, Y., Ormaechea, P., & Marañón, E. (2011). Optimization of biogas production from cattle manure by pre-treatment with ultrasound and co-digestion with crude glycerin. Bioresource technology. 102(17), 7845-7849. https://doi.org/10.1016/j.biortech.2011.05.047
Elagroudy, S., Radwan, A. G., Banadda, N., Mostafa, N. G., Owusu, P. A., & Janajreh, I. (2020). Mathematical models comparison of biogas production from anaerobic digestion of microwave pretreated mixed sludge. Renewable Energy. 155, 1009-1020. https://doi.org/10.1016/j.renene.2020.03.166
Imeni, S. M., Pelaz, L., Corchado-Lopo, C., Busquets, A. M., Ponsá, S., & Colón, J. (2019). Techno-economic assessment of anaerobic co-digestion of livestock manure and cheese whey (Cow, Goat & Sheep) at small to medium dairy farms. Bioresource technology. 291, 121872. https://doi.org/10.1016/j.biortech.2019.121872
Kasinath, A., Fudala-Ksiazek, S., Szopinska, M., Bylinski, H., Artichowicz, W., Remiszewska-Skwarek, A., & Luczkiewicz, A. (2021). Biomass in biogas production: Pretreatment and codigestion. Renewable and Sustainable Energy Reviews, 150, 111509. https://doi.org/10.1016/j.rser.2021.111509
Kehoe, S. I., Jayarao, B. M., & Heinrichs, A. J. (2007). A survey of bovine colostrum composition and colostrum management practices on Pennsylvania dairy farms. Journal of dairy science, 90(9), 4108-4116. https://doi.org/10.3168/jds.2007-0040
Kong, X., Xu, S., Liu, J., Li, H., Zhao, K., & He, L. (2016). Enhancing anaerobic digestion of high-pressure extruded food waste by inoculum optimization. Journal of environmental management. 166, 31-37. https://doi.org/10.1016/j.jenvman.2015.10.002
Li, L., Kong, X., Yang, F., Li, D., Yuan, Z., & Sun, Y. (2012). Biogas production potential and kinetics of microwave and conventional thermal pretreatment of grass. Applied biochemistry and biotechnology. 166(5), 1183-1191. https://doi.org/10.1007/s12010-011-9503-9
Li, W., Khalid, H., Amin, F. R., Zhang, H., Dai, Z., Chen, C., & Liu, G. (2020). Biomethane production characteristics, kinetic analysis, and energy potential of different paper wastes in anaerobic digestion. Renewable Energy. 157, 1081-1088. https://doi.org/10.1016/j.renene.2020.04.035
Moset, V., Al-zohairi, N., & Møller, H. B. (2015). The impact of inoculum source, inoculum to substrate ratio and sample preservation on methane potential from different substrates. Biomass and Bioenergy. 83, 474-482. https://doi.org/10.1016/j.biombioe.2015.10.018
Muthu, D., Venkatasubramanian, C., Ramakrishnan, K., & Sasidhar, J. (2017). Production of biogas from wastes blended with cowdung for electricity generation-a case study. In IOP Conf. Series, Earth Environ. Sci. 80(1). 012055. https://doi.org/10.1088/1755-1315/80/1/012055
Náthia-Neves, G., Berni, M., Dragone, G., Mussatto, S. I., & Forster-Carneiro, T. (2018). Anaerobic digestion process: technological aspects and recent developments. International Journal of Environmental Science and Technology. 15(9), 2033-2046. https://doi.org/10.1007/s13762-018-1682-2
Navarro, S. L. B., Lanuza, D. S. Z., Ramírez, J. C. A., & Calero, J. A. Z. (2014). Evaluación de la producción de biogás a partir de suero lácteo a escala de laboratorio. Revista Ciencia y Tecnología El Higo. 4(1), 29-35. https://doi.org/10.5377/elhigo.v4i1.8633
Nguyen, D. D., Jeon, B. H., Jeung, J. H., Rene, E. R., Banu, J. R., Ravindran, B., ... & Chang, S. W. (2019). Thermophilic anaerobic digestion of model organic wastes: Evaluation of biomethane production and multiple kinetic models analysis. Bioresource technology. 280, 269-276. https://doi.org/10.1016/j.biortech.2019.02.033
Nindhia, T. G. T., Surata, I. W., Nindhia, T. S., Negara, D. N. K. P., & Diantoro, M. (2017). Waste of Copper Alloy Chips as Biogas Desulfurizer. International Journal of Environmental Science and Development, 8(1), 15–18. https://doi.org/10.18178/ijesd.2017.8.1.913
Olawoye, B., & Gbadamosi, S. (2020). Digestion kinetics of native and modified cardaba banana starch: A biphasic approach. International Journal of Biological Macromolecules. https://doi.org/10.1016/j.ijbiomac.2020.03.089
Pečar, D., & Goršek, A. (2020). Kinetics of methane production during anaerobic digestion of chicken manure with sawdust and miscanthus. Biomass and Bioenergy. 143, 105820. https://doi.org/10.1016/j.biombioe.2020.105820
Pererva, Y., Miller, C. D., & Sims, R. C. (2020). Existing Empirical Kinetic Models in Biochemical Methane Potential (BMP) Testing, Their Selection and Numerical Solution. Water. 12(6), 1831. https://doi.org/10.3390/w12061831
Song, Y., Mahdy, A., Hou, Z., Lin, M., Stinner, W., Qiao, W., & Dong, R. (2020). Air Supplement as a Stimulation Approach for the in Situ Desulfurization and Methanization Enhancement of Anaerobic Digestion of Chicken Manure. Energy and Fuels, 34(10), 12606–12615. https://doi.org/10.1021/acs.energyfuels.0c01724
Tian, Y., Yang, K., Zheng, L. (2020) Modelling Biogas Production Kinetics of Various Heavy Metals Exposed Anaerobic Fermentation Process Using Sigmoidal Growth Functions. Waste Biomass Valor. 11, 4837–4848. https://doi.org/10.1007/s12649-019-00810-x
Ware, A., & Power, N. (2017). Modelling methane production kinetics of complex poultry slaughterhouse wastes using sigmoidal growth functions. Renewable Energy. 104, 50-59. https://doi.org/10.1016/j.renene.2016.11.045
Whiting, A., & Azapagic, A. (2014). Life cycle environmental impacts of generating electricity and heat from biogas produced by anaerobic digestion. Energy, 70, 181-193.
Yan, M., Fotidis, I. A., Tian, H., Khoshnevisan, B., Treu, L., Tsapekos, P., & Angelidaki, I. (2019). Acclimatization contributes to stable anaerobic digestion of organic fraction of municipal solid waste under extreme ammonia levels: focusing on microbial community dynamics. Bioresource technology, 286, 121376. https://doi.org/10.1016/j.biortech.2019.121376
Zhao, T., Chen, Y., Yu, Q., Shi, D., Chai, H., Li, L.,& He, Q. (2019). Enhancement of performance and stability of anaerobic co-digestion of waste activated sludge and kitchen waste by using bentonite. PloS one. 14(7), e0218856. https://doi.org/10.1371/journal.pone.0218856
Zwietering, M. H., Jongenburger, I., Rombouts, F. M., & Van't Riet, K. J. A. E. M. (1990). Modeling of the bacterial growth curve. Applied and environmental microbiology. 56(6), 1875-1881.