A novel time-series-based kinetic model for degradation of municipal solid waste under different oxygen concentrations

Abstract

Aeration is pivotal in accelerating landfill stabilization. Biodegradation kinetic models of landfills have not fully accounted for the uneven distribution of oxygen during aerobic in situ stabilization, owing to the high heterogeneity of landfills. In this study, a successive degradation of organic matter (SDOM) model is proposed to calculate the reaction rate constant of municipal solid waste (MSW). The SDOM model assumes that organic matter (OM) is composed of n independent shares, with each share starting to degrade at different times. However, all fractions degrade according to first-order kinetics once they enter the reaction phase. In this study, degradation tests of typical organic matter in landfills were conducted under varying oxygen concentrations, and the reaction rates for each degradation test were calculated using the SDOM model. Subsequently, a model was developed to simulate the variation in the reaction rate constant with the oxygen concentration. Superposition tests on multiple types of organic matter were conducted to further validate the superposition principle of the degradation process. Model verification using real waste data revealed a reaction rate constant of 0.12, demonstrating a better fit compared to the Monod model and traditional first-order kinetic model, as well as the highest accuracy in the calculation of CO₂ produced in the degradation process. The SDOM model can help to understand the degradation mechanism of the aerobic in situ stabilization of landfills in a better manner.

Graphical abstract

Keywords

Landfill / Time-series-based model / Aerobic stabilization / Organic matter biodegradation

Highlight

	● A model is proposed for calculating the reaction rate constant of organic matters.
	● The relationship between oxygen concentration and reaction rate is proposed.
	● The gas generation during degradation of organic matters degradation is superposed.
	● SDOM model is more accurate in calculating the CO2 production during degradation.

References

[1] Ahmadifar M, Majid Sartaj, & M. Abdallah.. (2016). Investigating the performance of aerobic, semi-aerobic, and anaerobic bioreactor landfills for MSW management in developing countries. Journal of Material Cycles and Waste Management, 18(4): 703–714

[2] Ali M, Zhang J, Raga R, Lavagnolo R C, Pivato A, Wang X, Zhang Y, Cossu R, Yue D. (2018). Effectiveness of aerobic pretreatment of municipal solid waste for accelerating biogas generation during simulated landfilling. Frontiers of Environmental Science & Engineering, 12(3): 73–85

[3] Avinash L S, Mishra A. (2024). Comparative evaluation of artificial intelligence based models and kinetic studies in the prediction of biogas from anaerobic digestion of MSW. Fuel, 367: 131545

[4] Bian R, Xin D, Chai X. (2018). A simulation model for methane emissions from landfills with interaction of vegetation and cover soil. Waste Management, 71: 267–276

[5] CaoB Y, Feng S J, LiA Z (2018). CFD modeling of anaerobic-aerobic hybrid bioreactor landfills. International Journal of Geomechanics, 18(7): 04018072.04018071–04018072.04018010

[6] Chen Y m. (2014). A fundamental theory of environmental geotechnics and its application. Chinese Journal of Geotechnical Engineering, 36(1): 1–46

[7] Fathinezhad A, Jafari N H, Oldenburg C M, Caldwell M D. (2022). Numerical investigation of air intrusion and aerobic reactions in municipal solid waste landfills. Waste Management, 147: 60–72

[8] Feng S J, Lu S F, Chen H X, Fu W D, Lu F. (2017). Three-dimensional modelling of coupled leachate and gas flow in bioreactor landfills. Computers and Geotechnics, 84(APR): 138–151

[9] Feng S J, Wu S J, Fu W D, Zheng Q T, Zhang X L. (2021). Slope stability analysis of a landfill subjected to leachate recirculation and aeration considering bio-hydro coupled processes. Geoenvironmental Disasters, 8(1): 29

[10] Feng S J, Shen Y, Zheng Q T, Shi J L. (2022). Multi-functional direct shear apparatus for geosynthetic interfaces with its application on various GMB/GCL interfaces. Acta Geotech, 17(3): 993–1008

[11] Fytanidis D K, Voudrias E A. (2014). Numerical simulation of landfill aeration using computational fluid dynamics. Waste Management, 34(4): 804–816

[12] Gawande N A, Reinhart D R, Yeh G T. (2010). Modeling microbiological and chemical processes in municipal solid waste bioreactor, part II: application of numerical model BIOKEMOD-3P. Waste Management, 30(2): 211–218

[13] Guo S, Yu W, Zhao H, Lai C, Bian S, Jin P, Liang S, Yuan S, Huang L, Wang S. . (2023). Numerical simulation to optimize passive aeration strategy for semi-aerobic landfill. Waste Management, 171: 676–685

[14] Gutiérrez M C, Siles J A, Diz J, Chica A F, Martín M A. (2017). Modelling of composting process of different organic waste at pilot scale: biodegradability and odor emissions. Waste Management, 59: 48–58

[15] Haarstrick A, Hempel D C, Ostermann L, Ahrens H, Dinkler D. (2001). Modeling of the biodegradation of organic matter in municipal landfills. Waste Management & Research, 19(4): 320–331

[16] HaugR T (1993). The Practical Handbook of Compost Engineering. New York: Lewis Publishers

[17] Hu X, Yang Y, Zhou K, Tian G, Liu B, He H, Zhang L, Cao Y, Bian B. (2022). Verification of agricultural cleaner production through rice-duck farming system and two-stage aerobic composting of typical organic waste. Journal of Cleaner Production, 337: 130576

[18] Jones K L, Grainger J M. (1983). The application of enzyme activity measurements to a study of factors affecting protein, starch and cellulose fermentation in domestic refuse. European Journal of Applied Microbiology & Biotechnology, 18(3): 181–185

[19] Kunath B J, Delogu F, Naas A E, Arntzen M Ø, Eijsink V G H, Henrissat B, Hvidsten T R, Pope P B. (2019). From proteins to polysaccharides: lifestyle and genetic evolution of Coprothermobacter proteolyticus. ISME Journal, 13(3): 603–617

[20] Lavagnolo M C, Grossule V, Raga R. (2018). Innovative dual-step management of semi-aerobic landfill in a tropical climate. Waste Management, 74: 302–311

[21] Li K, Chen Y M, Xu W J, Zhan L T, Ling D S, Ke H, Hu J, Li J L. (2021). A thermo-hydro-mechanical-biochemical coupled model for landfilled municipal solid waste. Computers and Geotechnics, 134: 104090

[22] Li K, Xu W, Chen Y, Zhan L, Ke H, Xu H, Xiao D. (2023). Biochemical, hydrological and mechanical behaviors of high food waste content MSW landfill: numerical simulation analysis of a large-scale experiment. Waste Management, 171: 557–567

[23] Lin Y P, Huang G H, Lu H W, He L. (2008). Modeling of substrate degradation and oxygen consumption in waste composting processes. Waste Management, 28(8): 1375–1385

[24] Lou Z, Chai X, Zhao Y, Song Y, Zhu N, Jia J. (2014). Indicating landfill stabilization state by using leachate property from Laogang Refuse Landfill. Frontiers of Environmental Science & Engineering, 8(3): 405–410

[25] Ma J, Liu L, Yu X, Fei X, Bi Y. (2020). Simulation of gas concentration during the process of air injection and extraction in a landfill. Environmental Progress & Sustainable Energy, 39(5): e13406

[26] Mason I G. (2008). An evaluation of substrate degradation patterns in the composting process. Part 2: Temperature-corrected profiles. Waste Management, 28(10): 1751–1765

[27] Miron Y, Zeeman G, Lier J B V, Lettinga G. (2000). The role of sludge retention time in the hydrolysis and acidification of lipids, carbohydrates and proteins during digestion of primary sludge in CSTR systems. Water Research, 34(5): 1705–1713

[28] Nguyen D, Wu Z, Shrestha S, Lee P H, Raskin L, Khanal S K. (2019). Intermittent micro-aeration: new strategy to control volatile fatty acid accumulation in high organic loading anaerobic digestion. Water Research, 166: 115080

[29] Omar H, Rohani S. (2017). The mathematical model of the conversion of a landfill operation from anaerobic to aerobic. Applied Mathematical Modelling, 50(10): 53–67

[30] Petric I, Mustafić N. (2015). Dynamic modeling the composting process of the mixture of poultry manure and wheat straw. Journal of Environmental Management, 161: 392–401

[31] Qu X, He P, Shao L, Li G. (2005). Biomass compositions fermentation in initial stage of fresh municipal solid waste degradation in bioreactor landfill. Journalof Environmental Sciences, 9: 1219–1225

[32] Rafey A, Siddiqui F Z. (2023). Modelling and simulation of landfill methane model. Cleaner Energy Systems, 5: 100076

[33] Read A D, Hudgins M, Phillips P. (2001). Perpetual landfilling through aeration of the waste mass; lessons from test cells in Georgia (USA). Waste Management, 21(7): 617–629

[34] TangW (1998). Study on Generation and Control of Landfill Gas for Municipal Solid Waste. Dissertation for the Doctoral Degree. Beijing: Tsinghua University

[35] Vieru D. (2020). Mathematical modeling of landfill gas (MSW)—production of gas with methane gas content from landfills (MSW). Journal of Geoscience and Environment Protection, 8(12): 36–62

[36] Wang H, Cao Q M, Yang J F, Tang S M. (2008). Effect of soil biodiversity on nutrients and water used by plants. Acta Ecologica Sinica, 28(3): 1240–1246

[37] Wang K, Yun S, Xing T, Li B, Abbas Y, Liu X. (2021). Binary and ternary trace elements to enhance anaerobic digestion of cattle manure: focusing on kinetic models for biogas production and digestate utilization. Bioresource Technology, 323: 124571

[38] Xiao D, Chen Y m, Xu W j, Zhan L T, Ke H, He H j, Liu Y f. (2022). Experimental study on aerobic accelerated stabilization and carbon and nitrogen migration of municipal solid waste. Zhongguo Huanjing Kexue, 42(5): 2204–2212

[39] XiaoD, Xu W, ZhanL, ChenY (2019). A model for aerobic biochemical degradation of municipal solid waste. In:　Proceedings of the 8th International Congress on Environmental Geotechnics Volume 3. Hangzhou, China, October 28–November 1, 2018

[40] Yan H, Sedighi M, Xie H. (2020). Thermally induced diffusion of chemicals under steady-state heat transfer in saturated porous media. International Journal of Heat and Mass Transfer, 153: 119664

[41] Yang B, Wang H, Lu W, Qian H. (2008). Anaerobic digestion of single material waste for landfill conditions. Journal of Tsinghua University (Science and Technology), 48(9): 1445–1448

[42] ZhangJ (2019). Simulation Test and Mumerical Modeling of Old Municipal Solid Waste Landfill in-situ Aeration. Dissertation for the Doctoral Degree. Shanghai: Huazhong University of Science and Technology

[43] Zhang P, Wu H. (2013). Research progress of landfill evapotranspiration cover. Journal of Shenyang University, 25(4): 271–274

[44] ZhaoT, Zhang K, GuJ, ZhangS, WangX, SongW, Shi L, YanF, PanH (2015). Characteristics of lignocellulose degradation and the microbial diversity of FWD1. Journal of AGRO-Environmenta Science, 34(8): 1582–15881588

[45] Zhao Y, Liu Z, Zhang B, Cai J, Yao X, Zhang M, Deng Y, Hu B. (2023). Inter-bacterial mutualism promoted by public goods in a system characterized by deterministic temperature variation. Nature Communications, 14(1): 5394

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