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Modelling Bio-electrochemical CO 2 Reduction to Methane Gamunu Samarakoon, Anirudh B. T. Nelabhotla*, Carlos Dinamarca, Dietmar Winkler, Rune Bakke 6/18/2019 1 Introduction Anaerobic Digestion: Conversion of organic matter to methane and


  1. Modelling Bio-electrochemical CO 2 Reduction to Methane Gamunu Samarakoon, Anirudh B. T. Nelabhotla*, Carlos Dinamarca, Dietmar Winkler, Rune Bakke 6/18/2019 1

  2. Introduction • Anaerobic Digestion: Conversion of organic matter to methane and carbon dioxide with help of micro- organisms in the absence of oxygen. • A typical waste treatment plant in Norway produces biogas with about 60-70% methane and 30-40% CO 2 . • Biogas needs to be upgraded (separation or utilization of CO 2 ) to be used as a transport fuel. 6/18/2019 2

  3. Microbial Electrosynthesis System • Convert electrical energy to chemical energy with help of microorganisms as catalysts. • Carbon dioxide is reduced to methane at the cathode with an applied potential. (Nelabhotla et. al., 2018). 6/18/2019

  4. MES Integration with AD (Nelabhotla et. al., 2019) 6/18/2019 4

  5. Model Development and Method The reaction system in an anaerobic digester is complex with a number of sequential and parallel steps. • Biochemical reactions mediated by bacteria • Physico-chemical reactions ( e.g., pH), and gas-liquid transfer. q gas Q out Q in 6/18/2019 5

  6. MES Model Development and Method Electrochemical substrate limitation 𝑇 𝑏 𝑇 𝑒 0 𝑌 𝜍 𝑑1 = 𝑙 m 𝜍 𝑑1 𝐷𝐼 4 + 2𝐼 2 𝑃 𝐷𝑃 2 + 8𝐼 + + 8𝑓 − 𝐿 𝑏 + 𝑇 𝑏 𝐿 𝑒 + 𝑇 𝑒 𝑇 𝑒 1 𝑇 𝐷𝑃 2 𝑇 𝑏 𝐿 𝑒 +𝑇 𝑒 = 𝑆𝑈 𝜃 = 1+𝑓𝑦𝑞 − 𝐺 𝐿 𝑏 + 𝑇 𝑏 𝐿 𝐷𝑃 2 + 𝑇 𝐷𝑃 2 The electron-donor and the electron-acceptor substrates together limit the overall reaction • a – electron acceptor 0 - maximum growth rate k m d – electron donor • X – micro org. con. • S a , S d - two "limiting-substrate'' con. • K a , K d - half-maximum rate con. for substrates S1 and S2. 6/18/2019

  7. MES Model Parameters 𝑇 𝑒 1 𝐿 𝑒 +𝑇 𝑒 = 𝑆𝑈 𝜃 1+𝑓𝑦𝑞 − 𝐺 • local potential( η ) is defined = E KA - E cathode • E KA is the potential in which the substrate consumption rate will reach half of the maximum substrate consumption (analogous to K d ). • η accounts the electro active part of the rate expression • The current study, E KA is taken as the reference potential ( i.e., E KA =0) • R = ideal gas law constant • T = absolute temperature • F = faraday constant 6/18/2019 7

  8. Model Assumptions • Hydrogenotrophic methanogens (X_H 2 ) catalyse methane production from CO 2 via direct interspecies electron transfer (DIET). • Complete mixed cathode compartment. • Non- limiting flow of proton, and electron current supplies with separate anode compartment. • The heterotrophic biogas production follows the ADM1 model. Overall redox reactions 2 𝐼 2 𝑃 → 𝐼 + + 𝑓 − + 1 1 4 𝑃 2 Oxidation reaction : 8 𝐷𝑃 2 + 𝐼 + + 𝑓 − → 1 1 1 8 𝐷𝐼 4 + 4 𝐼 2 𝑃 Reduction reaction : 6/18/2019 8

  9. Simulation Result – Anaerobic Digestion Feed flow to AD Conventional AD for baseline data – Batstone Model 7 feed flow (m 3 d -1 ) 6 • CSTR reactor 5 4 • 50 days 3 • Feed step increases at day 16 and 37 2 1 • Feed composition 0 0 10 20 30 40 50 time (day) Components in the feed Concentrations kg COD feed flow Amino acids 4.2 Fatty acids 6.3 Monosaccharides 2.8 Complex particulates 10 Total 23.3 Batstone, et al. (2002). The IWA Anaerobic Digestion Model No 1 (ADM1). Water Science and Technology, 45 (10), 65-73. 6/18/2019 9

  10. Conventional AD for baseline data Biogas production rate 50 biogas flow( m 3 /d) 40 30 20 Gas composition 10 80 0 ~ 60% 0 10 20 30 40 50 60 gas % time (d) 40 20 0 0 10 20 30 40 50 day CH4 % CO2 % 6/18/2019 10

  11. Saturated Potential and Substrate Limitation 0.13 1.20E+00 S_co2/(Ks_co2+S_co2) NM(Nernst-monod) 0.11 1.00E+00 0.09 8.00E-01 6.00E-01 0.07 4.00E-01 0.05 2.00E-01 0.03 0.00E+00 0.01 -0.300 -0.200 -0.100 0.000 0.100 0.200 0.300 40 140 240 340 440 540 nue ( η ) local potential time (d) Local potential ( η ) is increased from -0.2 to +0.2 v stepwise. 1 𝑇 𝑑𝑝2 0 𝑌 𝑠 = 𝑙 m 1 + 𝑓𝑦𝑞 − 𝐺 𝐿 𝑡_𝑑𝑝2 + 𝑇 𝑑𝑝2 𝑆𝑈 𝜃 Electrode Soluble substrate 6/18/2019 11

  12. Biogas Composition CH 4 90 • Biogas methane content rise up 80 to 85 % from 65 %. 70 60 • Further increase of η does not 50 % 40 result in rise of methane 30 content. CO 2 20 10 • Substrate limitation (S_CO 2 ) 0 40 90 140 190 240 290 340 390 Time (d) 6/18/2019 12

  13. pH 7.8 1 0.9 0.8 7.6 0.7 CH4 yield 0.6 pH 7.4 0.5 0.4 0.3 7.2 0.2 0.1 0 7 40 90 140 190 240 290 340 390 40 90 140 190 240 290 340 390 Time (d) time (d) SMP (m3 / kg COD org) SMP (kg COD ch4/ kg COD org) • pH of the digester rises due to depletion of headspace CO 2 and depletion of protons. • The rise of pH inhibits heterotrophic biogas production. • However, the methane yield (MY) increases, due to electrochemical contribution . 6/18/2019 13

  14. External CO 2 Source CO 2 loading conditions • Overcome the substrate limitation (S_CO 2 ) CO 2 loading Duration (d) (M. d -1 ) • Reduce the pH inhibition 400-450 0 450-500 0.01 • It will increase the specific CH 4 yield 500-550 0.015 • Utilisation of CO 2 as opposed to capture for storage 550-600 0.02 6/18/2019 14

  15. Biogas Flow Biogas composition Methane yield 70 90 1.2 80 60 1 70 50 0.8 60 40 50 m3/d Yield 0.6 % 40 30 0.4 30 20 20 0.2 10 10 0 0 0 400 450 500 550 600 400 450 500 550 600 400 450 500 550 600 d d d MY (m3 / kg COD org) ch4 co2 MY (kg COD ch4/ kg COD org) 6/18/2019 15

  16. pH S_co2/(Ks_co2+S_co2) CO 2 to CH 4 90 7.6 0.14 80 7.55 0.12 70 7.5 0.1 60 7.45 Percentage conversion S_co2/(Ks_co2+S_co2) 0.08 50 7.4 pH 7.35 40 0.06 7.3 30 0.04 7.25 20 0.02 7.2 10 7.15 0 0 400 450 500 550 600 400 450 500 550 600 400 450 500 550 600 d d d 6/18/2019 16

  17. Restrictions on the Model • Electron flow or current (internal and external resistance, overpotential of anodic oxidation reactions, conductivity) • Electrode area (geometry, which depends on space available in the reactor) • Morphology of the biofilm on the cathode (availability of the specific micro-organism on the cathode biofilm) • Electron transfer coefficient (all electrons which flow to the cathode are not available for this specific reaction, e.g., parallel reduction reactions, cell synthesis ) • Mass transfer in the biofilm on the cathode. 6/18/2019 17

  18. Conclusion • AD with MES can increase the biogas methane content from 65 % to 80-90 % (v/v). • The rate of reaction can be controlled by the substrate concentration and local potential. • It is necessary to maintain a buffer system to prevent pH inhibition. • Addition of external CO 2 to an ADMES, operated under limited organic loading could achieve simultaneous bio-methanation of CO 2 20%. • Industrial CO 2 emissions can also be reduced to methane which increases the methane yield without decreasing methane concentration to less than 80%. 6/18/2019 18

  19. References • Nelabhotla ABT, Dinamarca C (2019) Bioelectrochemical CO 2 Reduction to Methane: MES Integration in Biogas Production Processes. Appl Sci 9:1 – 13. doi: 10.3390/app9061056 • Nelabhotla ABT, Dinamarca C (2018) Electrochemically mediated CO 2 reduction for bio-methane production: a review. Rev Environ Sci Bio/Technology 17:531 – 551. doi: 10.1007/s11157-018-9470-5 • Batstone, D. J., Keller, J., Angelidaki, I., Kalyuzhnyi, S. V., Pavlostathis, S. G., Rozzi, A., . . . Vavilin, V. A. (2002). The IWA Anaerobic Digestion Model No 1 (ADM1). Water Science and Technology, 45 (10), 65-73. Marcus, A. K., Torres, C. I., & Rittmann, B. E. (2007). Conduction ‐ based modelling of the biofilm anode of a • microbial fuel cell. Biotechnology and Bioengineering, 98(6), 1171-1182. • Logan, B. E.; Hamelers, B.; Rozendal, R.; Schröder, U.; Keller, J.; Freguia, S.; Aelterman, P.; Verstraete, W.; Rabaey, K., Environmental Science & Technology 2006, 40 (17), 5181-92. • Cheng, S.; Xing, D.; Call, D. F.; Logan, B. E., Environmental Science & Technology 2009, 43 (10), 3953-8. 6/18/2019 19

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