Potential for Biomethanisation of CO 2 from Anaerobic Digestion of Organic Wastes in the United Kingdom

: The United Kingdom (UK) has a decarbonisation strategy that includes energy from both hydrogen and biomethane. The latter comes from the growing anaerobic digestion (AD) market, which in 2020 produced 23.3 TWh of energy in the form of biogas. According to the strategy, this must be upgraded to biomethane by removal of carbon dioxide (CO 2 ): a goal that could also be fulﬁlled through CO 2 biomethanisation, alleviating the need for carbon capture and storage. Results are presented from a survey of publicly available datasets coupled with modelling to identify potential scale and knowledge gaps. Literature data were used to estimate maximum biomethane concentrations by feedstock type: these ranged from 79% for food wastes to 93% for livestock manures. Data from various government sources were used to estimate the overall potential for CO 2 biomethanisation with current AD infrastructure. Values for the uplift in biomethane production ranged from 57% to 61%, but the need for more consistent data collection methodologies was highlighted. On average, however, if CO 2 biomethanisation was applied in all currently operating UK AD plants an energy production uplift of 12,954 GWh could be achieved based on 2020 ﬁgures. This is sufﬁcient to justify the inclusion of CO 2 biomethanisation in decarbonisation strategies, in the UK and worldwide.


Introduction
CO 2 biomethanisation is the microbially mediated transformation of carbon dioxide (CO 2 ) to methane (CH 4 ) via the addition of exogenous hydrogen (H 2 ), according to the overall reaction shown in Equation (1): The process has clear potential applications in the anaerobic digestion (AD) industry, which utilises microbial communities to transform a wide variety of organic materials into biogas, a mixture of biomethane and CO 2 [1]. These mixed communities already contain the hydrogenotrophic methanogens which catalyse the direct CO 2 biomethanisation route shown in Equation (1), as well as syntrophic organisms able to mediate indirect routes, e.g., via homoacetogenesis and acetoclastic methanogenesis [2,3]. The combination of AD with H 2 addition to promote CO 2 biomethanisation can thus improve the methane productivity of digesters fed on organic feedstocks [4], increasing the energy output (and therefore, viability) [5,6] and enhancing the carbon utilisation efficiency [7].
The United Kingdom (UK) has a well-established AD market, with initial incentives for distributed small-scale (<5 MWe) electricity production introduced in the 2002 Renewables Obligation (RO) and the 2010 Feed-In Tariff (FIT). It is, however, becoming increasingly common practice in many countries to upgrade biogas to biomethane by removal of CO 2 and other impurities [4,8]. This is because biomethane is valuable as a low carbon fuel that

Performance of CO 2 Biomethanisation of Organic Feedstocks
The objective of this part of the work was to establish values for the increases in methane production and biogas methane content that could be achieved through CO 2 biomethanisation of a range of organic feedstocks. To achieve this, experimental results were collated from relevant studies, focusing primarily on addition of exogenous H 2 : a small number of studies examining approaches such as syngas addition were also considered, but bioelectrochemical systems were not included as, although promising, the technology is some way from large-scale application [4,11].
Parameters taken from the literature included substrate type, operating temperature ( • C), digester configuration and characteristics, organic loading rate (OLR) expressed as g volatile solids (VS) L −1 day −1 or g Chemical Oxygen Demand (COD) L −1 day −1 , hydraulic retention time (HRT, days) and operating pH. Reported and/or calculated values for specific methane potential (SMP: L CH 4 g −1 VS or L CH 4 g −1 COD), volumetric methane production (VMP: L CH 4 L −1 digester day −1 ), H 2 input (L H 2 L −1 day −1 ) and output gas composition (% volume) were used to calculate the change in SMP and VMP due to CO 2 biomethanisation. Note that the term SMP is used here to refer to the total volume of methane produced, from both anaerobic degradation of organic material and biomethanisation of CO 2 where applicable, per unit of organic feed added. Similarly, the VMP is based on the total volume of methane produced from both sources, per unit working volume of reactor per unit time. The difference between VMP with and without addition of H 2 (or H 2 and exogenous CO 2 ) is assumed to be methane produced from CO 2 biomethanisation and is referred to as the Methane Evolution Rate (MER: L CH 4 L −1 day −1 ). The CO 2 removal rate (CRR) is similarly defined as the difference between volumetric CO 2 output (L CO 2 L −1 day −1 ) with and without H 2 addition, adjusted for any additional exogenous CO 2 input. The terms volumetric biogas production and volumetric gas production (VBP and VGP, L L −1 day −1 ) were used to distinguish between the sum of methane and carbon dioxide outputs, and the total gas output including any residual H 2 , respectively. More detailed nomenclature and definitions are provided in Supplementary Materials S1.
A number of other parameters based on the above data were also evaluated. The H 2 transfer efficiency E (%) refers to the proportion of H 2 successfully transferred into the system, i.e., not leaving in gaseous form in the output gas; and is calculated from (H 2 input-H 2 output)/H 2 input, with inputs and outputs in L H 2 L −1 day −1 . The expected MER is the amount of H 2 transferred divided by 4, based on reaction stoichiometry, and is equal to the expected CRR; these values can then be compared with the actual observed MER and CRR. The ratios between actual MER and actual CRR; actual MER and original volumetric CO 2 output (without CO 2 biomethanisation); VBP with and without CO 2 biomethanisation; H 2 transferred to actual MER and actual CRR; and H 2 input to original volumetric CO 2 output (without CO 2 biomethanisation) were also determined.
Where control reactors without H 2 addition were operated, the change in SMP or VMP due to CO 2 biomethanisation was taken as the difference between control and experimental values during the same period; in trials without controls, experimental values were compared with those of a baseline period without H 2 addition. Where multiple sets of conditions were tested, the best performance in terms of SMP and/or biogas methane content under apparently stable conditions is shown. As far as possible, calculations were carried out in a standard manner. In some cases, this means values differ slightly from those reported in the original paper. Wherever possible, the consistency of results was checked by comparing reported and calculated values: e.g., under steady state conditions SMP × OLR = VMP. If some aspect appeared unclear or inconsistent, the authors were contacted to request additional information. More details of calculation methods are provided in the Supplementary Materials. Digestion systems operating in the temperature range [35][36][37][38][39][40] • C are referred to as mesophilic, and between 50-60 • C as thermophilic. Unless specified, standard temperature and pressure (STP) values of 0 • C and 101.325 kPa were assumed and applied throughout this work.
To provide indicative values for modelling, outputs from individual studies were grouped into the following feedstock types: livestock manures, crop materials and agrowastes, food wastes, the organic fraction of municipal solid waste (OFMSW) and sewage sludges. In some cases, there was no single study that directly demonstrated the maximum achievable SMP and biogas methane content for a given feedstock type. Where possible, this was estimated from baseline pH and biogas CO 2 concentrations (i.e., without CO 2 biomethanisation) and observed or assumed maximum pH values for stable operation with CO 2 biomethanisation, using an equation derived and tested for this purpose [12].

AD Feedstock/Energy Production Data and Calculations
Several potential sources of data on AD feedstock quantities and energy production are available and were assessed for use in the current work. Those selected for use were derived from freely available public sources. The most detailed is the dataset which accompanies the Renewable Obligation's Annual Report (2019-20) [13], produced by the Office of Gas and Electricity Markets (Ofgem), the regulator for the electricity and natural gas markets in Great Britain. All RO biomass electricity generators over 50 kWe are required to report on feedstock sustainability criteria in two areas: greenhouse gas (GHG) criteria for national emissions data collection; and land criteria, to assess land use and potential change [14]. The resulting data are expressed as volume of biogas produced for each of 10 feedstock categories aggregated from the RO feedstock consignment sustainability data (RO-SUS) [15]. In order to derive fresh feedstock tonnages, biomethane content and the energetic value of the biomethane from the biogas data, these feedstock categories were characterised using data from the University of Southampton's Anaerobic Digestion Assessment Tool (ADAT) [16], and from the literature review.
A similar feedstock characterisation and energy calculation exercise was carried out on AD feedstock volume data provided by the UK Government's Department for Environment, Food and Rural Affairs (Defra) [17]. Results were compared with the RO data where possible.
Values used in the RO/Defra feedstock calculations were applied to the energy production data in the 2021 UK Digest of UK Energy Statistics (DUKES) [18] for anaerobic digestion and sewage gas. The DUKES data, which are produced by the UK Government's Department for Business, Energy and Industrial Strategy (BEIS) from a wide array of other sources, were also used to provide a wider overview.
Maximum CH 4 values for CO 2 biomethanisation of organic feedstocks derived from the literature review were then utilised to calculate a potential uplift in energy for the RO, Defra and DUKES data [13,17,18].

Performance of CO 2 Biomethanisation by Feedstock Type
Several excellent reviews on CO 2 biomethanisation have recently been published, from the wider perspective of biogas upgrading [4,19] to those more specifically focused on the biological process [3,11] and ranging from technical assessment to fundamental biochemical aspects [2,5,6]. This part of the current work considered the same data from the viewpoint of assessing the achievable performance according to feedstock type. An ideal study for this purpose accurately simulates large-scale operation, but in practice, this can be challenging: common issues include the fact that laboratory-scale reactors may be fed only once per day and/or 5 days per week, while feeding of commercial digesters is usually more frequent. Arrangements for the supply and recirculation of external and headspace gases are also different at large and small scale, with laboratory experiments relying on a variety of approaches from continuous or intermittent input with or without recycling to daily injection under pressure. These affect the availability of exogenous gases over time, and further interact with different modes organic waste feeding which in turn influence the in-situ gas composition. Perhaps most importantly, reactor mixing and mass transfer parameters can vary considerably with scale. All of these factors may affect the biochemical environment, microbial community and metabolic pathways which determine the achievable methane yields and concentrations. In addition, experiments are designed for a range of different purposes and do not necessarily provide data on the maximum stable methane yield or concentration; nonetheless, these studies provide an indication of the potential performance and what is known to date.
In some cases, issues were encountered when attempting to put data from different sources into a comparable format. Some studies include residual H 2 in the reported biogas production, while others do not: not all specify this. Most studies indicate that reported gas volumes have been normalised to STP, but not all state which STP conditions are used. When gas compositions are reported, the main components (CH 4 , CO 2 , H 2 ) do not always sum to 100%: authors do not always state whether they are reporting dry and/or normalised gas volumes, or whether any discrepancies are due, e.g., to variability in experimental measurement or to the inclusion of water vapour and other trace gases. A range of different terms are used to describe the proportion of input H 2 that is consumed, and the resulting increase or decrease in CH 4 and CO 2 produced. There is a clear need for more consistent reporting, and a comprehensive set of standards for this purpose has been proposed [20].

Livestock Manures
Starting with the earliest work on in situ CO 2 biomethanisation of waste feedstocks [1], several studies have been conducted using cattle manure (CM) as the sole or main substrate. Luo et al. [1] ran duplicate CSTR digesters for 3 HRT at an OLR of around 6 g VS L −1 day −1 using sieved CM diluted by a factor of 2 for ease of small-scale operation. H 2 was added continuously to one digester via two ceramic diffusers at around four times CO 2 production (H 2 /CO 2 ratio 4:1 v/v), while the other digester continued operating as a control. The experiment aimed to demonstrate the principle rather than to optimise the system: specific methane production per unit of organic feed (SMP) rose from 60 to 73 L CH 4 kg −1 VS but the biogas methane concentration only increased from 62% to 65% due to unconverted H 2 in the output gas.
Two-stage systems in which the first digester was fed twice daily on CM were tested by Bassani et al. [21]. The second digester received biogas and digestate from the first, with exogenous H 2 added at four times the initial CO 2 volume. One system was operated under mesophilic and one under thermophilic conditions. As expected, the thermophilic system gave higher specific and volumetric methane yields than the mesophilic. Both systems had higher specific methane yields than those obtained by Luo et al. [1], probably at least in part due to the longer overall HRT; but VMP in the mesophilic system was lower than in Luo et al. [1] because of the requirement for a second reactor. The methane concentration was 88.9% in the mesophilic system and 85.1% for the thermophilic, reflecting a higher residual H 2 content in the thermophilic system. The same system configuration and operating conditions were used to investigate changes in performance and microbial community over an extended period [22]. Results for the early stages of stable operation were similar to those of Bassani et al. [21]; but after two years of operation, biogas methane content was increased to around 99%, with an associated rise in both pH and volatile fatty acid (VFA) concentration. The VFA was primarily acetate, and was attributed to enhanced homoacetogenesis accompanied by changes in the microbial population.
Wahid and Horn [23] used a 2-stage system with two 6-L CSTRs operating in series at 55 • C. The first reactor was fed on CM at an HRT of 15 days, while the second received biogas and digestate from the first at an HRT of 20 days. After 120 days of stable operation, H 2 was added initially at a 2/1 H 2 /CO 2 ratio, and subsequently at 4/1. Mixing speeds and gas recirculation rates were varied. There are some inconsistencies between reported values for OLR, SMP and VMP but the highest observed increase in SMP was 90%, similar to the value found by Treu et al. [22], though H 2 transfer efficiency was lower, resulting in a higher residual H 2 content.
Lebranchu et al. [24] operated a 142-L CSTR with a working volume of 100 L at 40 • C. The digester was fed continuously on CM with a VS content of 11% at an HRT of 28 days; the source of inoculum is not stated. H 2 was added continuously via a silicone tube diffuser without gas recirculation, and digester contents were mixed by helical and Archimedes screw mixers. The trial ran for 2.5 HRT with H 2 addition rates increasing from zero to 0.17, 0.29 and 0.45 L H 2 L −1 day −1 . This was followed by trials at different mixing speeds, then additional exogenous CO 2 was injected at 0.05 L CO 2 L −1 day −1 with a matching stoichiometric increase in H 2 . SMP rose from 0.186 to 0.221 L CH 4 g −1 VS with H 2 addition, and to 0.236 L CH 4 g −1 VS with exogenous CO 2 and H 2 . The relatively large scale, simple configuration and operating mode of this study make these results particularly useful in estimating the possible performance of conventional commercial systems.
Diluted pig manure was digested at mesophilic and thermophilic temperatures under different mixing conditions in CSTRs operating at an OLR of 2 g VS L −1 day −1 and an HRT of 25 days [25][26][27]. Under the same operating conditions, thermophilic digestion gave higher specific and volumetric methane yields than mesophilic. The highest SMP was observed in thermophilic conditions with continuous mixing and addition of H 2 and sodium formate [25], although the biogas methane concentration was lower than without the H 2 addition due to the presence of residual H 2 in the output gas. The greatest increase in SMP was under mesophilic conditions with H 2 addition and intermittent mixing [26]; in this case, methane production decreased with continuous stirring. The different response of the two systems to a change from intermittent to continuous stirring was attributed to different effects on alkalinity, TAN, VFA concentration and pH associated with CO 2 dissolution in the liquid phase.
No studies appear to have used other livestock manures as a mono-substrate, although digestate from a 2-stage system fed on chicken manure was used to inoculate reactors receiving exogenous H 2 and CO 2 and to replenish buffering capacity during the enrichment stage [28].
Systems with CM as a major feedstock component have been studied by several researchers. Whey has been used as an acidogenic co-substrate to counteract the pH increase associated with in situ CO 2 conversion [29]. An increase of 80% in SMP was achieved in a single-stage thermophilic CSTR with ceramic diffuser and magnetic stirring [30]; the highest stirring speed led to a small reduction in methane production. The best results were achieved using a hollow fibre membrane (HFM) for H 2 transfer, with an increase in SMP from 0.288 to 0.516 L CH 4 g −1 VS, a biogas methane content of 96.1%, and no residual H 2 detected. A two-stage thermophilic system previously operated with CM as a mono-substrate [23] was also used to test CM + whey at different feedstock ratios, feeding frequencies and stirring speeds [31]: SMP increased by up to 23% with H 2 addition but residual CO 2 and H 2 contents were high, indicating poor mass transfer and leading to a rather low biogas methane concentration.
CM and potato starch were used as co-substrates in a 2-stage system consisting of a CSTR followed by an upflow anaerobic sludge blanket (UASB) reactor, with H 2 added to the first stage and gas recirculated between the stages [32]. H 2 transfer efficiencies were around 98.5% but VFA accumulation occurred, and stable operation with H 2 addition was not achieved: the results are therefore not shown in Table S1.
Mesophilic digestion of CM and vegetable wastes was carried out in a 2-stage reactor at a reported OLR of 3.5 g VS L −1 day −1 and HRT of 10 days, under a range of gas recirculation and H 2 addition rates [33]. H 2 addition gave increases in SMP of around 67% and 157% with and without optimised gas recirculation, respectively. The 2-stage system appeared capable of eliminating residual H 2 and was able to achieve biogas methane concentrations of 92% without and 99% with recirculation, respectively.
For studies using other co-substrates with CM as the minor component, see the sections on crops and agro-wastes and on food wastes below.
Several other studies not shown in Table S1 have used manure or manure-based digestates and feedstocks and/or inoculum. Batch experiments with CM as substrate were carried out to investigate the effect of H 2 addition at different ammonia concentrations [34,35]. Garcia-Robledo et al. [36] used micro-sensors to study the dynamics of H 2 and CO 2 conversion in fresh CM and CM digestate, but the experiment was not designed to establish likely yields in a typical commercial process. Lab-scale breeder reactors inoculated from CM digesters and fed on digestate from these were used to generate material for batch testing with H 2 addition [37]. The work was part of a study investigating the effect of inoculum source on metabolic pathway, and also tested wastewater biosolids digestate; but again, the aim was not to simulate performance in a full-scale process.
The results in Table S1 confirm that useful increases in SMP can be achieved by biomethanisation of CO 2 in CM digestion: this is of particular interest for this substrate, which is known for its low energy potential, making small-scale on-farm digestion economically challenging [38]. High rates of H 2 transfer and conversion were demonstrated in several of the studies. Membrane systems (ceramic and HFM) generally achieved good transfer without gas recirculation, while digester mixing also had an effect, although high mixing rates did not always improve methane yields [26,29,31]. Mixing and mass transfer performance are strongly affected by scale: effective mixing is more difficult to achieve in a full-scale plant, while depth and pressure effects may contribute to improved gas transfer [39][40][41]. Understanding of these effects and how they interact with system biology is still in its early stages, and more research at pilot and full scale is clearly needed if industry is to have confidence in adopting these technologies [3,4].
As can be seen from Table S1, the change in biogas methane content brought about by CO 2 biomethanisation is highly dependent on the applied H 2 loading and the effectiveness of the transfer method, as well as requiring the presence of an appropriate microbial population. Residual unconverted H 2 reduces the methane concentration in the output gas. Depending on the intended end-use, this may be a significant issue, while low transfer and conversion rates arguably represent a waste of H 2 . Two-stage systems were able to achieve a high methane content, but provision of a second digester is expensive, especially if heating and mixing are applied. In the systems described here, the primary digester generally received both organic feed and H 2 , with biogas and digestate then passed to the secondary digester to improve the H 2 conversion with or without further gas recirculation. This approach is already a step towards ex-situ biomethanisation, in which case, a reactor type with more efficient gas transfer may be preferred. Many manure digesters have unheated static tanks for digestate storage, however, so there may also be scope for research on whether and how these could be adapted to fulfil a similar role in increasing H 2 conversion.
Values for VMP and MER varied considerably between the studies in Table S1, reflecting differences in substrate properties and concentration/dilution, as well as the presence of residual unconverted H 2 and CO 2 . These parameters are commercially significant, however, and care is therefore needed when interpreting or reporting them. Co-digestion of Whey + CM may be attractive as a means of increasing the volumetric and specific methane productivity as well as reducing the pH, while both substrates may be locally available in dairy areas.
Conclusions for pig manure were broadly similar to those for CM, despite some differences in the typical characteristics for these substrates [16].
Most of the studies reported in Table S1 were carried out under thermophilic conditions, which generally give a higher SMP at a shorter HRT than mesophilic manure digestion [21]. Thermophilic digestion of CM is not widely practiced in the UK, however; and in combination with the different conditions applied in different studies, this makes it difficult to choose appropriate values for use in the current modelling. It was therefore decided to take typical baseline values for mesophilic CM digestion of SMP 0.190 L CH 4 g −1 VS, biogas composition 60:40% CH 4 : CO 2 and pH 7.5 [16,24], and apply the pH/pCO 2 relationship developed in Tao et al. [12]. Assuming stable mesophilic operation with H 2 addition is possible at pH 8.2 (Table S1, [21]), this equates to a biogas methane content of 95% and SMP around 0.300 L CH 4 g −1 VS with CO 2 biomethanisation. These values are summarised in Table 1 for application in the modelling stage of this work.

Crops and Agro-Wastes
Relatively few CO 2 biomethanisation studies to date have focused on these substrates. A comparison of different possible scenarios for in-situ and ex-situ CO 2 biomethanisation was carried out based on experimental data for grass silage [42]. Only in-situ results are included in Table S1, although ex-situ systems may correspond to the second stage of a two-stage process in some operating configurations. In this part of the study, the grass silage was digested thermophilically in a single-stage CSTR at an OLR of 4 g VS L −1 day −1 and HRT of 46 days using two types of diffuser. The findings demonstrated once again the importance of effective mass transfer, with the ceramic diffuser achieving a 68% increase in SMP compared to 19% for the low-capacity diffuser, and quite creditable VMP and MER values, although still with a significant residual H 2 content.
130-L anaerobic filters (AF) fed on maize silage hydrolysate were trialled at two H 2 /CO 2 ratios, using a venturi nozzle for gas injection and with both liquid and gas recirculation [43]. The AF acted as the methanogenic reactors in a 2-stage system, in which the first stage was a continuously stirred acidification reactor fed on maize silage with a small component of sugar beet silage effluent. The fixed bed in the AF consisted of high-density polyethylene bio-media with a specific surface area of 312 m 2 m −3 . The AF configuration offers potential advantages in biomass retention and gas transfer, but previous studies have focused on ex-situ biomethanisation. It should be noted that some values presented in Table S1 differ from those reported in the paper due to differences in definition and calculation methods. Maize silage was also the feedstock in a 2-phase thermophilic system consisting of hydrolysis and fixed-bed methanogenic reactors [44]. The authors trialled a range of hydrolysis conditions, with H 2 added to the methanogenic reactor in some runs. Specific methane production is only reported for the whole system, and the control and experimental methanogenic reactors were, respectively, 145 and 180 L, making it difficult to compare performance on a volumetric basis; but methane concentrations were successfully increased to over 90%.
Digestate from an AD plant processing mixed agro-wastes was used as inoculum and feed in a single-stage mesophilic CSTR trial at different H 2 loadings [45]. The feedstock of the main AD plant is not described in detail, but is believed to include pig manure, deep litter, slaughterhouse residues and some high-lipid wastes [46]. H 2 was added to the headspace for up to 5 consecutive days, followed by a pause of 10-21 days, in a process described as pulsed injection. While the use of digestate in this way may be viewed as replenishing an inoculum rather than adding a substrate, the slow anaerobic biodegradation rates of some of the original feedstock components mean there is likely to be residual methane potential even after conventional digestion: in this case, the control reactor without H 2 addition had an SMP of 0.293 L CH 4 g −1 VS, higher than typical values for CM. This increased to 0.571 L CH 4 g −1 VS at the best-performing H 2 /CO 2 ratio tested. Although the experimental method did not simulate a conventional AD process, it confirmed the potential for CO 2 biomethanisation to raise methane yields for this material, and provided some insights on process and microbial community parameters. The same set-up was used to explore the effect of H 2 additions at higher and lower headspace CO 2 concentrations across a range of OLR [47], with the results also showing acclimatisation over successive pulsed injection cycles (Table S2).
Two important studies using a similar mixed-agrowaste feedstock containing manure, straw, deep litter, grass and maize silage were carried out in a 1110 m 3 CSTR operating at 52 • C with a HRT of 13 days [39,40]. Some details of the substrate components, which varied over the experimental period, are provided in the papers. H 2 was injected using a venturi system over relatively short periods in order to allow evaluation of the mass transfer potential at different flow rates and with/without gas recirculation. These studies are not included in Table S2 as they represent short-term tests without equilibration and acclimatisation of the system; but the very large size supported by detailed analyses of performance provides valuable reassurance on the potential for full-scale application.
A full-scale thermophilic digester fed on a mixture of pig and cattle manure, maize silage and deep litter was used to provide inoculum for batch reactors. These were fed once only on maize leaf then periodically supplemented with H 2 , in an experiment designed to investigate metabolic pathways and microbial community structure [48]. Fed batch operation was also employed in a serum-bottle trial using inoculum from a mesophilic AD plant fed on maize and sweet sorghum silage and pig manure, with cellulose as the trial feedstock [49]. Sarker et al. [50] operated a 5-L CSTR at 39 • C, using inoculum from a food waste digester with a 0.55% w/w admixture of CM. From day 39-71 the digester was fed intermittently on CM without digestate removal. Increasing volumes of H 2 were injected sequentially between days 40 and 71 into the headspace without gas recirculation. VFA concentrations increased and effective CO 2 biomethanisation was not achieved, which the authors attributed to mass transfer limitations. Although these studies provide insights on the respective feedstocks and inoculums, they did not attempt to simulate conventional digestion and thus do not appear in Table S2.
Details for the two types of crop material investigated are summarised in Table S2. Digestion of grass silage in a conventional CSTR with H 2 addition via a ceramic diffuser was an effective means of increasing SMP [42]: values for VMP and MER were also relatively high, thanks to the good baseline SMP and applied OLR for this substrate. The output gas contained a significant percentage of residual unconverted H 2 ; but ratios between H 2 consumed and methane produced were close to stoichiometric, giving confidence in the experimental results. In situ CO 2 biomethanisation in fixed bed reactors processing maize hydrolysates was also effective at increasing SMP [43,44], though here too, there was relatively little improvement in biogas methane content under the operating modes tested. CH 4 production and CO 2 consumption ratios in Illi et al. [43] were lower than would be expected based on H 2 transferred, possibly indicating dissolution in the liquid phase; no detailed analysis was possible for Schönberg and Busch [44] as results for the two stages could not be disaggregated.
Studies on CO 2 biomethanisation of digestates from mixed agro-wastes clearly demonstrated the potential for increasing methane yields towards those typical of commerciallyinteresting substrates (Table S2, [45,47]). The high biogas methane concentrations achieved here reflected the pulsed addition mode of H 2 operation, however, and cannot be transferred directly to conventionally operated full-scale digestion.
Based on the results in Table S2 and the ADAT database of feedstock properties [16] a baseline SMP of 0.35 L CH 4 g −1 VS with a biogas methane content of 55% was selected for both crops and mixed agro-wastes, giving an assumed maximum methane content of 95% (Table 1).

Food Wastes
Mixed food waste from a commercial AD plant, including wastes from food processing, catering, dairy production and selected abattoir waste fractions, was the substrate for a mesophilic trial with biomethanisation of both endogenous and exogenous CO 2 [12]. Conversion of the internally produced CO 2 increased the SMP from 0.561 to 0.776 L CH 4 g −1 VS with a methane concentration of around 90% and no residual H 2 . Attempts to further increase the methane content led to VFA accumulation, and it was concluded that stable operation was possible up to pH 8.5. Addition of exogenous CO 2 with H 2 enabled a further increase in SMP to 1.215 L CH 4 g −1 VS with the same biogas composition. The system achieved an impressive VMP of 5 L CH 4 L −1 day −1 , and the authors commented that the maximum exogenous CO 2 addition was determined by the capacity of the experimental equipment rather than by any biological limitation in this case.
Source-separated domestic food waste has been widely studied because of its rising popularity as an AD feedstock. A mesophilic trial carried out using FW from a source characterised in previous work [51,52] demonstrated an increase in SMP from 0.446 to 0.719 L CH 4 g −1 VS and stable operation at pH 8.1. Around 45% of CO 2 was converted, but the methane content of the output gas was only around 74% due to the presence of residual H 2 [53]. A combination of H 2 addition and auto-generated pressure was tested as a means of increasing biogas methane concentration using a synthetic FW composed of tinned pork and beans with white bread [54]. In the example in Table S3, the quantity of H 2 added was only sufficient to convert around 9% of the endogenous CO 2 on a stoichiometric basis; but when combined with additional dissolution of CO 2 caused by the 5-bar operating pressure, the biogas methane concentration increased to 90.6%.
Food waste from a University cafeteria was the organic substrate in a trial involving injection of a synthetic syngas consisting of H 2 and carbon monoxide (CO) at a 5:4 v/v ratio [55]. Both mesophilic and thermophilic conditions were tested and the digestates were also pyrolysed to determine the properties of the resulting syngas, with a view to creating an integrated process. The authors noted that methane productivity was higher than expected from stochiometric conversion of syngas, and attributed this to synergistic effects; although the difference decreased as the trial progressed. There is some inconsistency, however, between the reported feedstock properties, OLR and HRT: a feedstock VS of 25.1 g L −1 would give an HRT of 7 days at the reported OLR. A value of 251 g VS L −1 is more typical for FW, and without dilution, would correspond to an HRT of around 71 days: the reported HRT is 20 days, however, so feedstock dilution may have been carried out to facilitate thermophilic operation without ammonia inhibition [56]. Digesters typically require around 3 HRT to approach steady-state conditions with regard to organic loading, and this washout process might offer an additional explanation for observed changes in VS and COD content if the HRT was set at 20 days. In any case, stable operation was achieved with high syngas utilisation, a methane concentration of around 64%, and an increase in SMP of around 31% and 33% in mesophilic and thermophilic conditions, respectively. CO 2 biomethanisation of thermally-treated FW digestate from a laboratory-scale digester was carried out in a trickle-bed reactor operating at 37 • C with a 10-day HRT, at different H 2 loadings and recirculation rates [57]. The SMP increased from 0.248 to 0.450 L CH 4 g −1 VS under the best conditions trialled, but biogas methane content was limited by the presence of residual H 2 , and dosing with HCl was introduced after the pH reached 8. 45.
Batch experiments using food waste from a university dining hall were conducted to investigate the effect of acclimatisation and other parameters [58][59][60]. The trials used headspace injection over consecutive periods and were not designed to simulate conventional AD. There were some errors in the mass balance calculations and the H 2 addition proposed is far from stochiometric needs or typical literature values (Tables S1-S4) [59]; but inoculum acclimatisation was clearly demonstrated.
Other CO 2 biomethanisation studies have used specific waste streams from food processing industries. Cheese whey and related dairy wastes were used as the sole or main substrate by several researchers. Treu et al. [61] attempted to digest whey at mesophilic and thermophilic temperatures with and without CO 2 biomethanisation, but were unable to achieve stable operation in thermophilic conditions. NaHCO 3 was added to provide buffering during mesophilic digestion without H 2 addition; and consumption of accumulated VFA may have affected methane production values in some periods. A feedstock of cheese whey permeate and cheese powder was successfully digested at 54 • C using NaOH for pH control [62]. In both studies, SMP increased with biomethanisation, but residual H 2 reduced the biogas methane concentration. Co-digestion of cheese whey with CM was successful as a means of improving process stability in thermophilic conditions [61,63], though increases in methane content and SMP were relatively small under the conditions applied. The co-digestion trial begun in Treu et al. [61] was continued in a study focusing on the effects of bioaugmentation [64]: no control digester without H 2 addition was run and the results are therefore not presented in Table S3.
Other food industry substrates trialled include potato starch wastewaters [65] and bioethanol distillery effluents [66]. The former was tested in a thermophilic UASB reactor with different diffuser types and gas and liquid recirculation rates. As can be seen from the results in Table S3, H 2 transfer efficiency was higher with a ceramic diffuser and gas recirculation but some residual H 2 was still present in the output gas. The latter study used a 148-L mesophilic anaerobic membrane bioreactor, and achieved a biogas methane content around 98% with minimal residual CO 2 or H 2 . Both studies contained minor inconsistencies between reported values for some parameters, but clearly demonstrated that CO 2 biomethanisation could successfully enhance SMP from organic wastes in these systems.
A synthetic feed containing yeast extract, sucrose and a range of nutrients was used in trials to assess the influence of OLR [67] and of total ammonia nitrogen (TAN) concentration [12] on CO 2 biomethanisation performance. Mesophilic digesters at OLR of 2 and 3 g COD L −1 day −1 also received additional exogenous CO 2 and H 2 , increasing the original SMP by more than 2-fold and giving biogas methane contents of around 90%. The limiting pH for this substrate and inoculum appeared to be around 7.9 at lower TAN concentrations, and 8.2 at higher TAN. The authors noted that further studies are needed to identify the factors determining maximum operating pH in different systems [12].
Glucose was used as a model feedstock in mesophilic reactors in a trial investigating the effect of different H 2 loadings [68]. H 2 was injected once per day into the headspace, which was sealed and allowed to pressurise until venting before the next injection. The inoculum used came from a digester fed primarily on cattle manure, and nutrients were provided by occasional dosing with diluted inoculum. The applied OLR was very low and pH control was required, but the mode of operation enabled a reported increase in biogas methane content from 66% to 94%. A two-stage mesophilic UASB system with glucose as the sole carbon source was tested at different OLR, H 2 loadings and gas recirculation rates [69], and achieved H 2 transfer efficiencies of up to 98.8% with biogas methane contents between 92-94%. Glucose was also used as the organic substrate in the trial of CO injection into a mesophilic UASB reactor [70]. The SMP increased from 0.312 to 0.536 L CH 4 g −1 COD added but biogas methane content fell due to additional CO 2 production, as indicated by the stoichiometric relationship shown in Equation (2): Synthetic substrates are generally adopted to provide controlled conditions for laboratory studies. Where the substrate is chemically defined, the theoretical SMP and expected biogas methane content are known or can be estimated; while parameters such as operating pH may be determined by the substrate composition or be controlled for experimental purposes. In any case these materials are rarely encountered as real-world feedstocks, and thus, values for modelling purposes were not required.
The characteristics of individual waste streams from food processing industries vary widely and it is clearly not possible to choose representative values; but information on baseline digestion conditions is often available from other studies. The minimum CO 2 and corresponding maximum achievable methane content for stable operation is more difficult to determine, and may depend in part on reactor type and operating conditions. In CO 2 biomethanisation trials with potato starch wastewater in UASB reactors (Bassani et al., 2016), stable operation was reported at a pH 8.38 with a CO 2 content 10% in the output gas. For ethanol distillery wastewater treated in an anaerobic membrane bioreactor (AnMBR) [66], the pH had reached 7.9 at a biogas methane content of 97.9% CH 4 and 1.4% CO 2 , with a corresponding increase in SMP from 0.297 to 0.389 L CH 4 g −1 VS: values close to these can therefore be taken as the maximum for this substrate for modelling purposes.
For post-consumer domestic food wastes in Europe, the SMP value is typically around 0.450 L CH 4 g −1 VS [71] with a methane content of around 54%. There are no published studies to confirm the minimum biogas CO 2 content or maximum pH for stable operation, so for the purposes of modelling, a maximum pH of 8.2 was conservatively assumed [53], corresponding to a biogas methane content of 79% (Table 1).

OFMSW
Very little work has been done on CO 2 biomethanisation of OFMSW. When H 2 and CO 2 were batch-fed to samples from real and simulated landfill wastes, methane production was observed but homoacetogenesis was found to be the dominant pathway under the conditions used [72]. Mixtures of CM and synthetic OFMSW (composed of paper, bread and fruit and vegetable wastes) were batch digested at 55 • C at five CM:OFMSW ratios from 100:0 to 50:50 on a mass basis [73]. A nutrient medium containing glucose was added but the only source of inoculum was the fresh CM. After 24 h of fermentation, H 2 and CO 2 were injected continuously at a 4/1 v/v ratio for 20 days. The results confirmed that increases in VMP could be achieved using this approach, with biogas methane contents up to 97%; the values are not included in Table S2 as the study was not designed to simulate a conventional AD process. In the absence of suitable experimental findings, a baseline SMP of 0.35 L CH 4 g −1 VS with a biogas methane content of 60% was adopted [16] for the purposes of modelling, with assumed baseline and maximum pH values of 7.5 and 8.2, respectively, giving a maximum methane content of 92% [53].

Sewage Sludges
AD is a well-established treatment technology for sewage sludges, with existing infrastructure across the water industry, making CO 2 biomethanisation of these substrates an interesting prospect. Alfaro et al. [74] carried out an extended trial using two 20-L mesophilic CSTRs fed on thickened primary and secondary wastewater biosolids from a full-scale wastewater treatment plant (WWTP). H 2 was injected via a HFM and the system was tested at different gas recirculation rates. The baseline SMP varied slightly with different batches of feedstock, but SMP was increased by more than 40% with a biogas methane content of 70-73% and good H 2 utilisation at higher recirculation rates. A study in a mesophilic fermenter with H 2 addition via bubbling and gas recirculation produced a similar improvement in SMP, and demonstrated stable operation at a biogas methane content of 90% with a maximum pH in the range 7.9-8.0 [12]. A trial using the same equipment and a similar sludge from a different wastewater treatment plant achieved a biogas methane content of 85% at pH 7.9. Addition of exogenous CO 2 and H 2 enabled a four-fold increase in the original SMP, but the biogas methane content fell due to the presence of residual CO 2 and H 2 [53].
An enrichment trial was carried out in three mesophilic CSTR digesters fed on mixed primary and secondary sludge [75]. The low feedstock solids content led to a relatively low OLR of around 1 g VS L −1 day −1 at an HRT of 15 days. Batchwise addition of H 2 to the headspace produced a maximum biogas methane content of 80% with a near-stoichiometric ratio between H 2 consumption and CH 4 production. Another trial using sewage sludge from the same source and continuous H 2 addition achieved a biogas methane content of 90% at a H 2 /CO 2 ratio of 7/1 without any adverse effect on VS degradation or significant VFA accumulation [76].
A study combining H 2 addition and pressurisation was carried out in a 35-L mesophilic digester treating mixed wastewater biosolids under a range of operating pressures and at two H 2 loadings [77]. The experimental design did not include a control without H 2 addition, but the best performance was achieved at the highest pressure and H 2 loading tested, with a SMP of 0.418 L CH 4 g −1 VS and a biogas methane content of 92.9%. Based on VS removal, it was estimated that around 0.37 L CH 4 g −1 VS of the SMP was due to organic load and 0.13 L CH 4 g −1 VS to CO 2 biomethanisation. Digester pH remained below 7.2 presumably due to CO 2 dissolution, and there were no signs of process instability or VFA accumulation. Pressurisation is likely to require more extensive modifications to reactor design and operation than H 2 addition under ambient pressures, but the authors noted that process efficiency in terms of VS removal was unaffected by the changing conditions and that a pressure increase could be an effective way to enhance H 2 mass transfer without incurring high energy costs.
Addition of CO was trialled in a thermophilic digester fed on mixed primary and secondary wastewater biosolids [78]. The highest SMP achieved was more than twice the value without CO addition, but the biogas methane content was low (<20%) due to the presence of both residual CO and additional CO 2 generated in accordance with Equation (2). The highest SMP without residual CO was around 1.7 times the baseline value with a biogas methane content of around 30%. The CO was added via a HFM module, ensuring good dissolution despite its rather low solubility, and no signs of process inhibition were observed. A HFM module was also used to inject simulated coke-oven gas (SCOG) consisting of 92% H 2 and 8% CO into a mesophilic CSTR digester fed on mixed primary and secondary sludge [79]. The maximum SMP achieved was 0.604 L CH 4 g −1 VS, compared to a baseline value of 0.256 L CH 4 g −1 VS without SCOG addition. Maximum biogas methane content was 98.8% with 0.3% CO 2 , and pH controlled to 8.0.
In other work with wastewater biosolids, Hu et al. [80] carried out batch tests using nano-scale zero-valent iron and waste iron scraps as a means of generating H 2 , with waste activated sludge (WAS) as an organic substrate in some set-ups. Vechi et al. [37] used lab-scale reactors inoculated with sewage sludge digestate and fed on primary and secondary sewage sludge to produce material for batch testing of H 2 additions, for comparison with inoculum from CM digestion. Inoculum from a range of sources including digestion of sewage sludge, paper mill sludge, cattle and poultry manures and FW, plus aerobic wastewater sludge, was tested to investigate the immediate response of different microbial communities to exposure to high H 2 partial pressures [81]. These studies did not attempt to simulate typical operating regimes but provide a variety of insights on microbial populations and metabolic pathways.
Apart from one study of with CO addition [78], all of the work presented in Table S4 was carried out under mesophilic conditions, reflecting the current widespread use of this temperature range by the water industry. CO 2 biomethanisation gave useful increases of 40-50% in SMP. VMP remained low, reflecting the dilute nature of this substrate, but high values were achieved when additional CO 2 and H 2 were added [53], reinforcing the observation that at sites with multiple digesters a single digester retrofitted for H 2 injection should be capable of processing biogas from several others [12]. Good H 2 transfer was achieved at the scales tested even without membrane diffusers, and ratios between H 2 consumed and methane produced were close to stoichiometric values. The results indicate that CO 2 biomethanisation of this type of substrate can operate stably in a pH range of 7.9-8 [12,74] corresponding to a max biogas methane content around 90% [12]. Baseline SMP values without CO 2 biomethanisation vary depending on factors such as HRT, OLR and the proportion of primary and secondary wastewater biosolids: for the conventional CSTR trials reported here, they ranged from 0.21 to 0.3 L CH 4 g −1 VS with a biogas methane content of 60-65%. These correspond well to typical values of 0.260 L CH 4 g −1 VS and 60% CH 4 given by ADAT [16], and were therefore taken forward into Table 1.

Conclusions from Performance Analysis for CO 2 Biomethanisation of Organic Feedstocks
Consideration of the literature shows a wide range of study types, though there are also obviously many gaps. Table 1 contains a group of parameters for each feedstock type, selected specifically for the purposes of the current modelling work. In Tables S1-S4, a wider selection of parameters and indices to facilitate comparison between results is presented: the significance of these is briefly discussed in the Supplementary Materials. Tables S1-S4 focus on the most successful outcomes in which stable operation was apparently achieved: the studies considered cover many other sets of operating conditions, including some where failure occurred as evidenced, e.g., by irreversible VFA accumulation. Many studies also now include analysis of microbial populations, which when combined with operational data contributes to a growing understanding of the links between community structure, functionality and performance. The majority of studies reported are still at laboratory scale, however, and more work is needed on the effects of scale-up and the interaction of system biology and engineering parameters such as mixing and mass transfer behaviour. For industry to be able to adopt this technology with confidence, a better understanding of the mechanisms affecting performance is needed, together with the development of simple and robust control strategies to avoid instability or suboptimal conditions.
While there are issues in attempting to compare data from different studies, Tables S1-S4 provide some useful insights and parameter values. VMP, MER and H 2 transfer efficiency are important for techno-economic assessment, although values are likely to vary considerably with operating scale and system configuration. SMP is an indicator of the efficiency of conversion for a particular feedstock, while CH 4 and H 2 content of the output gas affect potential end uses.
In many studies, though not all, the ratio of H 2 transferred to CH 4 produced and to CO 2 removed settled at close to the stoichiometric value of 4. Values diverging from this can be explained by utilisation of transferred H 2 for other purposes such as VFA production or biomass growth. Most studies that calculate ratios of this type also choose to ignore the very small amount of dissolved H 2 leaving in the digestate [1,77,82]. Intriguingly, in several cases, the introduction of CO 2 biomethanisation is associated with an increase in VBP [21,22,24,27,29,33,43,45,47,57,61,66,68,74], meaning a larger amount of CH 4 is being produced and/or there is more CO 2 to biomethanise, per unit of organic feed.
It is difficult to assess the significance of this as other factors can also vary: since these studies use real organic feedstocks, there may be minor changes in feedstock properties both day-to-day and between batches in longer studies. HRT are relatively long and not all reported values are from periods where stable steady state operation (often defined as 3 HRT under the same conditions) has been achieved. Accurate determination of H 2 concentrations can also be problematic and as noted, there are different ways of dealing with variability in experimental measurements, with some studies normalising gas composition to 100% and others not. In some cases, however, the observed MER is greater than the volumetric CO 2 production without CO 2 biomethanisation [21,30,33,45,66,68], strongly supporting an increase in VBP. A similar phenomenon of increases in VBP or VMP has been observed in other work on gas recirculation [83], though no clear mechanisms have been confirmed. Many studies are not designed to separate the impacts of gas recirculation and H 2 addition: but Khan et al. [33] found that the increase from H 2 addition and recirculation was greater than from recirculation only. The simple method adopted in the current work, of calculating the MER and the increase in SMP from the difference between experimental and control or baseline values, conflates these effects as well as other factors; but several authors have suggested that addition of H 2 or syngas may have synergistic effects beyond stoichiometric CO 2 conversion [25,33], and more research is clearly needed in this area.

UK Feedstock Data Extraction and Analysis of CO 2 Biomethanisation Potential
Several data sources, in addition to those used, were considered as a basis for assessing the potential for CO 2 biomethanisation from organic wastes in the UK. This included three UK government sources based on specific incentive schemes and expressed in terms of energy generation capacity: the FIT, RHI and Renewable Transport Fuel Obligation (RTFO). In addition, several other organisations collate data on AD plant operations, including the Anaerobic Digestion and Bioresources Association (ADBA), the Renewable Energy Foundation (REF) and the National Non-Food Crops Centre (NNFCC). The different datasets are collected for different purposes, do not cover all materials and use different reporting formats and assumptions, making comparison and generalisation difficult. Brief details on these sources and their advantages and disadvantages are presented in Section S2 of Supplementary Materials.

Estimation of CO 2 Biomethanisation Based on Ofgem RO Data
Although only a proportion of UK AD plants generating electricity are covered by the RO, the RO dataset on feedstock and biogas production is arguably the most detailed freely available. The Ofgem 2019-2020 RO Annual Report [13] aggregates the feedstock consignment data provided by 157 AD plants operating under the RO scheme into 10 broad feedstock categories: Silage; Food, garden and plant waste; Manures and slurries; Distillery waste; DAF sludge/wastewater; Crops; Glycerol; Dairy waste; Municipal waste; and Other. For this part of the study, it was decided to use the aggregated categories and not the original RO-SUS data [15] because it was not clear how the consignment data had been mapped to the categories and because some of the individual RO-SUS consignment data were coded, so the organic source could not be ascertained. The Ofgem feedstock categories also did not map precisely onto those used in the literature survey. The following assumptions were therefore made and confirmed where possible by cross-checking with uncoded RO-SUS data.
Tables S1-S4 demonstrate that, under suitable conditions, biogas methane contents of 90% and above can be achieved for a range of feedstocks commonly used in commercial AD plants. Where possible, expected values for methane content after CO 2 biomethanisation of the Ofgem feedstock categories were therefore taken from Table 1; where no values were available (i.e., Distillery waste, Glycerol, Dairy waste and Other, detailed below), a methane content of 90% was assumed.
The majority of biogas in the 'Silage' category derives from maize, although RO-SUS data also shows the presence of grass silage, and crop silages such as those from rye and wheat. This category was therefore assumed to map onto 'Crop and agro-wastes' in Table 1 and to have the TS and VS content of maize silage in the ADAT database [16].
'Food, garden and plant waste' likely included post-consumer food waste (e.g., from households and restaurants), as well as food production and processing wastes such as reject potatoes, fruit and vegetable waste. It could also include garden and plant materials such as 'Food/garden waste', bulbs, grass and sugar beet pulp. The majority of named plant materials were high energy (e.g., sweetcorn and beet), however, and consignments mentioning 'Food/garden waste' only appeared to make up around 5% of the total for this category. 'Post-consumer food waste' values from Table 1 and source separated food waste from ADAT [16] were therefore adopted for this category.
The 'Manures and slurries' category was conservatively assumed to have the characteristics of cattle slurry, since no indication was given of the proportion of manure to slurry, or of different slurry types. Data for 'Livestock manures' from Table 1 were used, with feedstock characteristics for 'Cattle Slurry' from ADAT [16].
'Distillery waste' may include feedstocks such as draff, pot ale syrup and malt effluent. Again, a conservative approach was taken and, as aggregates, these were assumed to be low TS wastes. There was no directly applicable category in Table 1, so a default methane content of 90% was used. Feedstock characteristics were not available from ADAT [16], so data from the literature were used [84].
The 'DAF sludge/wastewater' category was assumed to equate to the feedstock characterisation for 'Sewage sludge' in Table 1 and in ADAT [16].
The definition used by Ofgem [13] for the 'Crop' category is unclear, but might include feedstocks such as whole crop and maize meal. For these, the maximum methane content was taken from 'Crop and agro-wastes' in Table 1 with TS and VS values based on an average for maize silage and maize corn in the ADAT database [16].
'Glycerol' could be clearly identified in the RO-SUS data [15] and was characterised using standard ADAT values [16], with a default maximum methane content of 90%, as Table 1 had no direct equivalent.
The 'Dairy waste' category could include RO-SUS data for milk whey, dairy waste, liquid food/dairy waste, AD whey permeate and dairy sludge, and was assigned the characteristics of 'Whey' in the ADAT database [16]. With no direct equivalent in Table 1, a default maximum methane content of 90% was assumed.
'Municipal waste' was characterised as 'OFMSW' as this category appears in both Table 1 and ADAT [16].
The narrative in the Ofgem annual report identified 'Other' consignments as including blood, viscera, tallow, fishery waste and plant oils [13] which are all high-strength wastes, and were assumed to have the same properties as the Ofgem 'Food, garden and plant waste' category.
The dataset accompanying the Ofgem report [13] lists 'Quantity [of biogas] burnt (million m 3 )'. Biogas volumes for individual feedstocks in the dataset are reported in million m 3 , to a numerical total of 525,191,780. This does not match the report narrative, which notes production of 525 million m 3 ; and is also three orders of magnitude larger than the 364.06 million m 3 biogas in the 2018-2019 Annual Report and dataset [85]. The units in the database were therefore corrected from 'million m 3 ' to 'm 3 '.
To calculate the gross energetic value of the biogas, biogas volume was multiplied by the estimated methane content and the calorific value (lower heating value) of methane, taken as 35.82 MJ m −3 CH 4 at STP, and converted to GWh as shown in Table 2. The gross energetic value with CO 2 biomethanisation was then calculated by multiplying the original gross energetic value by the ratio of biogas methane contents with and without CO 2 biomethanisation for the given feedstock, i.e., assuming no change in biogas volume. Table 2 shows the resulting improvement in gross energetic values through the increased methane production due to the addition of H 2 . This equates to a 57% uplift in the overall energy value of the biogas. While this assumes CO 2 biomethanisation could be applied in every participating AD plant, which is clearly an over-optimistic scenario, it nevertheless represents a very significant potential uplift that warrants further investigation.
In order to estimate the tonnages of fresh feedstock giving rise to the produced biogas, typical values for the SMP, total solids (TS) and volatile solids (as a percentage of TS) for each feedstock were taken from Table 1 and from the ADAT database [16]. Tonnages for each feedstock category were then calculated from these values as shown in Table 2. The assumptions used to derive the feedstock parameters are provided in Table 2, and result in a total estimated tonnage of 6.8 million tonnes of FM, of which 1.3 million tonnes consists of silage and crops. Together, silage (18.1%), food/garden/plant waste (31.5%) and manures/slurries (12.3%) produce 85.6% of the biogas shown in Table 2. The 2019-2020 Defra feedstock data for anaerobic digestion [17] are derived from the (paywalled) NNFCC report on Anaerobic Digestion Deployment in the UK [86] which records annual feedstock usage in AD plants operating under a range of AD incentives. It therefore covers a wider range than the Ofgem data [13], which only include plants covered by the Renewables Obligation, in which the biogas produced is burned to generate electricity for on-site use and/or feeding into the national electricity grid. The values exclude feedstock data from the wastewater sector (i.e., sludges from WWTP).
The Defra data [17] are presented as percentages of a total tonnage across five feedstock categories: Crops, Food waste, Manures and slurries, Crop wastes and Others. These were mapped using the same assumptions on feedstock characteristics as in Table 2. Specifically, it was assumed that 'Crops' were likely to be silage so this category was treated as maize silage, even though there will be a proportion of other silages and crops. As with the Ofgem data [13], 'Manures and slurries' were conservatively characterised as slurry, as the proportions were unknown. TS, VS and methane production values for 'Crop waste' were aligned with those for 'Crops' in Table 2. Feedstock tonnages shown in bold in Table 3 were taken directly from the Defra report [17].  Table 3 shows the estimated gross energy value with and without CO 2 biomethanisation. The results indicate an overall energy uplift of 61% for this set of feedstocks-further indicating that CO 2 biomethanisation has the potential to significantly increase the energy value of existing feedstocks, as well as the viability of the digesters that produce the gas.
The overall gross energetic value is significantly larger than that derived from the Ofgem RO data as the Defra data covers more than twice the total tonnage of feedstock (Table 3). Additionally, the derived uplift value of 61% differs slightly from the Ofgem RO value of 57% due to differences in the relative proportion of feedstocks.
To estimate the potential biomethane increase from CO 2 biomethanisation, analysis of the available feedstock data in conjunction with data from the scientific literature is a logical approach. It is also possible to apply the overall feedstock-derived energy uplift to generation data when the feedstock underlying it is unknown.
The 2021 DUKES data [18] show energy production from UK AD plants for the year 2020 of 953, 68 and 490 thousand tonnes of oil equivalent (ktoe) for electricity generation, heat generation and grid injection of methane, respectively; no figures are specifically reported for use of biomethane as a vehicle fuel. Applying the DUKES data conversion factor of 11.63 GWh ktoe −1 to this total of 1511 ktoe gives a total gross energy production from anaerobic digestion of 17,572 GWh. This is considerably more than the 11,576 GWh shown in Table 3, reflecting the degree of uncertainty associated even with official data. Timing differences could account for some part of this, e.g., the reporting year for incentives tends to run from 1 April to 31 March whereas DUKES [18] reports by calendar year. Further differences could be due to the conservative feedstock assumptions made above; to DUKES load factor (LF) assumptions when deriving gross energy values from net electricity/heat generation; and/or to variations in data sources and rounding errors. Differences on this scale, however, strongly support the need for more unified and consistent data collection.
Nevertheless, applying the overall energy uplift of 61% derived from Table 3 would result in a gross energy value for AD of 28,317 GWh based on DUKES data [18]. It should be noted this value does not include biomethane used in vehicle fuel.

Potential for CO 2 Biomethanisation Using Generation Derived from Wastewater Treatment
Neither the Ofgem/RO [13] nor the Defra [17] feedstock data shown above include the energy contribution from the AD of sludges from municipal wastewater treatment.
This approach could be used to ascertain improved energy production from DUKES data on sewage gas [18] which show electricity, heat and gas grid injection energy figures of 350, 90 and 54 ktoe, respectively, equating to a total of 5744 GWh. If the maximum methane content from Table 1 is applied, equating to a 38% uplift in gross energy output, generation of 7953 GWh could potentially be achieved if CO 2 biomethanisation were introduced across the wastewater sector.
In the UK, 93% of sewage sludge is treated by AD or advanced AD [87] at approximately 170 AD plants [88]. Unlike commercial and industrial plants where feedstocks are often mixed, and thus, characteristics can be variable, sewage sludge is a relatively consistent material. Additionally, the water industry has ambitious decarbonisation plans [89], as its energy use is considerable (e.g., in 2009 this sector accounted for up to 3% of total energy use in the UK [90]). A relatively small number of AD plants treating a large quantity of a minimally variable feedstock in a sector that has high energy use, relevant technical expertise and ambitious decarbonisation plans makes it relatively feasible to introduce this technology and achieve a significant proportion of the theoretical uplift.

Advantages of CO 2 Biomethanisation at Scale
Despite some variability between sources, the existing feedstock and energy data, supported by the scientific literature, indicate that CO 2 biomethanisation has significant potential to increase the energy contribution of AD to the UK's energy mix, while also increasing the efficiency of utilisation of carbon from organic feedstocks. Applying biomethanisation technology to current DUKES [18] figures of 23,316 GWh (sewage gas and AD) could produce 36,270 GWh, an uplift of 55%. AD and sewage gas currently account for 15% of the UK's bioenergy contribution and this could increase to~22%. This potential uplift of 12,954 GWh is equivalent to the annual energy use of 858,000 households [91], e.g., the domestic properties in a city the size of Leeds.
To effect a similar increase in current gas grid injection alone would require the growth of another 251,000 ha of maize (~4.4% of UK arable land), more than double the 121,000 ha used for all UK bioenergy and more than three times the 75,000 ha used for AD maize in 2020 [92]. Maximizing the carbon utilisation efficiency from existing feedstocks thus makes sense in terms of land use and the food/energy/climate nexus.
Although not explicitly included in the 2021 DUKES [18] figures, the role of biomethane for transport also is growing, particularly in the heavy goods vehicle (HGV) sector where it is currently the only commercial decarbonisation option, until suitable fuel current battery and hydrogen technologies can be developed. Transport is difficult to decarbonise: as energy systems have become less carbon-intensive, transport became the UK's largest emitting sector of GHG emissions in 2016 [93]. If the uplift were used for transport, it could replace nearly 1.1 million litres of diesel, with a fossil CO 2 equivalent of 3.4 million tonnes [94].
This approach could eliminate the energy and capital expenditure required to retrofit CO 2 carbon capture and storage (CCS), allowing more effective utilisation of short-cycle carbon rather than, for example, pumping it into permanent underground storage. This would have the added advantage of displacing its equivalent in fossil gas and associated imports: the Sixth Carbon Budget accounts for abatement from the additional use of biomethane to displace fossil gas [9] and CO 2 biomethanisation could offer an effective way to achieve this.
The longer-term value of incorporating CO 2 biomethanisation into AD systems is further strengthened by the CCC's projected growth in the hydrogen economy, in particular, green hydrogen from water electrolysis powered by renewables, since equipment and installation costs tend to fall as deployment increases. As noted earlier, achieving the benefits of CO 2 biomethanisation requires the use of renewables-based H 2 , and this may be seen as a barrier in the short term since competition for H 2 from grid-based resources is likely to intensify [95]. AD is used at a wide range of scales, however, from on-site slurry treatment at a single dairy farm to processing the municipal wastes of a city. It is therefore flexible in its needs and could be coupled with electrolytic H 2 production across a similar range. In their simplest form, small-scale AD applications can provide an opportunity for hybridisation of on-site renewable power with waste processing, to provide short carbon-cycle biomethane for local or on-site use in locations where export of electricity to grid is technically challenging or economically unattractive. Larger AD installations could be used, with relatively low capital expenditure [2,5,10], to transform excess intermittent power production from large-scale renewable facilities into biomethane for gas grid injection, hence providing buffer storage and allowing a more rapid expansion in the renewables sector. By taking electricity from multiple sources and across different time spans, the technology could thus make a major contribution in supporting the energy transition from carbon-based to non-carbon-based gaseous fuels [7,20].
Given the potential contribution of CO 2 biomethanisation, it is surprising that it does not appear to be mentioned in policy documents and remains under the policy radar, even where other technologies-some with technology readiness levels that are similar or lower-are actively discussed. For example, the BEIS November 2021 Biomass Policy Statement [96] which 'provides a strategic view on the role of biomass across the economy in the medium-to long-term' mentions the 'clear opportunity' for 'material processing of biomass into high value products'; but does not consider CO 2 biomethanisation as either an interim or long-term strategy. Indeed, although it identifies AD as 'the only commercially scalable technology currently available for greening the gas grid', the sole approach for AD's biogenic carbon is Bioenergy Carbon Capture and Storage (BECCs), which will require the development of an effective market for greenhouse gas removals. The UK market for biomethane-to-grid is already well-developed and growing, so maximizing the carbon utilisation in such plants instead of permanently storing it underground could potentially be a better option in the decarbonisation pathway. This, of course, would need to happen alongside the increase in hydrogen production outlined by the CCC.

Conclusions
Biomethane has an important role to play in the UK's energy decarbonisation plans, due to its flexible use in transport, heat and electricity production. A considerable amount of work has been conducted at laboratory scale on CO 2 biomethanisation of organic wastes. The results show clearly that significant improvements can be achieved in methane yield per unit of organic feed and in biogas methane content. Interestingly, the overall survey also appears to indicate that underlying biogas productivity can be increased in some systems. Many scientific and technical questions remain to be addressed, particularly those associated with the effects of scale-up and of differences in operating practice, which need to be resolved if industry is to adopt this technology with confidence. While approaches such as ex-situ CO 2 biomethanisation may be more suitable in some applications, however, it appears there is clear potential for in situ or hybrid conversion of CO 2 generated by anaerobic digestion of organic materials.
Data on existing UK AD feedstocks are highly fragmented, and it is not always clear how values in different sources have been arrived at or how they relate to one another. In the absence of coherent information, it is difficult for government bodies to reach conclusions on overall policy, especially when individual sectors and technologies are lobbying for their own interests. The availability of better and more consistent data sources as a basis for evaluation and policy making is thus a clear priority. Based on the available UK data, however, significant increases in biomethane productivity could potentially be achieved, ranging from 38-68% for different feedstock types and equivalent to an overall uplift in the contribution of AD to UK bioenergy from 15 to 22%. Again, there are many issues to consider: the current survey only looked at data on the highest level, and for realistic assessments of the potential scale and impact of technology application it will be necessary to take into account both the end-uses of biomethane and techno-economic viability on individual sites. The potential contribution from CO 2 biomethanisation of organic wastes is large enough, however, to warrant consideration in both short and long-term planning. There is thus a clear need for more work looking at both the research issues and the policy needs to optimise the contribution of this approach and integrate it with national energy and sustainability strategies.