The mathematical modelling of biomethane production and the growth of methanogenic bacteria in batch reactor systems fed with organic municipal solid waste
A mathematical model was developed and validated for an anaerobic digestion system of the Organic Fraction of Municipal Solid Wastes (OFMSWs) by using a laboratory-scale system of two Packed Bed Reactors (PBRs). The equations were obtained by the mass balances of methanogenic bacteria of affluent and effluent lixiviated, as well as the interior in each reactor. The methane rate was obtained by multiplying the methanogenic activity. A differential equation was fitted with experimental results to obtain the parameters that best describe methanogenic behaviour. These kinetic parameters were used with the modified logistic equation with the special case n = 1.
Keywords: mathematical modelling, biomethane production, methanogenic bacteria, batch reactor systems, organic municipal solid waste, anaerobic digestion, organic fraction of municipal solid wastes, OFMSW, methane rate, waste management