Differentiation between acetate and higher volatile acids in the modeling of the anaerobic biomethanation process

This paper presents a model for the single-stage completely-mixed anaerobic digestion of complex substrates containing no volatile acids. In the model, volatile acids produced by the acidogenic bacteria are no longer considered together. Acetate is assumed to be representative of the substrate and propionate and butyrate act only as inhibitors for the methanogenic bacteria.Nomenclature ···0 represents factors associated with the influent - ···1 represents factors associated with the acidogenic bacteria - ···2 represents factors associated with the methanogenic bacteria - Q hydraulic flow (1/d) - V reactor liquid volume (1) - T temperature of the mixed liquor (° C) - S microorganisms concentration (mg/1) - L volatile solids concentration (mg VS/1) - Lb biodegradable volatile solids concentration (mg VS/1) - VA2 acetate concentration (mg/1) - VA3 volatile acids with 3 to 5 carbon atoms concentration (mg/1) - methane rate production (1 CH₄/1_digester.d) - Km saturation coefficient (mg/l) - Ki inhibition coefficient (mg/l) - specific growth rate (1/d) - maximum specific growth rate (1/d) - b biological decay coefficient (1/d) - Arrhénius coefficient (–) - yield of acidogenic bacteria per mg of biodegradable matter consumed (mg S₁/mg L_b) | (mg S₂/mg VA2) - yield of methanogenic bacteria per mg of VA2 consumed - yield of methane production per mg of S₂ formed (1 CH₄/mg S₂) - proportion of VA2 produced per mg of S₁ biosynthetised - proportion of VA3 produced per mg of S₁ biosynthetised - Y_sp volume of CH₄ produced per g of volatile solids eliminated