Mathematical Model of Biomethane Yield at Anaerobic Methane Fermentation of Organic Wastes: Influence of Various Parameters and Factors
Abstract
The present article conducts an analysis of parameters and factors influencing the biogas yield during anaerobic methane fermentation (AMF). A scientific hypothesis is proposed regarding the stochastic nature of the AMF process, attributed to the influence of numerous technological parameters and factors. Based on this hypothesis and a review of various existing mathematical models of AMF, a mathematical model is developed with a high precision to describe the changes in the cumulative biogas yield over time. This model takes the form of a basic multiparametric combined generalized functional (BMCGF) with a residual deviation function. The effectiveness of the proposed model is assessed by describing graphs of biogas yield obtained experimentally and published in scientific literature. Mathematical parameter selection for the BMCGF and residual deviation function is performed using the Matlab software environment. The proposed model demonstrates universality, being applicable to various types of organic raw materials, temperature regimes, and other technological factors and parameters of AMF.