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The anaerobic fermentation of biomass in methane-tank during the biogas production is considered. The process of individual bubbles lifting upwards and its simultaneous interaction with solid particles with mixing of the nascent substrate is analyzed. The forces acting on the bubble are given and a differential equation is developed that characterizes the biogas bubble movement in the organic mass substrate. The mathematical dependence of the flooding rate of the biogas bubble is developed and an example of solvin...