Study on filtration equations based on filtrate viscosity

Classical filtration equations incorporate microscopic parameters, which pose challenges when applied in industrial settings. Previous extensive research has established the impact of filter cake thickness and variations in filtration pressure on the filtration rate. Moreover, the thickness of the filter cake is influenced by various factors, such as the filtration chamber's design dimensions and the coal slurry's properties. Thus, by expressing the properties of the coal slurry at a macroscopic level, it becomes possible to achieve a macroscopic representation of the filtration rate. This study presents the derivation of a macroscopic filtration equation that relies on the viscosity of the filtrate. The derivation process is mainly based on Darcy's law, analyzing the relationship between the permeability of each layer and the permeability of cake under constant pressure and explaining and analyzing the method of determining the equation parameters.

Automated summary

Classical filtration equations face challenges when applied in industrial settings due to their incorporation of microscopic parameters. Previous research has identified the influence of filter cake thickness and variations in filtration pressure on the filtration rate. This study derived a macroscopic filtration equation by expressing the properties of the coal slurry at a macroscopic level and relying on the viscosity of the filtrate.