Extending Kozeny-Carman permeability model to highly porous media

摘要

Anomalous normalised permeability as a ratio of permeability to square of particle sizefor snow, diatomite, kieselgel was considered using Kozeny-Carman model andtortuosity factor defined as the square of average tortuosity pathway. Since theKozeny-Carman model is based on the geometrical models of a capillary tube, themodel adopted for high porous media with shaped particles (often with fractalproperties) becomes complex. To show how the problem of permeability may becomplex, two types of particles are analysed in porous media: snowflakes anddiatomite and kieselguhrs. Snowflakes are typical fractal particles, whereas diatomiteand kieselguhr can form pores with fractal tortuosity. Based on theoretical investigationa model including fractal measurements for void and solid phases and dependence oftortuosity on packing porosity is proposed. The obtained results show that within thedeveloped model we can describe a wide range of porous media with different fractalityand tortuosity. Based on presented numerous examples it was concluded that furtherexperimental investigation should be useful to improve the model and validate theapplication range.