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