Permeable media - setting porosity values

Hi, I’m rather new to the LBM (as well as Palabos) concept.

I’m trying to evaluate the fine-scale permeability of rocks with multiple facies: voids, impermeable solids and permeable solids.
The key seems to express the fact that flow can go through permeable solids but is limited in velocity. According to Chen et al. 2015 this is done by giving their (effective) porosity values to the cells. 0 for voids, 1 for impermeable solids and in between for permeable solids
Any ideas on how this should be implemented would be wonderful