This paper presents a study into permeability of porous media inwhich both homogenisation of periodic media (HPM) and self consistentmethod (SCM) are used. By taking advantage of the physical principlesidentified with HPM, the application of SCM led to the determinationof two permeability assessments. It is shown that these conjecturedvalues correspond in fact to the exact bounds of permeability ofvarious classes of porous media with a clear identification of theirmicrostructures (grain and fluid size distribution). Applications arepresented for granular media with spherical grains, and for fibrousmedia with parallel cylindrical fibres.
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