M. Panfilov, AVERAGED MODEL-TYPE TRANSITION IN FLOWS THROUGH MULTIPLE HETEROGENEOUS POROUS-MEDIA, Comptes rendus de l'Academie des sciences. Serie 2, Mecanique, physique, chimie, sciences de l'univers, sciences de la terre, 318(11), 1994, pp. 1437-1443
The heat or mass transfer in a porous medium described by two heteroge
neous periodic fields with different amplitudes is examined. It is sho
wn that the averaged equations are of type other than microscopic equa
tions. The totality of dual porosity media is nonuniform. It contains
three classes with different averaged models and internal flow structu
res.