B. Nettelblad et Ga. Niklasson, CONDUCTIVITY OF RANDOM SPHERE PACKINGS - EFFECTS OF A SIZE DISTRIBUTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(4), 1996, pp. 3864-3866
Experimental results for the formation factor of packings of spheres w
ith two well defined sizes, in a conducting fluid, are compared with a
n equation of Berryman [Phys. Rev. B 27, 7789 (1983)]. When Berryman's
formula is used twice, in a repeated-mixing fashion, we obtain good a
greement with the experimental data. The procedure can be generalized
to wide grain size distributions and then constitutes a justification
for Archie's law.