We study the phenomenon of internal avalanching within the context of recen
tly introduced lattice models of granular media. The avalanche is produced
by pulling out a grain at the base of the packing and then studying the num
ber of grains to be rearranged before the packing is stable again. We find
that the avalanches are long-ranged, decaying as a power law. We study the
distribution of avalanches as a function of the density of the packing and
find that the avalanche distribution is a very sensitive structural probe o
f the system.