Avalanches of grain displacements can be generated by creating local voids
within the interior of a granular material at rest in a bin. Modeling such
a two-dimensional granular system by a collection of monodisperse discs, th
e system, on repeated perturbations, shows all signatures of self-organized
criticality. During the propagation of avalanches the competition among gr
ains creates arches and in the critical state a distribution of arches of d
ifferent sizes is obtained. Using a cellular automata model we demonstrate
that the existence of arches determines the universal behavior of the model
system. [S1063-651X(98)51212-3].