We report on experimental and theoretical results on the dynamical behavior
of propagating: solitary relaxations in a model system for earthquake-like
dynamics. In the experiments, a continuous elastic medium is sheared at ve
ry slow rate in between two coaxial cylinders. Solitary propagating relaxat
ions travel at speeds that are proportional to the driving speed, though si
milar to 10(3) times faster, and inversely proportional to the number of so
litary relaxations in the system. We show that this behavior appears clue t
o the existence of a characteristic length scale which is the typical displ
acement, of a surface element in a relaxation.