We consider fireball models where the ejecta have a range of bulk Lore
ntz factors, so that the inner (lower Gamma) parts may carry most of t
he mass, or even most of the energy. The outer shock and contact disco
ntinuity decelerate as the fireball sweeps up external matter. This de
celeration allows slower ejecta to catch up, replenishing and reenergi
zing the reverse shock and boosting the momentum in the blast wave. In
consequence, the energy available to power the afterglow may substant
ially exceed that of the burst itself. Such models allow a wide range
of possibilities for the afterglow evolution, even in the case of sphe
rically symmetric expansion.