As a Emergency Logistics Manager, nothing on this scale, I can tell you it takes 72 hours before supplies start flowing into the region and another 48 hours, or so, to do the work so you can start distributing those supplies.  it's not just a matter of throwing the stuff out the back of an airplane or truck.  Things have to be unpacked, inventories, and re-packed for distribution.  You have to have distribution channels and you have to have designated supply points spread through out the city to prevent 'clog.'  You've got to have the infrastructure to warehouse the supplies, transport the supplies from the arrival point to the warehouse, warehouses, some form of vehicles - even if it is only wheelbarrows - to transport supplies, some kind of food and shelter for the logistics workers ... and so on.

Cuba does this rather well because they SPENT THE DAMN MONEY (!) to build the logistics and other emergency infrastructure.  Also, whatever else one can say about 'em, the Communist Party it can be said in their favor that they are organized.  Meaning there is a group of (semi) disciplined people that can be thrown into the mix aside from the regular police, fire, hospital, medical, and other standing emergency workers.  They established a world-class infrastructure for hurricanes, whether it would work for a 7 magnitude earthquake I doubt.  Nobody has.  It's probably impossible.