Speak to the Machine Outfitter at Base Camp to log this quest. If you zone at any point during this quest, you will lose all progress and key items needed to complete it.
There are eight martello's scattered throughout the zone; you can only replenish a martello if it's "health" is below 90%. You can drain it's energy by having it heal you, but can only do this once per a set amount of time.
Return to the Machine Outfitter at Base Camp to complete this quest. You can do the quest only once per Vana'Diel day, but may require zoning.
Regular replenishment of the martellos located throughout the Abyssea - Vunkerl is vital to the resistance effort in this area. Refuel a martello and return the empty vat to the Machine Outfitter when your task is complete.