The rig, called Prospector-1, features one of the most advanced fully automated drilling systems in the world, with the ability to drill to a depth of 35,000 feet in high pressure and high temperature environments.
It has a platform the size of four Olympic swimming pools.
The rig is jacked up in the Cromarty Firth in Scotland, where the 140-strong crew are undergoing training.
The rig will then travel to the central North Sea, to be joined by Prospector-5 later, where it will commence operations for Total E&P UK.