The vibrators would have been brought in by low-loader to the end of the nearest paved road and then driven across country. They are actually very rugged all-terrain vehicles and stand up much better to desert conditions than a 4x4.
By the 90's, air supply of food, etc. and crew changes would be by Twin Otter or similar. Clearly these two runways are much bigger than required by a Twin Otter, so I suspect they might have been built to take larger aircraft (C-130s?) to bring in components of an oil drilling rig. However, I cannot see any evidence of a rig site in the immediate area, although the white area (with multiple vehicle tracks) near the bottom left of the T looks a possibility.
What's a doctor doing standing in the middle of the UAE desert, wearing a glider pilot's hat?