I'm glad that you liked the cutscene :)
In terms of gameplay, you need to place oil pumps (Hotkey: 2) on the deposits (you can find them by the smoke), and then you need to connect them with pipes [Hotkey: 3] to the building in the center. Building takes time, and you can build only a small amount of structures at the same time, so keep that in mind. To survive you need to keep the oil flowing to the central building. When disasters happen, they damage or destroy some buildings. Damaged buildings are not functioning until they are repaired, so you need to have additional pipes to keep your network sustainable and resistant to environmental hazards.
I'm sorry that it was not clear from the tutorial, I hope you will figure this out now