Doc08
Generally when drilling you are looking for the cuttings to return out the hole. Drilling with water, the water is collected, desanded (somewhat) and reused for drilling. With air, which Ihave only had on a couple of projects, is messy and can shoot stuff around. I don't know whayt they use to control it, but I would expect a shroud of some sort.
Once you stop drilling, unless you are in a significant artesian condition, the water table should stablilize at its original level.
I hope somewhere in there is the answer to your question