Percipitation on subterranean vault river pipes? How do you prevent this? There is so much precipitation on the...

How do you prevent this? There is so much precipitation on the pipes that it makes it seem similar to they are leaking!
wrap them with pipe insulation

They're most likely picking up condensation from moisture within the air, if they're wrapped and insulated, this probably won't happen (unless they are leak, then that's another issue)
There is pipe wrap available. It helps hold your pipes from freezing in the winter from and condensing in the summer. It's a styrofoam wrap & can be purchased at Menards, Lowes, Home Depot, etc. You will requirement to insulate the pipes. The issue is warm air react with cold pipes. This operation is easy and cheap and will pick up you energy costs in the winter as very well.
Answers:    You can buy foam sleeves that fit over the pipes at any big box hardware store. That should stop the condensation.
However that does not deal next to the source of the problem. I believe the humidity in your basement is big. A dehumidifier will reduce the humidity and that should stop the condensation as well as decrease the humidity in your house.
They have a protective insulation that you can put around your pipes that will prevent this ...check at your local home center.