My house has 2 sump pumps that run every minute or so on wet days (and sometimes dry ones). Even with a French drain, there is constant water coming into the sump pits.
They are both enclosed with a radon/sump cover that keeps some of the noise down but the pumps are just below my TV area which is why I'm here.
I put in some insulation batts with kraft paper barrier in the ceiling above the pumps with the kraft paper towards the subfloor. It has made an improvement, but I can still hear it run when sitting upstairs.
I just purchased some 3/4 inch rigid foam insulation (with one silver side) and was going to start tacking it up to the studs, but I thought about it creating a moisture trap. I need some guidance.
I was planning on doing the whole ceiling (only 36" wide x 12 feet or so) but not worrying about it being perfect insulation but more sound dampening. The rest of the basement is finished, but this part has exposed poured walls.