I'll try and get pictures of the pipes. Yes, they are corrugated.
We don't have a dry spell that affect the water levels, the pond stays level year round, unless we have a lot of rain and the drain gets slightly clogged, then it may rise a few inches. For the past 30 years, can't remember it being lower than maybe an inch, if that.
As I mentioned above, there are at least 4-5 underground springs, probably more. I only know of the ones we swim over

I'm in south-central VA.