Thats a big hole.
To answer your question, I doubt a NOTAM would be filed, as NOTAMS are temporary things. I wouldn't imagine that this hole in the ground is very temporary, so I would guess that something like that would go in the A/FD, where more long-term information is apt to go.
That would be an interesting one though...
"Caution for 1/4SM dia. open pit mine, 1/4 mi. from end of Rwy. 06."
Twin Cessna 812 Victor, Minneapolis Center, we observe your operation in the immediate vicinity of extreme precipitation