They have been the bane of my existence for 4 years. I've decided that the only thing I can do is try to protect my property.
Mr. Groundhog decided to take up residence under our backyard deck. He then married and brought his bride to live with him. As these things go, there was soon a litter of little groundhoglets.
We tried everything; flooding the burrow, filling the burrow with concrete slurry, dry ice in the burrow. No luck at all. I bought a trap, baited it and waited. We trapped and relocated possums, raccoons, foxes, and 8 groundhogs. Fast forward to this spring and, yes indeed, more groundhogs.
I should add that my backyard neighbor, a lovely woman who i truly like as a neighbor, loves wildlife and loves to feed them. This did not help my situation at all.
The final solution, since we live in an incorporated area and can't shoot anything, was to trench around the inner perimeter of the deck 24" deep and put heavy duty metal mesh from the bottom of the hole to the framing around the decking. Added to this expense was the money we had to spend to repair the poured concrete foundation of the house. Apparently, this is common groundhoug activity when they are digging and encounter a permanent barrier like a foundation.
I hate groundhogs.