'Near the ground' as in by the coast? Surely, the 'ground' in the middle of the sea is called the sea bed, and if a submarine were to end up stuck on the sea bed I would suggest that it had sunk rather than 'run aground'.
I'm not going to die in a ditch over this, just putting it out there...
You can get underwater reefs in the middle of the ocean . It also covers other situations such as a fire etc... sorry BAe have already done that.