We had to chase off a pair that had a nest on the island in our old refurbished pond. Lots of tall weeds and cover. Finally gave them the idea they were not welcome.
Another pair showed up the other day looking over the island. Grandsons and I swam out to the island (practically drowned we laughed so hard, stumbling in the mud and falling down - good times with my grandsons). Swam a rope over and pulled a rake to the island and whacked all the weeds and the remains of a nest the first pair made and had abandoned.
Wife said island looks better now and there is less cover so hopefully the geese will become less of a problem. She may expect us to swim out there every week now to maintain it though.
I've run them off with the 4-wheeler, shot shotgun near them, fired 22 pistol around them. They are determined birds, but so far have been able to convince them to move along to less disruptive areas.