Which preposition to use with encroached

on Occurrences 88%

It was some time before the new-comers could find their way about alone without turning down wrong passages, or encroaching on forbidden ground, and getting shouted at by irate seniors, and ordered to "Come out of that!"

around Occurrences 1%

Just outside, and but a dozen paces from the house, there stretched a sullen pond, over which the wind drove in scuds and whipped the sparse reeds that encroached around its margin.

in Occurrences 1%

As on the present occasion, they often come with little or no warning; and the effects of a hurricane in the distant main, far outstripping the wind, sometimes rolls with tremendous fury towards our western shores, on which the sea is encroaching in every part.

Which preposition to use with  encroached