Which preposition to use with encroaching

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.

of Occurrences 1%

But the turf below was firm, and a salt drop that had spattered to his lips told him that it was only the encroaching of the tide in the meadow.

over Occurrences 1%

The glen was about three hundred yards across, and the trees which crowded it, and overflowed its steep side encroaching over the flat ground beyond, were chiefly maples and sycamores.

Which preposition to use with  encroaching