Which preposition to use with permeation

of Occurrences 3%

Tennyson was a popular author; his books sold in thousands; his lines passed into that common conversational currency of unconscious quotation which is the surest testimony to the permeation of a poet's influence.

from Occurrences 1%

His wife understood him by a kind of intuition which, like most of our insight into the true natures of those close about us, was a gradual permeation from the one to the other rather than clear, deliberate reasoning.

Which preposition to use with  permeation