Which preposition to use with infiltration

of Occurrences 17%

It would appear that this infiltration of Foraminifera shells with Glauconite does not take place at great depths, but rather in what may be termed a sublittoral region, ranging from a hundred to three hundred fathoms.

with Occurrences 3%

In addition to its increased redness, the membrane has a swollen and gelatinous appearance owing to its infiltration with the inflammatory discharges.

into Occurrences 1%

It passed by infiltration into some lower gallery, where the light of a candle had never shone, and is never likely to shine.

Which preposition to use with  infiltration