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permeate (v.)

"to pass into or through without rupture or displacement," 1650s, from Latin permeatus, past participle of permeare "to pass through," from per "through" (from PIE root *per- (1) "forward," hence "through") + meare "to pass," from PIE root *mei- (1) "to change, go, move." Related: Permeated; permeating.

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Definitions of permeate from WordNet

permeate (v.)
spread or diffuse through;
An atmosphere of distrust has permeated this administration
permeate (v.)
pass through;
Water permeates sand easily
Synonyms: percolate / sink in / filter
permeate (v.)
penetrate mutually or be interlocked;
Synonyms: interpenetrate
From wordnet.princeton.edu