permeate

(verb) spread or diffuse through. Synonyms: pervade, penetrate, interpenetrate, diffuse, imbue, riddle. Examples: "An atmosphere of distrust has permeated this administration." "Music penetrated the entire building." "His campaign was riddled with accusations and personal attacks."

(verb) pass through. Synonyms: percolate, sink in, filter. Example: "Water permeates sand easily."

(verb) penetrate mutually or be interlocked. Synonyms: interpenetrate. Example: "The territories of two married people interpenetrate a lot."