permeate

Verb
  1. Spread or diffuse through (synset 201231635)
    "An atmosphere of distrust has permeated this administration"; "music penetrated the entire building"; "His campaign was riddled with accusations and personal attacks"
  2. Pass through (synset 201460583)
    "Water permeates sand easily"
  3. Penetrate mutually or be interlocked (synset 201229799)
    "The territories of two married people interpenetrate a lot"

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