Nouns

(n)sludge, slime, goo, goop, gook, guck, gunk, muck, oozeany thick, viscous matter
(n)seepage, ooze, oozingthe process of seeping

Verbs

(v)seep, oozepass gradually or leak through or as if through small openings
(v)exude, exudate, transude, ooze out, oozerelease (a liquid) in drops or small quantities“exude sweat through the pores”