bubble up vs rise up

bubble up and rise up both are verbs.

Word	Noun	Adjective	Verb	Adverb
bubble up	No	No	Yes	No
rise up	No	No	Yes	No

As verbs, rise up is a hypernym of bubble up; that is, rise up is a word with a broader meaning than bubble up:

bubble up: move upwards in bubbles, as from the effect of heating; also used metaphorically
rise up: come to the surface

Other hypernyms of bubble up include come up, rise, surface.

bubble up (verb)	rise up (verb)
move upwards in bubbles, as from the effect of heating; also used metaphorically	come to the surface
	stand up on the hind legs, of quadrupeds
	take part in a rebellion; renounce a former allegiance