Verb 1. soak up - take in, also metaphorically; "The sponge absorbs water well"; "She drew strength from the minister's words".
imbibe, sop up, suck up, absorb, suck, take up, take in, draw
mop, mop up, wipe up - to wash or wipe with or as if with a mop; "Mop the hallway now"; "He mopped her forehead with a towel".
blot - dry (ink) with blotting paper
sponge up - absorb as if with a sponge; "sponge up the spilled milk on the counter".
2. soak up - devote (oneself) fully to; "He immersed himself into his studies".
engross, engulf, steep, immerse, absorb, plunge
immerse, plunge - cause to be immersed; "The professor plunged his students into the study of the Italian text".
focus, pore, rivet, center, centre, concentrate - direct one's attention on something; "Please focus on your studies and not on your hobbies".
drink in, drink - be fascinated or spell-bound by; pay close attention to; "The mother drinks in every word of her son on the stage".