FluentPlex

well up

verb
  1. To gradually or steadily flow upwards or outwards so as to begin to fill or overflow something. (intransitive) · Oil was welling up out of the borehole.· As soon as I heard news of his death, tears started to well up in my eyes.
  2. To accumulate within one, to the point of overwhelming one. (figuratively) · Emotion welled up inside me.
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From the library

“We’re well up with the times in Sussex.
The Valley of Fear, p. 34 · C1
I believe he is well up in anatomy, and he is a first-class chemist; but, as far as I know, he has never taken out any systematic medical classes.
A Study in Scarlet, p. 4 · B2
Well up in belladonna, opium, and poisons generally.
A Study in Scarlet, p. 15 · B2
“I’d rather not pass at all than not come out pretty well up on the list,” flashed Anne, by which she meant--and Diana knew she meant--that success would be incomplete and bitter if she did not come out ahead of Gilbert Blythe.
Anne of Green Gables, p. 271 · C1

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Words, meanings, pronunciations and translations from Wiktionary (CC BY-SA 4.0); how common each word is from wordfreq. Made into this dictionary by FluentPlex.