Brent crude futures for February delivery were up by $2.23, or 2.8%, at $82.22 a barrel by 12:20 p.m.
U.S. West Texas Intermediate (WTI) crude futures gained $2.03, or 2.7%, to $78.26.
U.S. crude inventories fell by 5.89 million barrels, according to data from the U.S. Energy Information Administration (EIA), compared with estimates for a drop of 1.66 million barrels.
Distillate inventories fell by 242,000 barrels, according to EIA data, compared with analyst estimates for a build of 336,000 barrels.
Overall, Russian oil exports fell by 11% month on month for Dec. 1-20 after the European Union's embargo on Russian oil came into force, the Kommersant daily reported.