Brent crude futures were up $2.70, or 3.3%, to $83.69 a barrel, while U.S. West Texas Intermediate crude futures rose $3.03, or 4.1%, to $77.14 per barrel.
The U.S. dollar index fell after the data, raising oil prices.
The BTC terminal, which exports Azeri crude oil to international markets, will be closed through Wednesday.
Iraqi crude oil loadings from storage in Ceyhan were ready for resumption on Tuesday, but bad weather was preventing vessels from berthing, a trade source said.
Iraq's crude oil pipeline to Turkey's Ceyhan port was still halted, the Kurdistan Regional Government's energy ministry said.