LONDON - Oil edged lower on Tuesday but remained near multi-year highs as an energy supply crunch continued across the globe, while falling temperatures in China revived concerns over whether the world's biggest energy consumer can meet domestic heating needs.

The Brent crude benchmark was down 3 cents, or less than 0.1%, at $84.30 a barrel by 1351 GMT after rising almost 80 cents earlier in the session.

U.S. West Texas Intermediate (WTI) futures were down 2 cents, or less than 0.1%, to $82.42, after rising more than $1 in the session.

Brent is still up nearly 7% this month, and WTI nearly 10%.

"In a bull market it is usually Brent that leads the way higher, but this time around (U.S.) domestic issues provide extra support for WTI," said Tamas Varga, oil analyst at London brokerage PVM Oil Associates.

"The recent hurricane season proved to be so disruptive that (U.S.) producers have not fully recovered from the damage caused by (Hurricane) Ida."

With temperatures falling as the northern hemisphere winter approaches and heating demand increasing, prices of oil, coal and natural gas are likely to remain elevated, traders and analysts said.

Colder weather has already started to grip China, with close to freezing temperatures forecast for northern areas, according to AccuWeather.com.

Coal futures in China rose as much as 7.8% on Tuesday, while riskier assets such as equities also gained.

The rising coal and natural gas prices in Asia are expected to cause some end-users to switch to lower-cost oil as an alternative. 

While it is still uncertain how long the imbalance will affect the oil market, oil traders seem convinced that we are in for a high-price winter, said Rystad Energy analyst Louise Dickson.

However, the power crunch that is sending prices higher is also hurting Chinese economic growth, which fell to its lowest in a year, official data showed on Monday. 

China's daily crude oil processing rate also fell last month, dropping to the lowest level since May last year. 

Helping to keep a lid on prices, U.S. oil output is set to rise. Production in the largest shale formation in the world's biggest oil producer is expected to gain further next month, the Energy Information Administration said. 

(Reporting by Bozorgmehr Sharafedin Additional reporting by Aaron Sheldrick in Tokyo Editing by David Goodman) ((bozorgmehr.sharafedin@thomsonreuters.com; Twitter: @bozorgmehr;))