* Libyan disruption cuts 850,000 bpd of oil from market
* Canada outage drains U.S. crude, product inventories
* High fuel prices, trade disputes threaten to crimp demand
* Trade row turbulence pulls Asian shares to 9-month low (Updates prices, paragraphs 2-3)
LONDON, July 3 (Reuters) - Oil prices rose on Tuesday after Libya declared force majeure on some of its crude exports, while the loss of Canadian supplies helped lifted U.S. crude to 3-1/2-year highs.
U.S. light crude jumped 90 cents, or 1.2 percent, to $74.84 a barrel, its highest since November 2014, before easing back to $74.74, up 80 cents, by 1000 GMT.
Benchmark Brent crude oil was up 50 cents at $77.80.
Production at Syncrude Canada's 360,000 barrels per day (bpd) oil sands facility near Fort McMurray, Alberta, was hit by a power outage last month and is likely to remain offline through July, helping drain U.S. inventories.
A Reuters survey estimated U.S. crude oil stockpiles fell for a fourth consecutive week, by about 3.3 million barrels, in the week ended June 29.
Stocks of gasoline and middle distillates such as heating oil and diesel fuel also drew, the survey showed.
Libya's National Oil Corp (NOC) declared force majeure on loadings from Zueitina and Hariga ports on Monday, resulting in 850,000 bpd of supplies being disrupted.
"Oil bulls seem to have returned after Libya suspended oil exports from two key ports," said Hussein Sayed, chief market strategist at futures brokerage FXTM.
"If Libya's oil doesn't return fast to the market it will be an important test to OPEC's spare capacity, especially given that output from Venezuela and Iran is expected to fall significantly in the next couple of months," he added.
The Organization of the Petroleum Exporting Countries pumped 32.32 million bpd in June, a Reuters survey showed, up 320,000 bpd from May. The June total is the highest since January 2018.
The UAE's Abu Dhabi National Oil Co (ADNOC) said on Tuesday it could increase production by several hundred thousand bpd if needed.
Oil prices have been buoyed by tightening supplies this year but there are signs demand may now be easing.
In Asia, the world's top oil consuming region, seaborne oil imports have been falling since May, as higher costs turned off consumers and as the escalating trade dispute between the United States and China started to impact the economy.
Chinese stocks fell sharply on Tuesday, with equity markets in Asia near nine-month lows as investors fear the Sino-U.S. trade row could derail a rare period of synchronized global growth.
(Additional reporting by Henning Gloystein in Singapore; Editing by Jan Harvey)