* Oil falls more than $3 after U.S. crude stocks rise
* U.S. Fed lead round of interest rate cuts
* Global economic weakness threatens fuel demand
(Updates throughout)
By Joe Brock
LONDON, Oct 8 (Reuters) - Oil prices fell by more than $3 on Wednesday after U.S. government data showed a big increase in crude stocks and a big drop in demand, underlining expectations economic weakness will erode fuel consumption.
In volatile trade, the market had earlier fallen by more than $4 to a 10-month low and then briefly rose into positive territory after news of a wave of U.S.-led interest rate cuts designed to shore up the global economy.
U.S. light crude for November <CLc1> delivery was down $3.01 cents at $87.05 a barrel by 1514 GMT.
London Brent crude <LCOc1> fell by $2.66 to $82.00.
Data from the Energy Information Administration showed U.S. crude stocks had risen by 8.1 million barrels as inventories recovered from storm disruptions, much more than the 2.3 million-barrel build forecast by analysts.
It also showed gasoline stocks had increased by 7.2 million barrels compared with forecasts for a 1.1 million rise, while total demand for products over the past four weeks was down by 8.6 percent compared with a year before.
"Inventories are recovering off the back of the hurricane, and we're rebuilding lost barrels from the last three weeks." said Mark Kellstrom, an analyst at Strategic Energy Research.
"It looks negative for the crude market but inventory levels are still on the low side, and we would argue that it's more than discounted in the price of crude oil."
Early in the session U.S. crude had fallen to $86.05, its lowest since Dec. 6, 2007, after British government action to prop up its banks failed to reassure financial markets and oil traders anticipated oil demand would fall.
Financial markets rallied collectively after the U.S.-led rates cuts.
The U.S. Federal Reserve said it was cutting its key rate by 50 basis points to 1.5 percent.
Other banks cutting interest rates also included China, which reduced its key rate by 27 basis points. Surging oil demand in China and elsewhere in Asia played a large part in oil's sustained rally that culminated in a record of $147.27 in July this year.
Many analysts had predicted fuel demand in China would remain strong even if it plummeted in the United States, the world's biggest energy consumer, but concern has mounted that the Chinese economy will not escape global economic turmoil.
Members of the Organization of the Petroleum Exporting Countries (OPEC) have said they have become uneasy about oil's sharp price drop from the record highs hit earlier this year.
Nigeria's oil minister on Wednesday was among the latest to say OPEC might need to reduce output.
"There may be a need to intervene to balance the market if the price slide seemingly predicted on (lower) demand and over-supply continues," Odein Ajumogobia told Reuters.
OPEC's next scheduled meeting is in Algeria in December. (Additional reporting by David Sheppard; Editing by Barbara Lewis and Anthony Barker)