* Oil slips in volatile trade, demand worries in focus
* Iran says U.S. presence at nuclear talks "positive"
* Losses limited by supply problems in Nigeria, Canada (Updates throughout, changes dateline from LONDON)
NEW YORK, July 17 (Reuters) - Oil prices slipped on Thursday, adding to a decline of more than $10 this week, on worries over U.S. demand and easing political tensions between Iran and the West over its nuclear program.
Thursday's losses were limited, however, by fresh supply disruptions in Nigeria and Canada that together pulled nearly 200,000 barrels per day off the market.
U.S. crude <CLc1> fell 78 cents to $133.82 a barrel at 1620 GMT. It slid $4.14 on Wednesday, taking the drop from last Friday's all-time peak of $147.27 to more than $10.
London Brent crude <LCOc1> fell 71 cents to $135.10 a barrel.
Dealers said the bulk of the downward push on crude oil in recent days has been concern that mounting economic trouble in the United States was cutting deeply into demand for fuel in the world's biggest energy consumer.
"Consumers are being pinched between higher costs for necessities and lower real wages. The end result is falling demand almost across the board," said Peter Beutel, president of Cameron Hanover.
A U.S. government report Wednesday showed U.S. oil product demand over the past four weeks running 2 percent below a year ago in a sign soaring pump prices were hitting consumption.
Dealers added that apparent easing tensions between the United States and Iran over its nuclear program have reduced some of the geopolitical risk premium in the oil market.
The United States said on Wednesday it was sending an envoy to Geneva to join nuclear talks with OPEC-member Iran for the first time, to underline to the Islamic Republic and others that Washington wanted a diplomatic solution to the impasse.
Iran's foreign minister said on Thursday U.S. participation in the nuclear talks was "positive."
Trimming oil's losses on Thursday was news that an attack on an oil pipeline in Nigeria, the world's eighth-biggest oil exporter, shut 20,000 barrels per day of crude production. [
]Italian oil company Eni said it had temporarily shut down production of 47,000 bpd of production in Nigeria because of loss of pressure in pipelines.
In Canada, Suncor Energy Inc <SU.TO> said a leak at a pipeline carrying synthetic crude and diesel from its oil sands fields in Alberta forced a halt of about 140,000 bpd of shipments. [
]Oil prices remain up about 35 percent this year, and up more than sixfold since 2002, driven in part by surging demand from developing economies in Asia and worries that world production growth won't be able to keep pace. (Reporting by Santosh Menon in London, Luke Pachymuthu in Singapore and Gene Ramos in New York; Editing by Walter Bagley)