According to this guy:
"Paul Mobbs, Mobbs' Environmental Investigations and Research,
3 Grosvenor Road, Banbury OX16 5HN.Tel./fax 01295 261864. Email
meir@fraw.org.uk.
© Paul Mobbs, March 2005. Released under the Gnu Free Documentation License.
Published in Oxford Energy Forum, the quarterly journal of the Oxford Institute for Energy Studies,
Issue 61, May 2005. (see
http://www.oxfordenergy.org/ for details of the OIES).
At the current level of uranium consumption (67,000 tonnes per year) known uranium resources (2.8 million tonnes of uranium) would last 42 years – a fact highlighted by the European Commission in their Energy Green Paper [EC 2001]. The known and estimated resources plus secondary resources (such as the military inventory), a total of around 4.8 million tonnes, would last 72 years. Of course this assumes that nuclear continues to provide just a fraction of the world's energy supply. If capacity were increased six-fold then 72 years would reduce to 12 years. This is because nuclear energy, in terms of global energy supply, must increase by a factor of four to eight to make any significant difference to the use of fossil fuels around the globe. Consequently the expected lifetime of the uranium resource would fall by a similar factor.
The actual lifetime of the uranium resource will depend upon the technologies adopted as part of any new nuclear capacity. New reactor designs are more thermally efficient (up to 45% to 50% rather than 30% to 35%) which could extend the lifetime of the uranium resource by a factor of 1.7. Introducing a number of fast breeder reactors, to increase the efficiency of uranium consumption, might increase the lifetime of the uranium resource by a factor of 2. Even so, taking these two factors together alongside a six-fold increase in capacity, the lifetime of the known and estimated uranium resource would still be less than 50 years...
It would be unwise to advocate adopting the nuclear option when we have no realistic idea of how long the uranium resource will last. Clearly the 'once through' cycle has no future – if the world were to adopt the 'once through' option the world's uranium resources would be exhausted in a few decades. We would very quickly shift from shortages of oil and coal to shortages of uranium [Mobbs 2005]. The principle solution to the problem of the 'once through' cycle, adopting a more 'closed' cycle using fast breeder reactors, is itself fraught with dangers. There is no tried and tested fast breeder technology. In addition the scale of the increase in nuclear capacity required to displace fossil fuel is such that the lifetime of the resource would still be a matter of decades, not centuries. For this reason it may be that the longevity of the uranium resource, quite apart from the issues of waste or radioactivity, could be more significant to the future viability of the nuclear industry."
http://www.fraw.org.uk/mobbsey/papers/oies_article.html