by Daphne64 » Mon 07 Dec 2009, 14:25:42
OK, I've got a degree in math, so I feel obligated to say something.
The only thing that comes to mind is that those bell curves they always show to illustrate peak oil, and the inevitable statement that the peak of oil production comes at the half way point of oil depletion don't necessarily apply.
Individual oil field extraction is not a bell shaped curve - but the assumption is that we have many oil fields (none of which is a big chunk of the whole) with randomized discovery dates, and when you add the production of all those fields together it will make a bell shaped curve (I dimly remember doing the proof of this in stats class, but that was long time ago).
However, some fields are outsized (ghawar, cantarell) and their skewed production curve can throw off the curve. There are all sorts of other factors that could make production lumpy - higher price points bringing tar sands into feasability all at once, etc.
I haven't done a whole lot of looking at this, but I don't think we can assume that approximately half the oil is left when production peaks.