If you discover more than ten years of reserves, politicians are apt to take it away from you.
So for the last hundred years or so, the world has only had ten years worth of proven oil reserves left and has been about to run out in ten years or so. In fact the world has only had about ten years of anything left for the past hundred years or so.
King Hubbert created a composite, mega-decline curve that predicted U.S. crude oil production would peak in the 1965-70 time period. But, of course, it did not decline. So his prediction was retroactively relabelled “Lower 48 states Oil Production”. Which retrodiction was true – for a while. Retrodictions always are. See global warming for example.
Well, for some time US oil production in the lower 48 states has been increasing. So it was re-relabelled “Lower 48 states conventional oil Production” The new story was that fracking has intolerable environmental and financial costs, so is not a practical replacement for old type oil production.
When Trump stopped the government from funding and organizing people to protest fracking, the intolerable environmental costs mysteriously vanished in a puff of smoke, and when Trump made it easier to get permission to frack, so did a large part the economic costs, with the result that US frackers are now giving the Saudis a hard time.
For a given technology, and a given price, a given oilfield or group of oilfields does indeed follow a Hubberd Curve, and you can use the curve to estimate what the real reserves are. (They are usually enormously greater than the official reserves.)
Although science has been stagnating since Harvard got the upper hand over the Royal Society, technology that makes money continues to advance. We have a problem with new blue sky technologies. No one in the west is developing new technologies any more, just polishing up existing profitable technologies. We are not getting any replacement for chip patterning using one hundred and ninety three nanometer excimer laser lithography, just ever more minute improvements in excimer laser lithography, with the result that Moore’s law has run out of puff. People keep talking about ten nanometer, but it is just not going anywhere. They keep saying they will use both one ninety and ten. If ten was working, would not use one ninety. If they were talking ninety nanometer, rather than ten, then I would be impressed. If someone could make money out of supersonic jets, we would get better and better supersonics, but instead, planes are slowing down, not speeding up. But people could make money out of drilling and stimulating oil fields, so drilling and oilfield stimulation got better and better, and continues to improve.
Physical resources are effectively infinite, in that physical limits to growth are unlikely to be a significant problem in the reasonably foreseeable future. The problem is social decay.