by AdamB » Fri 22 Jul 2016, 10:48:06
$this->bbcode_second_pass_quote('ROCKMAN', 'p')starr - And what really made Hubbert a star in his day wasn't so much the PO date prediction but recognizing that oil field size distribution followed a near perfect log-normal distribution.
What might the standard deviation be on a "perfect" log-normal distribution Rockman?
And Hubbert doesn't tend to get create for discovery process modeling basics, Arps and Roberts do. I haven't even ever seen a Hubbert explanation for the economic truncation effect, which is part and parcel of why a discovery distribution is a log normal. If the economic truncation is stripped away, you have more than a few people arguing for a pareto, I believe canada uses a model based on just such a distribution. The USGS plays a different game, using a truncated and shifted log-normal, and the agency formerly known as MMS uses a REALLY old version of the same idea, again log normals.
But I don't know what a "perfect" log-normal is Rockman. Or Hubbert figuring it out prior to Arps and Roberts. You see it as a common reference in resource assessment methodology, particular that coming from the USGS.
Gordon Kaufman is one of the past masters of this type of statistical method, here is one of his papers discussing quite a bit of it, and notice the Arps and Roberts reference.
http://dspace.mit.edu/bitstream/handle/ ... .pdf?sequeThe Arps and Roberts reference is this:
Arps, J. K. and T. G. Roberts (1958). "Economics of Drilling for Cretaceous
Oil and Gas on the East Flank of the Denver-Julesberg Basin."
American Association of Petroleum Geologists Bulletin 42(11): 2549-
2566.
If you are interested in the Survey explanations of the economic truncation effect, Emil has a reference in the same paper:
Attanasi, E. D. and L. J. Drew (1985). "Lognormal Field Size Distributions as
a Consequence of Economic Truncation." Mathematical Geology 17(4):
335-351.
I haven't seen Gordon since about 2010, he might be retired and moved on by now, but Emil still works for the Survey, although many of his colleagues who did ground breaking work in this arena have moved on.
For those interested in a less technical discussion on how this stuff works, I recommend Larry Drew and his book, he was around when "the rockets were born" as well.
https://www.amazon.com/Estimation-futur ... +drew+usgs$this->bbcode_second_pass_quote('Rockman', '
')Turns out Mother Earth loves log-normal distributions. You can search that phenominon if interested. Kinda ties in with Fibonnaci numbers, another very interesting NATURAL phenomenon.
Depends upon your exclusion or inclusion of the economic truncation effect I suppose.
The only reason I am familiar with this issue is because the US and Canada Survey's had to come to grips with different answers back when the Canadians were trying to get up to speed with US geologically based assessments. The two Survey's calculated different numbers, and needed to hash out the "why". Economic truncation causes international incident!
But if you've got Hubbert showing data with log normal fits and explaining or theorizing anything on the sample without replacement issue as a means of casting undiscovered fields going forward, I would really like to see it. The USGS once used Hubbert's reserve growth equations, but their literature references for the method used in discovery process modeling starts with Arps and Roberts.