“the net energy of oil extracted since 2005. Anyone know of an attempt to quantify it in those terms?”
On a country by country basis the increasing energy used for oil extraction is some component of the internal oil usage of the export land model.
https://en.wikipedia.org/wiki/Export_Land_Model
Surprisingly that wiki page shows very little editing over the past few years. It seems usual to the attribute the increase in internal usage to rising standard of living, air conditioning, etc. and not to falling EROEI.
Another consideration, if country A has10:1 EROEI then it can extract 11 barrels and export 10 to country B. Country B can run that through its 2:1 fields to produce 20 barrels, using 5 of those internally and exporting 15. So country B gets the effect of 15 barrels of consumption on GDP and is a net exporter to boot. But this all falls apart without the high EROEI imports from country A.
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