You are the fat man eating pies who refuses to accept he's getting fatter until he sees the caloric analysis of his pie. Eating pies makes you fat. Substituting high EROEI fuels with low EROEI fuels reduces your net energy.I've set up a spreadsheet to try to analyse this, and even accounting for the reduced energy content of the liquids as well as the reduced EROEI on new production, a gradually reducing EROEI on existing oil supplies, and assuming your statements about an 8% decline rate for existing oil were correct, we'd still be getting something like a 0.7% increase in net energy content from the sort of annual rise in total liquid volume we've seen in the last couple of years.
But by all means make your spreadsheet. 8% per annum decline (Source: IEA) is a half rate of 9 years. So you are replacing (80/2=) 40 million barrels per day of hydrocarbon of EROIEs of 20-80 (residual stocks of pre-peak light sweet crude discoveries) in the next 9 years (2013+9 = 2022 = your inspection period) with a blend of accelerated remaining conventional stock of EROEI 20, and unconventional stock (liquidised peasant food, synthetic bitumen derivatives, etc.) of EROEIS 1-20. Additional growth will be supplied by a freak show of science projects, the energy requirements of which you will not be able to estimate but, even by their own estimates, will be of lower EROEIs than the fluids they are substituting.
Three scenarios:
(1) substitution takes place entirely with accelerated remaining stock (not physically possible)
(2) substitution takes place entirely with unconventionals
(3) substitution takes place at some intermediate blend which maintains current EROEI
Challenge: derive the mobilisation schedule of conventional stock necessary to offset unconventional stock substitution to maintain constant EROEI. Subtract the IEA depletion base case to derive the incremental volumes necessary to reverse the 2006 peak. State a $/bbl lifting cost to derive the *incremental* capital investment schedule necessary to reverse peak. Estimate the increase in post peak decline rate arising from your acceleration program and state its effect on the hydrocarbon dependent global industrial manufacturing system your solar projects will be depending on in 2022.
You are going to get in a right fankle since scenario (3) becomes scenario (1) if you are preserving EROEI and, even if (a) the physical system could respond to investment (b) the necessary capital could be manufactured (capital formation has ceased) such that you could maintain EROEI until 2020, the resulting accelerated depletion rate will crash the system. But looking forward to your analysis.