petroleumengineering: More Songs About Oil and Gas

--Update: A Pilgrim's Progress--
I have several objectives for my approach to modeling fossil fuel depletion, any one of which I don't mind achieving.

Introducing something fundamentally new to the discussion.
Going beyond the heuristics and empirical relationships that I see plastered everywhere, to an approach mathematically-inclined people can understand (the rub).
Resurrecting some old but perhaps forgotten techniques buried in the literature (so far nothing has shown up, or has it?).
Showing analogies to other physical processes, like an RC circuit in electronics or a 1st order damped system in mechanical dynamics.
Using the formulation to historically analyze or make predictions based on current data.
Demonstrate an alternative to and weaknesses of the conventional approaches such as the logistic curve and gaussian (questioning empiricism).
Come up with an open-source modeling environment, where I can make all source code and data available to the public.

And above all, try to make the constituent parts fit together tighter than a litter of suckling piglets. Because therein lies the way to making progress in a purely meritocritous blogosphere.

So this blog entry once again contains categorized oil depletion modeling posts that I have written over the last half-year. By and large, I have proceeded from a micro world view to a macro view, while adding interesting details that help me gain insight into how other mathematically-inclined people understand our current Peak Oil predicament.

A Micro Peak Oil Model: Part 1 | Part 2 -- Stochastic analysis on the small scale
A Macro Peak Oil Model: Part 1 | Part 2 -- Stochastic analysis on the large scale
The Oil Shock Model: Intro | Continuous -- How disturbances affect depletion
RC Circuit (CAD simulation) -- Analogies to other processes
Code -- Generalized oil shock model program source code