Ingenious idea - let's play with it :).
In September 2012 a Boston-based energy group announced that it expected to complete an 800MW natural gas power plant in Oregon within 4 years at an expected cost of $850 million [1]. Let's use this as our naïve project cost paid up-front in equity. Thus, production begins at t+4 (2017).
Let's use uvdiv's estimate [2] of $220 million of natural gas being flared each year. Let's create a paramater, capture, for the fraction of the flared gas one is able to burn in the plant. I have no idea how to estimate this; it shall be the variable we solve for. Given that from 2008 to 2011 Chesapeake Utilities Corporation (NYSE:CPK), a natural gas distributor (close enough), ran a quck-and-dirty EBITDA margin of about 40% [3] we'll assume our annual cash flows from the operation be around $220 million * capture * 40%.
The State of North Dakota believes the Bakken wells "will take 15-20 years to develop" [4]. Some guy on the internet (in the Oil & Gas Journal) thinks the fields could sustain for 30 years [5]. Thus, we are going to assume a constant quantity of natural gas gets flared each year from now until 2045. Actually, it's worse than that, since we're assuming a constant $220 million of natural gas being flared (you hedged natural gas prices for the next thirty years with IKB Deutsche Industribank).
Chesapeake Utilities pays about 6% YTM on its 2031 non-callable bond [6]; we're going to use that as our discount rate.
Assuming the universe explodes in 2045, i.e. ignoring the salvage value/cost of the plant after thirty years, our hypothetical natural gas power plant breaks even provided you can capture at least 85% of the flared gas.
Let's allow natural gas flaring, and thus our cash flow production, to decline by 3% annually (approximate decline in U.S. petrol production from 1980 to 2000) for 20 years from 2045 through 2065. Given that we built our model around the cost of an 800MW plant, I allowed both the cost of the plant and capture efficiency to vary; here are the results: http://imgur.com/h9yaa. I'd say plausibility is sustained.
∴ Back-of-the envelope it doesn't look like a strikingly profitable proposal, but with proper connections to the national electricity grid and some clever financing it could be a deal. Bakken & Three Forks is only half a decade old.
[1] http://www.toledoblade.com/Energy/2012/09/06/Natural-gas-fir...
[2] http://news.ycombinator.com/item?id=5073583
[3] http://www.google.com/finance?q=NYSE%3ACHK&fstype=ii&...
[4] http://www.nd.gov/ndic/ogrp/info/g-015-033-faq.pdf
[5] http://www.ogj.com/articles/print/vol-110/issue-4/exploratio...
[6] http://reports.finance.yahoo.com/z2?ce=571504915152148601684...