Efficiency of Biofuel production
Proponents of biofuels claim that amount of fuel produced by the processes is greater than the amount of fossil fuels consumed in producing this fuel. I won't dispute this claim at this time, but I would like to point out an aspect of the problem that I haven't seen discussed so far. It involves a bit of algebra, which I will walk through. If you have no patience for algebra, you can just take my word for it and skip the next two paragraphs.
Let e be the efficiency of the process (amount of fuel produced divided by amount of fuel consumed), expressed as a fraction. The amount of fuel consumed should include *all* the fuels consumed by every operation involved; manufacturing fertilizer and pesticides, running the tractors and combines, delivering the crop to the distillery, *everything* except sunlight. I realize that these processes consume different types of fuels than what is produced, but I am assuming for now that there is a rule for expressing an amount of one type of fuel equivalent to an amount of a different type of fuel. The fraction e should be greater than one, or else the process is a net loss in terms of energy. Before someone claims that this is impossible, remember that sunlight is an input to the plant growth process that is not a form of fuel consumption. All of the net energy "profit" in the manufacture of biofuels comes from sunlight.
If c is the amount of energy consumed by the process (expressed in terms of fuel), p is the total amount of fuel produced, and n is the net amount of fuel left over for sale, then we have the following two equations: e = p/c (definition of efficiency), and n = p-c (net fuel production is total fuel production minus the fuel consumed by the process). I would like to express total production in terms of net production, or p in terms of n. The first equation can be re-arranged into c = p/e, and plugged into the second to yield n = p-(p/e) or n = p*(1-(1/e)). Isolating p we get: p = n/(1-(1/e))
OK, finally I can get to the point. "Total production equals net production divided by the quantity one minus the inverse of efficiency" means that much more biofuel than you would expect must be made in order for the process to be self-supporting in terms of energy. I have heard claims from ethanol advocates that the ethanol production process is anywhere from 140% to 160% efficient. I will pick a value in the middle and assume that e = 1.5. In this case, 1/(1-(1/e)) is 3. In other words, you must grow three times as much fuel as you hope to sell, and end up using two thirds of your total production just running the process. If we intend to replace a significant amount of our petroleum consumption with ethanol consumption, then enough fuel crop must be grown to produce *three times* that much ethanol. Do we have that much cropland available?
Of course, what is happening in practice is that farmers row the fuel crops using petroleum fuels in their equipment, buying fertilizer manufactured in factories that are powered by coal-fired generators, etc. There is the dilemma: If you run the biofuel industry on fossil fuels, you don't save much in terms of either energy or atmospheric carbon; if you run the biofuel industry on biofuels, you have to use a *stupendous* amount of cropland. Running the fertilizer, pesticide, and distillation processes off of non-fossil fuel energy sources such as wind, solar, or nuclear helps, but I have to wonder if it wouldn't be more efficient to use these energy sources to synthesize fuels directly, and skip the agriculture. Using waste biomass as feedstock is great until your business gets big enough that you start creating a *demand* for waste biomass, and have to bid against competing buyers. (One unexpected side effect of thermal de-polymerization is that turkey guts acquired monetary value.)
Does anyone know what sort of efficiency values are being claimed for algae-based biofuels? If you can get "e" up to 3, you only need to produce 50% more fuel than you intend to sell.
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