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Georeactor
Jaro,
Thanks for the reply. I accept that the directional/delayed coincidence
method would work. Pretty neat trick. However, I'm having problems
accepting the premise of a georeactor in the core for the following reasons:
Uranium is not expected to concentrate in the core like the platinum metals
such as iridium. It's chemical properties cause it to fractionate into the
crust. The earth's crust contains about 1.4 ppm of uranium on average while
meteorites contain about 0.008 ppm. Meteorites are thought to better
represent the mantle/core. See for example:
http://www.uic.com.au/nip78.htm
I also see a problem with the physics. The U238 decay chain releases about
52 MeV per decay(8 alphas and several betas). A U235 fission releases about
200 MeV. So for the U235 fission to reach the energy output of the U238
decay chain the fission rate would have to be 25% of the U238 decay rate.
Since U235 is about 0.7% of uranium present day, the partial half-life due
to fission would have to be about 1.6E8 years to reach the energy output of
the U238 decay chain. This is more than 4 times shorter than the physical
half-life of U235. Without breeding all of the U235 would have been burned
up in fission by now.
Given today's natural abundances, the ratios of fission cross section in
U235 vs. the capture cross section in U238 are such that the fission and
capture rates are similar depending on the neutron spectrum. So in earlier
times the fission rate would have exceeded the capture rate until the U235
abundance reached a balance with the breeding rate. Without doing a lot
more calculating I can't say this would save the possibility. I would say
that it would be very fortuitous if it did, and one would expect that
U235/U238 ratios would be different from the crustal material we observe
today.
I found a reference online (which I failed to bookmark) that estimated the
average heat loss from the earth to be 70 to 80 milliwatts per square meter.
This is a difficult number to measure BTW since noon insolation reaches 1 kW
per square meter, temperature gradients are hard to characterize. The earth
is about 5E14 m^2 so we need about 4E13 watts 40 (TW) to match this heat
loss, less power is needed since it is thought that the earth is cooling.
If I plug in the concentrations from uranium given above to various parts of
the earth's structure I come up with way too much heat from the U238 chain
using crustal concentration, and too little power using meteoritic
concentration. The lower mantle makes up almost half the earth's mass, and
should have an intermediate concentration of uranium. Oh and I forgot to add
in thorium and potassium which contribute as well, and fractionate in a
similar way to uranium.
Dale
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