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@gbj_tester
I wondered about that, but if we have a closed system, the earth can't radiate any heat. It was hot at formation, and has been constantly generating heat from nuclear processes ever since*. With no radiation the whole earth would achieve thermal equilibrium after a while. Since most of the mass of the earth is liquid now, it seems that the equilibrium temperature is going to be above the melting point of nearly everything, the crust would never solidify, so no oceans and therefore no vents.
*If you apply this power
http://phys.org/news/2011-08-radioactive-key-ingredient-earth.html
over the geological timescale, even disregarding whether the power output was higher earlier as you would expect from a big ball of nucleons gradually decaying down chains leading to stability, then
29TW × 4 billion years = 3.6e27J added to the total thermal energy of earth since assembly
divide by the mass
3.6e27/5.9e24 = 610J/kg
and it looks like the temperature would have risen by only a fraction of a degree