: JRStern <JRS...@foobar.invalid>
: What if we borrowed the charge suppressor from Ringworld and cut a 100
: mile deep trench in the Earth's ocean, a couple of miles wide. That's
: right through the current crust, and it would be hot on both sides, to
: begin. Would the crust in effect "heal", even with that trench still
: open,
Yes. Note that all existing sea floor on earth was created under water,
at points where the sea floor is beign pulled apart (to a first
approximation). (Well, actually, more like upwelling and sliding
down a (slight) incline, but still... the raw magma gets solidified,
and there's no particular reason it shouldn't under deeper water also.)
: (actually I guess magma would well up and fill it most of the way back
: to the surface, let's assume unmagmanimously it doesn't do so, due to
: obscure secondary effects of the magic trencher)
You can't really carve kilometers-deep features into rock.
It isn't strong enough in 1g. So the excess weight outside the
trenched out area will deform the rock (and/or magma) until the
feature is shallow enough to hold its shape. And given that the
floor of the trench is magma, and has very little strength, that'd
be pretty shallow.
: What would be the equilibrium temperature, would SW get his Ice VI, or
: would there be MUCH more conduction of heat that far down for reasons
: of pressure,
Conduction through what? And why would pressure affect the
thermal conductivity of either water or rock?
: or because of the geometry, or for some other obscure reason? I guess
: (!) it is conduction and the radioactive heating is mostly (all) at
: the core, if it were also ongoing throughout the mantle at even modest
: rates that would change the answer, I think.
The core is mostly iron, and nucleonically stable. The various radioactives
are scattered throughout the mantle, near as I recall.
http://en.wikipedia.org/wiki/Geothermal_gradient
Much of the heat is created by decay of naturally radioactive
elements. An estimated 45 to 90 percent of the heat escaping from the
Earth originates from radioactive decay of elements within the mantle.
Mostly thorium and potassium, with some uranium.
Mean mantle concentrations are listed in a table on the above web page.
: But if you take up a significant amount of crustal depth with water,
: do you still get the same crustal thickness underneath?
Yes.
: I hesitate to assume that,
Not an assumption. It's a conclusion, based on the fact that the temperature
at the top of the rock is somewhere close to 0c, and the heat flow is
a tenth-watt per square meter... that dictates the thickness of the
rock crust that will form. Unless I'm overlooking something.
You know the heat flux through a given surface area, and you know the
insulating properties of solid rock, so you know the temperature gradient
within that rock, so you know how thick it gets before the bottom melts.
Granted, I'm not churning actual numbers, but since we're postulating
rock similar to that on earth, and heat flux similar to that on earth,
you'll get similar thickness. Seawasp sez, more tectoncially active
than earth, so that might imply higher heat flux, so the crust might be
thinner, but I don't think that much thinner... and most of the excess
heat would have to come up at tectonically active fetures such as mangle
plumes or seafloor spreading sites.