Without taking into consideration the increase of density in water
at 2 miles deep, at that depth we may suppose we have come to solid
matter, the specific gravity of which could not be less than twice that
of water, on account of the pressure of that depth of water upon it.
If we now go down 2-1/2 miles further we shall have the solid matter
subjected to a pressure proportioned to that depth; and if we take
its weight per cubic foot at an average between granite (at 163 lb.)
and earth (at 77 lb.), or 120 lb., the pressure at 2-1/2 miles deep
of solid matter alone will be about 700 tons per square foot, or just
about the crushing strain of our strongest granites, and therefore, the
density of the matter under it must be equal to that of granite, or
2·5 times that of water. We do not add the pressure of the water, at
present, because that may be looked upon by some people as of the same
nature as of the atmosphere upon a human body, which neither increases
the pressure upon it nor adds to its weight; but we see that at that
depth the solid matter must have a density equal to the average between
water on its surface and 2·5--that of granite; and if we choose to take
the average between 2 miles of water and 2-1/2 miles of solid matter,
we shall have 1·82 as the average density of the outer 4-1/2 miles in
thickness of the crust of the earth. For our purposes, however, and for
obvious reasons, we shall consider the average density of the 2-1/2
miles alone of solid matter to be 2·25 times that of water.
We shall now go down to 9 miles deep, because the diameter of 7918
miles we have adopted for the earth will there be reduced to 7900
miles, which will be convenient for our further operations. At that
depth we shall have a superincumbent pressure at the very least as
follows:--
Tons.
At 2 miles deep, 2 miles of sea at 150 tons per mile 300
2-1/2 " 2-1/2 " solid matter at spec. grav. 2·25
equal to 331·25 tons per mile 828
9 " 4-1/2 " of rock at 163 lb. per cubic foot 1730
----
Total pressure per square foot 2858
or just about 4 times the crushing strain of our best granites. Then,
as when crushing takes place compression begins, it will, we believe,
be far below the mark to estimate the general specific gravity of the
earth at 9 miles deep to be 3 times that of water.
Public-domain text, read in full here on John Shaqi.
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