_The Absolute Intensity of the Force exerted by an Earthquake._—No
doubt it has occurred to many who have experienced an earthquake
that the power which gave birth to such a disturbance must have been
enormously great. The estimates which we shall make of the absolute
amount of energy represented by an earthquake cannot, on account of the
nature of the factors with which we deal, be regarded as accurate. They
may, however, be of assistance in forming estimates of quantities about
which we have at present no conception. One method of obtaining the
result we seek is that which was employed by Mallet in his calculations
respecting the Neapolitan earthquake. Although disbelieving in the
general increment of temperature as we descend in the earth at an
average rate of 1° F. for every fifty or sixty feet of descent, for
want of better means. Mallet assumes this law to be true, and, knowing
from a variety of observations the depth of various parts of the cavity
from which the disturbance sprang, he calculates the temperatures of
this cavity in various parts as due to its depth beneath the surface.
Next, it is assumed that steam was suddenly admitted into this cavity,
which might exert the greatest possible pressure due to the maximum
temperature. This was calculated as being about 684 atmospheres.
Next, he determined the column of limestone necessary to balance such a
pressure, which is about 8,550 feet in height. As the least thickness
of strata above this cavity was 16,700 feet, the pressure of 684
atmospheres was not sufficient to blow away its cover, but if suddenly
admitted or generated in the cavity it might have produced the wave of
impulse by the sudden compression of the walls of the cavity.
The pressure of 684 atmospheres is equivalent to about 4·58 tons on
the square inch, and, as the total area of the walls of the cavity is
calculated at twenty-seven square miles, the total accumulated pressure
would be more than 640,528 millions of tons. Mallet, however, shows
that it is probable that the temperature of the focal cavity was much
greater than that due to the hypogeal increment, and that therefore the
pressure may have been greater.
The capability of producing the earthquake impulse, however, depends
on the _suddenness_ with which the steam is flashed off. According
to the experiments of Boutigny and others, Mallet tells us that the
most sudden production of steam would take place at a temperature of
500°-550° C., which is but a few degrees below that calculated for the
mean focal depth.
Assuming the above calculated pressure to be true, and knowing the
co-efficient of compression of the materials on which it acted, the
volume of the wave at a given moment near the instant of starting—that
is, at the focus—can be calculated, and from this the wave amplitude on
reaching the surface may be deduced.
Public-domain text, read in full here on John Shaqi.
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