By taking a number of cases of fissures lying in various directions
and drawing the ellipsoidal waves which would result from an elastic
pressure, like that of steam suddenly admitted into such cavities, the
differences in effect which would be simultaneously produced by these
waves on reaching the surface can be readily understood. The following
example of an investigation on this subject will serve as an example to
illustrate the general nature of the many other cases which might be
taken.
[Illustration: FIG. 33.]
Let a disturbance simultaneously originate from all points of the
fissure _f_ _f_. This will spread outwards in ellipsoidal shells to
the surface of the earth _e_ _e_. The major axis of these ellipsoidal
shells will be the direction of greatest effect. In the direction _c_
_d_ the waves will plunge into the earth, and places to the right side
of the fissure will, to use an expression due to Stokes, when speaking
of analogous phenomena connected with sound, be in _earthquake shadow_.
The same expression has been employed, somewhat differently, when
speaking of the effects produced on buildings.
For places, like _s_ and _p_, situated at equal distances from the
seismic vertical, it is evident that the intensity of the shock will be
different, and also its time of arrival. It will also be observed that
the isoseismals will take the form of ovals or distorted ellipses, the
larger or fuller end of which being to the left of the fissure.
Other cases, like those just given, which are discussed by Mallet in
his account of the Neapolitan earthquake, are where the fissure forms
the division between materials of different elasticities. In the hard
and more elastic material the waves will be more crowded, the velocity
of a wave particle will be greater, and the transit will be quicker
than in the less elastic medium.
The result is that the distance of equal effect from the seismic
vertical will be greatest in the direction of the more compressible
material.
Unless these considerations are kept carefully before the mind when
investigating the depth and, we may add, the position and form of the
centrum of an earthquake, serious errors may arise.
_Greatest depth of an earthquake origin._—A curious but instructive
calculation which Mallet made was a determination of the greatest
possible depth at which an earthquake may occur. This calculation is
based upon the idea that the impulsive effect of an earthquake has an
intimate relationship with the height of neighbouring volcanoes, the
column of lava supported on a volcanic cone being a measure of the
internal pressure tending to rupture the adjacent crust of the earth.
Mitchell, in 1700, virtually propounded this idea, when he suggested that
the velocity of propagation of an earthquake was related to the height
of such a column.[87]
Public-domain text, read in full here on John Shaqi.
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