This seems to be the best explanation of the facts recorded by Mallet.
There is, however, a possible difficulty that should not be
overlooked--namely, the apparently slight influence of the Montemurro
focus on the mean direction of the shock (Fig. 9). At a few places, of
course, the mean direction passes through both epicentres; at some
others, as we have seen, one of the two observed directions points
towards the Montemurro epicentre. It is not impossible, also, that
Mallet, after the first few days' work, may occasionally have quite
unconsciously selected and measured those fissures from the maze
presented to him which agreed most closely with his early impressions
obtained from the neighbourhood of Polla. But, for places nearer Polla
than Montemurro (and these form the majority of those visited by
Mallet), the probable explanation of the difficulty is that the
Montemurro focus was not so deep as the Polla focus. This, as will
appear more fully in the next chapter, would account for the
comparatively great intensity in the immediate neighbourhood of
Montemurro and for its rapid decline outwards; and it receives some
support from an isolated reference by Mallet to two angles of
emergence at Padula, one of 25° from the north, and the other of 8° or
10° in the perpendicular walls.
ELEMENTS OF THE WAVE-MOTION.
The elements of the wave-motion, as mentioned in the introductory
chapter, are four in number, namely, the period, amplitude, maximum
velocity, and maximum acceleration. If any two of these are known for
each vibration--and the first two are now given by every accurately
constructed seismograph--the others can be determined if the
vibrations follow the law of simple harmonic motion.[15]
_Amplitude._--To ascertain the amplitude, Mallet had to rely chiefly
on the fissures made in very inelastic walls. If the parts into which
such a wall are fractured are free to move, and yet, being inelastic,
obliged to remain in the farthest position to which they are carried
by the wave, the distance traversed by the centre of gravity of one of
the displaced parts should give a "rude approximate measure" of the
horizontal amplitude of the earth-wave. At Certosa, near Padula, he
thus found the amplitude to be about 4 inches, at Sarconi about 4-3/4
inches, and at Tramutola about 4-1/2 inches. From somewhat similar
evidence, the amplitude at Polla appears to have been about 2-1/2 or 3
inches; and, from the oscillation of a suspended clock or watch on a
rough wall, about 3-1/2 inches at La Sala and 1-3/4 inches at
Barielle. With the exception of Barielle, these places lie nearly on a
straight line passing through Mallet's epicentre, and he gives the
following table, showing an increase in amplitude with the distance
from the epicentre:--
Polla. La Sala. Certosa. Tramutola. Sarconi.
Distance in miles 4.0 13.4 19.0 23.8 30.8
Amplitude in inches 2-1/2 3-1/2 4 4-1/2 4-3/4
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