More on the Somigliana waves (Ci.j and PL)

Previously Caloi has shown how a few corrections and<br />rectifications of a theory on surface waves published by Carlo Somigliana<br />in 1917, permit a quite new interpretation of the classic Rayleigh equation.<br />In the light of this new interpretation, contrary to the Rayleigh theory,<br />the real roots greater than 1 of the velocity equation have a correct physical<br />meaning. More than a period of thirty years of useless attempts,<br />one of use f1-2-7), finally, have reached a strict theoretical justification<br />about conspicuous systems of typical surface waves, which start at the bottom<br />of the Earth' crust layers, when the angles of incidence of the longitudinal<br />waves or transverse waves are effective. These are the so-called PL¡,¡ and<br />Ci,¡ waves.<br />These waves are very interesting because they evince a new mechanism<br />of elastic waves propagation, and they permit to study the fundamental<br />characteristics of the crust stratifications. Owing to the considerable<br />wave-lenghth, Somigliana waves present appreciable advantages as<br />compared to ordinary longitudinal waves or transverse waves, both they are<br />not subjected to phenomena of anomalous dispersion (see the case of the ordinary<br />body waves of high frequency), as well as for they indicate the<br />existence of discontinuities in the likeness of transition-zones, which generally<br />escape the investigations when the same are performed by ordinary<br />longitudinal waves and transverse waves.<br />Besides the new very clear examples of these particular types of waves —<br />very often of remarkable amplitude — the Authors study the limits in which<br />the Somigliana waves rise: then waves may start also at the greatest<br />distances (like the Co,2 waves), and sometimes they form the most large<br />phase of a seismogram.

Abstract licence: CC BY

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