Mathematics – Logic
Scientific paper
May 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983georl..10..373k&link_type=abstract
Geophysical Research Letters (ISSN 0099-8276), vol. 10, May 1983, p. 373-376.
Mathematics
Logic
17
Explosions, Lamb Waves, Rayleigh Waves, Seismographs, Volcanology, Ejecta, Force Distribution, P Waves, S Waves, Seismology, Time Functions, Wave Excitation
Scientific paper
It is shown that seismograms observed at Longmire, Washington, for four eruptions of Mt. St. Helens, those on May 18, June 13, August 7, and August 8, 1980, can be interpreted as Lamb pulses excited by a nearly vertical single force representing the counter force of the eruption. These data furnish reliable estimates of the impulse of the force K (time integral of the force), from which the total momentum and the kinetic energy, E, of the ejecta associated with the eruption can be estimated. The estimates made of K are 1.4 x 10 to the 19th, 1.4 x 10 to the 16th, 3.7 x 10 to the 15th, and 2.8 x 10 to the 15th dynes-sec for the four eruptions (given chronologically). The corresponding estimates for E range from 0.70 to 2.6 x 10 to the 23rd, 0.70 to 2.6 x 10 to the 20th, 1.9 x 10 to the 19th, and 1.4 to 5.3 x 10 to the 19th erg using values of ejecta velocity ranging from 100 to 375 m/sec. The ratio of K to the amplitude of the air wave excited by the eruption is found to be 20 to 40 times larger for the main event on May 18 than for the other events, indicating a significant difference in the eruptive mechanism. A digital seismograph in the vicinity of a volcano is shown to provide a simple means for quantifying the explosive power of a volcanic eruption.
Given Jeffrey W.
Kanamori Hiroo
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