Size of great earthquakes of 1837–1974 inferred from tsunami data

TLDR

The Mt scale is distinct from the conventional tsunami magnitude m. The Mt scale is defined from the logarithm of maximum far‑field tsunami amplitudes, calibrated to the Mw scale, and applied to 65 Pacific tsunamigenic earthquakes from 1837–1974. Among the 65 events, the 1960 Chilean earthquake had the largest Mt of 9.4, nine events exceeded Mt 9, clustered around 1840, 1870, and 1960, and six earthquakes displayed tsunamis disproportionately large for their surface‑wave magnitude.

Abstract

A new magnitude scale M t is defined by using the logarithm of the maximum amplitude of far‐field tsunami waves measured by tide gauges or their substitutes. The M t scale is experimentally adjusted to the M w scale introduced by Kanamori (1977), so that the M t scale measures the seismic moment of a tsunamigenic earthquake as well as the overall size of tsunami at the source. M t and the conventional tsunami magnitude m are distinct scales. By using many amplitude data of tsunami waves now available the values of M t are assigned to 65 tsunamigenic earthquakes that occurred in the Pacific area during the period from 1837 to 1974. The 1960 Chilean shock has the largest M t , 9.4. The 1946 Aleutian ( M t = 9.3), the 1837 Chilean ( M t = 9¼), and the 1964 Alaskan ( M t = 9.1) events follow. Nine great events having M t = 9 or over occurred during this period, and their occurrence is clustered in the years around 1840, 1870, and 1960. Of all the 65 events listed, at least six unusual earthquakes having tsunamis with an amplitude disproportionately large for their surface‐wave magnitude M s are identified from the M t ‐ M s relation.