We applied the magnitude determination method of Hara (2007a, b) to
the April 3, 2014 Chile earthquake
(the origin time: 02:43:17 UTC; the location 20.400°S 70.135°W depth=40.0 km after USGS).
In this method, an earthquake magnitude, M, is calculated by the following formula:
where A is the maximum displacement (m) during high-frequency energy radiation
from the arrival time of a P-wave,
Δ is the epicentral distance (km),
t is duration (s) of high-frequency energy radiation.
The duration of high-frequency energy radiation is
estimated by band-pass filtering of first arriving P-waves.
Figure 1 shows an example of measurements of high-frequency energy radiation.
The estimated duration is 63.8 sec.
The estimated magnitude using the above formula is 7.71,
which is consistent with Mww 7.6 from USGS WPhase Moment Tensor Solution.
Fig. 1. An example of measurements of high frequency energy radiation.
The upper, middle and lower traces are an observed seismogram, the squares of
the band-pass (2-4 Hz) filtered seismogram, and its smoothed time series
(normalized by the maximum value), respectively. gAh and gFh in the lower
trace denote the arrival of P-wave and estimated end of high frequency energy radiation, respectively.
Acknowledgements
We retrieved BHZ channel waveform data, recorded at the Global Seismograph Network (GSN)
stations, from IRIS DMC (Incorporated Research Institutions for Seismology,
Data Management Center). We used SAC (Seismic Analysis Code) (Goldstein et al., 2007)
for seismic waveform data analyses.
References
- Goldstein, P., D. Dodge, M. Firpo, L. Minner, J. E. Tull, D. Harris, and W. C. Tapley,
SAC - Seismic Analysis Code, http://www.iris.edu/manuals/sac/manual.html, 2007.
- Hara, T., Measurement of duration of high-frequency energy radiation and its application to
determination of magnitudes of large shallow earthquakes, Earth Planets Space, 59, 227-231, 2007a.
- Hara, T., Magnitude determination using duration of high frequency energy radiation and
displacement amplitude: application to tsunami earthquakes, Earth Planets Space, 59, 561-565, 2007b.
This analysis was done by Tatsuhiko Hara.
Last Updated: 2014/4/3