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Matoza et al St. Helens Infrasound JGR 09

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B04305 MATOZA ET AL.: INFRASOUND FROM LPS AT MOUNT ST. HELENS B04305<br />

Figure 4. A comparison of infrasonic and seismic amplitudes for 2963 LP events observed during 1–16<br />

November 2004, 16 December 2004, 1–10 and 24–28 February 2005, and 1–19 March 2005. (a)<br />

Scatterplot of infrasonic amplitude (Pa) versus vertic<strong>al</strong> seismic amplitude (m/s). Dashed lines correspond<br />

to constant v<strong>al</strong>ues of P/Vz, clockwise from top, 10 6 ,10 5 ,10 4 ,10 3 Pa s/m. The vast majority of events<br />

have P/Vz b<strong>et</strong>ween 5 10 3 and 5 10 4 Pa s/m (solid lines). (b) Histogram of P/Vz v<strong>al</strong>ues for data shown<br />

in Figure 4a. Long tail of events with P/Vz >5 10 4 Pa s/m not shown. Note the unimod<strong>al</strong> distribution<br />

with a peak at 1.3 10 4 Pa s/m. (c) (Gaussian) kernel density estimate of the probability density function<br />

of P/Vz for the different time periods. (d) Kernel estimate and empiric<strong>al</strong> cumulative distribution functions<br />

for <strong>al</strong>l data. The median is: 1.7 10 4 Pa s/m, and the interquartile range is 9.4 10 3 Pa s/m.<br />

large number of events sampling a wide range of atmospheric<br />

conditions. Figure 4a shows a scatterplot of peak<br />

infrasonic pressure amplitude (P) versus peak vertic<strong>al</strong><br />

seismic velocity amplitudes (Vz) for 2963 LP events from<br />

1 to 16 November 2004, 16 December 2004, 1–10 and 24–<br />

28 February 2005, and 1–19 March 2005. The unit-gain<br />

beam-formed data were filtered at 2–4 Hz (found to be an<br />

optim<strong>al</strong> band for picking), and events were picked using the<br />

STA/LTA d<strong>et</strong>ector described in section 2.1.2. Subsequently,<br />

the beamed data were refiltered at 1–5 Hz, and the<br />

maximum absolute amplitude in a 20 s window following<br />

the pick was assigned to each event. Since the maximum<br />

seismic amplitude does not coincide with the time delayed<br />

maximum infrasonic amplitude but appears later in the<br />

waveform during the resonance coda (Figure 2), the P/Vz<br />

we measure should be considered a lower bound. In order to<br />

7of38<br />

exclude spurious picks not associated with LP events at<br />

MSH, only events consisting of a seismic pick followed by<br />

an infrasonic pick 38 ± 4 s later were included. However,<br />

for the large quantity of data considered, picks related to<br />

transient noise occasion<strong>al</strong>ly match the selection criteria.<br />

This is responsible for the sm<strong>al</strong>l number of d<strong>et</strong>ections with<br />

P/Vz >10 5 Pa s/m. However, compared to the number of<br />

d<strong>et</strong>ections associated with LP events, these occurrences are<br />

insignificant.<br />

[18] Figure 4a demonstrates that the vast majority of<br />

events have P/Vz b<strong>et</strong>ween 5 10 3 and 5 10 4 Pa s/m.<br />

Figure 4b shows a histogram of P/Vz ratios for the events<br />

shown in Figure 4a, b<strong>et</strong>ter illustrating the distribution of<br />

v<strong>al</strong>ues. A smoother estimate of the underlying probability<br />

density function (PDF) was obtained using a kernel density<br />

estimator with a Gaussian kernel (Figure 4c). The PDF has a

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