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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<br />

recorded at STD during the vent-clearing phase prior to 5<br />

October 2004 [Moran <strong>et</strong> <strong>al</strong>., 20<strong>09</strong>b], and impulsive sign<strong>al</strong>s<br />

resembling the infrasonic LP events observed at CDWR<br />

were recorded at BLIS in November 2004. However, BLIS<br />

was deployed on a ‘‘spider’’ platform [McChesney <strong>et</strong> <strong>al</strong>.,<br />

20<strong>09</strong>] prone to coseismic shaking, and the sign<strong>al</strong>s were not<br />

recorded at the other microphone stations due to noise<br />

conditions, so care must be taken to identify these as true<br />

infrasonic sign<strong>al</strong>s (S. C. Moran, CVO, person<strong>al</strong> communication,<br />

2006). The STD microphone telem<strong>et</strong>ry was disconnected<br />

on 12 October 2004 [McChesney <strong>et</strong> <strong>al</strong>., 20<strong>09</strong>].<br />

2.1. Observations at CDWR<br />

[12] Infrasonic sign<strong>al</strong>s associated with LP events were<br />

observed intermittently at CDWR throughout the time<br />

period 1 November 2004 to 27 March 2005 (first CDWR<br />

deployment), and much less frequently from 13 August<br />

2005 to 8 July 2008 (second CDWR deployment). The time<br />

periods with the clearest, largest sign<strong>al</strong>-to-noise ratio events<br />

were November 2004 and late February to March 2005.<br />

These time periods correspond to the largest seismic amplitudes<br />

during the CDWR data coverage [Moran <strong>et</strong> <strong>al</strong>.,<br />

20<strong>09</strong>a], indicating that clear observation of the infrasonic<br />

sign<strong>al</strong>s depends to a first order on a seismic amplitude<br />

‘‘threshold’’ (see section 3). CDWR was deployed at a<br />

range optimized for large amplitude eruption sign<strong>al</strong>s. Since<br />

infrasonic LP events are relatively weak sign<strong>al</strong>s, it is not<br />

surprising that only the largest amplitude examples are<br />

clearly d<strong>et</strong>ected above noise.<br />

2.1.1. Waveforms<br />

[13] When the infrasonic sign<strong>al</strong>s were clearly observed,<br />

their waveform and spectr<strong>al</strong> features were distinct from<br />

those of the seismic sign<strong>al</strong>s. Figure 2 shows the waveforms<br />

for a typic<strong>al</strong> LP event recorded by CDWR at 0818:35 UTC,<br />

4 March 2005. An acoustic sign<strong>al</strong> is seen to arrive 38 s<br />

after the ons<strong>et</strong> of the seismic sign<strong>al</strong>, consistent with the<br />

13.4 km source-receiver range. No coincident seismoacoustic<br />

arriv<strong>al</strong> is observed in the infrasonic pressure data<br />

(<strong>al</strong>so true when beam forming at seismic velocity), indicating<br />

that loc<strong>al</strong> seismic-acoustic conversion [Press and<br />

Ewing, 1951] or mechanic<strong>al</strong> sensitivity of the MB2000<br />

sensor is not significant in this study. When filtered in the<br />

band 1–15 Hz, the infrasonic waveforms have duration<br />

10 s, with the dominant portion of energy lasting 5s.<br />

This duration corresponds to the duration of the broadband<br />

pressure excitation mechanism or LP ‘‘trigger’’ observed in<br />

the seismic records. After 5 s, the infrasonic amplitudes<br />

decay rapidly, while in the seismic records the resonant<br />

oscillations of the crack become increasingly dominant.<br />

This is further exemplified by considering data filtered at<br />

5–15 Hz, which effectively filters out the crack resonance<br />

signature from the seismic data and leaves only the higher<br />

frequency components of the broadband trigger. In this<br />

band, the seismic and acoustic waveforms have the same<br />

duration. We <strong>al</strong>so note that (1) the seismic first motion is<br />

dilatation<strong>al</strong>, consistent with the work by Waite <strong>et</strong> <strong>al</strong>.<br />

[2008], and (2) the infrasound sign<strong>al</strong> is apparently seen<br />

in the 5–15 Hz filtered seismic record, which may represent<br />

shaking of the seismic sensor by the passing infrasonic<br />

wave or loc<strong>al</strong> air-ground coupling. While dispersion may<br />

add to the length of the seismic waveform at this range (see<br />

section 4.2.1), a long-duration source time function (>20 s<br />

4of38<br />

B04305<br />

[Waite <strong>et</strong> <strong>al</strong>., 2008]) is required to produce such a longduration<br />

seismic sign<strong>al</strong>. The observed waveform differences<br />

require a mechanism to separate the trigger and resonance<br />

components at the source (sections 5 and 7.1).<br />

[14] The waveforms in Figure 2 are shown with norm<strong>al</strong>ized<br />

amplitudes. 1 In Figure S1, the same waveforms are<br />

shown with their correct amplitudes. Figure S1 illustrates<br />

that the 5–15 Hz infrasonic waveforms have amplitudes<br />

lower by a factor of 3 than the 1–15 Hz filtered infrasonic<br />

waveforms, demonstrating that the majority of energy in the<br />

impulsive infrasonic sign<strong>al</strong>s is in the 1–5 Hz band. This is<br />

the same band in which the seismic sign<strong>al</strong>s have the<br />

majority of their energy, and indicates that the observed<br />

differences in waveform cannot be attributed simply to a<br />

difference in frequency content and attenuation effects (see<br />

sections 5 and 7.1).<br />

2.1.2. Power Spectra<br />

[15] Figure 3 shows power spectr<strong>al</strong> density (PSD) estimates<br />

for infrasonic and seismic LPs. Only seismic LPs<br />

with a clear infrasonic arriv<strong>al</strong> were included. <strong>Infrasound</strong><br />

array data were beam formed at an azimuth of 153° and<br />

speed of 330 m/s using a convention<strong>al</strong> time delay (time<br />

domain) beam former, with the array gain due to beamforming<br />

s<strong>et</strong> to 1.0 [DeFatta <strong>et</strong> <strong>al</strong>., 1988]. The PSD estimates<br />

were formed by picking 1116 events on 11 November 2004<br />

and 432 events on 4 March 2005 with a short-term average/<br />

long-term average (STA/LTA) d<strong>et</strong>ector (STA length, 3 s;<br />

LTA length, 10 s; STA/LTA ratio for d<strong>et</strong>ection, 2.0),<br />

isolating a 12 s window of unfiltered data around the pick<br />

(1 s pr<strong>et</strong>rigger, 11 s posttrigger), and estimating the power<br />

spectrum of each using a multitaper m<strong>et</strong>hod [Riedel and<br />

Sidorenko, 1995] (implemented in program PSD provided<br />

by R. L. Parker, IGPP, SIO). This m<strong>et</strong>hod applies frequency-dependent<br />

minimization of the sum of variance and bias,<br />

making it particularly suitable for spectra with sharp peaks,<br />

such as LP resonance spectra. The same spectr<strong>al</strong> param<strong>et</strong>ers<br />

were used for infrasonic and seismic data, chosen to smooth<br />

the spectra and show only the grossest d<strong>et</strong>ails. The individu<strong>al</strong><br />

event spectra were progressively stacked, emphasizing<br />

the repeatable spectr<strong>al</strong> features, and reducing the influence<br />

of random noise. A transfer function was then obtained by<br />

dividing the fin<strong>al</strong> seismic stack by the infrasonic stack,<br />

which serves to illustrate the differences b<strong>et</strong>ween the two<br />

spectra.<br />

[16] The infrasonic sign<strong>al</strong>s have a relatively flat spectrum<br />

in the 1–5 Hz band, with noise from the ocean dominating<br />

below 1Hz[<strong>Matoza</strong> <strong>et</strong> <strong>al</strong>., 2007]. The seismic sign<strong>al</strong>s<br />

have significant spectr<strong>al</strong> peaks in the 1–5 Hz band, broadly<br />

consistent with the work by Waite <strong>et</strong> <strong>al</strong>. [2008]. The 11<br />

November 2004 data have a dominant peak at 1.4 Hz, while<br />

the 4 March 2005 data have a dominant peak at 1.7 Hz<br />

(compare with Waite <strong>et</strong> <strong>al</strong>. [2008], who <strong>al</strong>so observed a<br />

dominant peak at 1.7 Hz on multiple stations for events on<br />

22 July 2005). Such a change over a timesc<strong>al</strong>e of months is<br />

expected for spectr<strong>al</strong> features of the source process, but not<br />

for those due to propagation effects. The transfer functions<br />

for both November 2004 and March 2005 further indicate<br />

that the seismic data are enriched in the resonant oscillation<br />

signature of the crack, while the infrasonic data are not. The<br />

1<br />

Auxiliary materi<strong>al</strong>s are available in the HTML. doi:10.1029/<br />

2008JB006128.

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