Potential uses of these data
I believe it is worthwhile for the P.I. of any experimental project like
this to describe potential uses of these data beyond those published or
planned for publication by the P.I. and related individuals. That
is the purpose of this section. The list below is surely not inclusive,
but covers topics I considered interesting in the data for future study.
The order is significant as it indicates my bias as the relative scientific
merit, but since this is just an opinion it shouldn't be taken too seriously.
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In a paper we plan to submit for publication roughly simultaneously with
this report, Poppeliers and Pavlis [2001] used data primarily from array
3 to study topographic site effects. We found that topographic site
effects seem to be one of those favored topics for people working on computer
simulation of wave propagation, but there is almost no useful data on the
subject. Every study we could find on topographic site effects used
station spacing far too wide to do any type of wavefield processing and
results were limited to relatively crude amplitude measurements.
Array 3 provides some stunning results on topographic wave propagation
effects. Until the paper is published look for a preprint under our
anonymous
ftp site .
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These data have some very interesting applications to explosion source
physics, particularly underwater explosives and seismic coupling questions.
Anyone interested in this subject is encouraged to print out and read the
unpublished report I wrote for the Navy (Pavlis, 1999) that is stored with
these data. The report describes the spectral technique I used to
isolate the source and propagation terms and average the results.
The basic idea is that because we have a source whose location is essentially
fixed relative to the profile stations spectral ratios between shots provided
information on relative source spectral characteristics from shot to shot.
The most remarkable result, I think, is found in Figure
3. That result shows that the high frequency output of
these explosions is essentially independent of shot size. The primary
variation in spectral amplitude is at frequencies below about 20 Hz.
The literature on underwater explosions is enormous and perhaps this is
a well known phenomenon, but I find it surprising. A working hypothesis
is that it represents the fact that no material can maintain a shock front
below a minimum scale length without being totally disrupted. In
nuclear explosion physics this is the concept of a transient cavity within
which all the material inside the cavity is first vaporized then permanently
deformed. The effective source is a volume is related to when the
expanding stress field around this cavity drops to near the elastic limit.
At that critical size the source begins to radiate elastic waves at a characteristic
period. In the case of water, this probably means that the
initial transient bubble formed by the explosive gases initially has enough
energy to vaporize water causing a critical shock front limit. This
is different from the nuclear case because the explosive detonation time
constant is much longer and there may be radiation effects that spread
the pulse as the water bubble expands. That is, the pulse rise time
is what presumably controls the high frequencies in the data, and the observations
in figure 3 indicate some physical process that puts an upper limit on
the pulse rise time. The point is that these data provide some
potentially useful data to test theoretical models of seismic sources,
particularly underwater explosions.
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I mentioned earlier that these data have some very interesting potential
for measuring wave propagation effects and particularly the scattering
characteristics of surface waves. The mining spoil/bedrock interface
is about as dramatic a real interface as could be conceived. It is
unique it than it is an absolutely flat surface (Mining stopped at the
base of the lowest coal unit the mining company was after -- they do not
move extra rock for any reason as it costs them a lot of money to do so.)
covered by a totally homogenous material (Fractured sandstone and shale
fragment with scale lengths from about 1 m downward in size mixed up as
if they had been run through a blender.). The Pennsylvanian rocks
below the mined area are rather complex fluvial deposits at the outcrop
scale, but at seismic wavelengths they are relatively homogeneous.
In short, this is a pretty unique experimental measurement for wave propagation
studies as it is not complicated greatly by potential anisotropic effects.
It is complicated strongly by strong variations in the thickness of the
near-surface waveguide formed by the mining spoil. There are several
10s of meters of topography across the site. I apologize that I am
unable to supply a topographic map of the area as I do not have one.
A more dramatic features is that the waveguide abruptly terminates at the
lake shore and at the boundaries of the mined area. As a result,
there is strong observational evidence in these data that surface waves
are strongly reflected from these essentially vertical discontinuities
in the near-surface waveguide. The combination of the linear profiles
with arrays 1 and 2 (I actually designed these arrays with this problem
in mind.) make this a powerful tool to understand how surface wave interact
with vertical boundaries. I'd love to work on this problem some day,
but I don't see a window of time to do so for several years so have at
it. I wish you luck.
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In addition to source physics, a more complete study could be conducted
on how different parts of the wavefield depend upon source depth.
My report to the Navy used only simple spectral techniques because I used
these as a way to better quantify an empirical size/depth relation for
them. A more comprehensive study could be conducted to measure quantities
like the relative excitation of surface waves, P, and what I called Pd
in the data section.
This could provide useful high-precision data to better understand empirical
discriminates like Rg to P ratios being experimented with at this time
in the nuclear monitoring world.
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The air wave data interaction with buildings seen in the accelerometer
data is amazing and indicates how strong the airwave generated by some
of these shots was. (I note the personal experience of actually being
able to feel a pulse of air with some of the large shallow shots, although
clearly most of the energy was at frequencies below the limit of my hearing.)
A good student project is to try to model the interaction of the airwave
with a building to see if there is any consistency with independent measurements
of air pressure made by Navy personnel. Unfortunately, I do not have
the air pressure data available to me, but if I am still around when you
read this and you want to pursue this I'll try to connect you with the
right people.