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Diffraction theory teaches us that there
is not a single P-wave traveling in a porous medium. The arrival
time picked in the lab measurements is generally the most
``beautiful'' amplitude: the highest and earliest. However, near
the limit between suspension and load-bearing rock, picking the
highest and earliest arrival is a very hard task, and, instead of
picking a single peak, it is probably more interesting to
pick a range of arrival times with equivalently high amplitudes
that would yield a range of possible velocities.
I have derived a very simple expression relating the diameter
of the grains to the frequency of the measurement. The
validity of this expression is limited to very small grain
sizes since we assume a perfect scattering behavior. However,
the expression has not yet been experimentally tested.
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Up: Blondel: Interpretation of the
Previous: Biot's sigmoid velocity versus
Stanford Exploration Project
11/17/1997