Using theP-wave travel times listed in Table 6.1 (values from the IASP91 tables for
a source at zero depth, Kennett, 1991), apply the geometrical spreading equation
(6.23) to predict the relative amplitude of P waves recorded at the surface from an
isotropic surface source at ranges of 30◦, 60◦ , and 90◦. Assume that the surface P
velocity is 5.8 km/s. If the amplitude at 30◦ is unity, what is the amplitude at 60◦
and 90◦? Hints: Be sure to convert the psph values in Table 6.1 to s/radian in order
to obtain correct units. Check the values you compute for the ray takeoff angle θ1
to be sure that they look reasonable.
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