Assume that Qµ = 100 for the inner core and is constant with frequency, that all
of the attenuation is in shear (Qκ = ∞), that α = 11 km/s and β = 3.5 km/s (at 1 s
period) throughout the inner core, and that the inner-core radius is 1221.5 km.
(a) What are Qα and Qβ for the the inner core?
(b) For a P wave that travels straight through the Earth (i.e., travels a distance
twice the radius), how much will amplitudes be attenuated in the inner core
for waves of 100 s, 10 s, and 1 s period? By how many seconds will the total
travel time through the inner core vary as a function of these periods?
(c) Repeat (b) for the case of S waves.