A crustal rock behaves as a Poisson solid ( ) with shear-wave speed

PHYSICS · Subjective · Fermi University Physics · Earth, Climate & Energy Physics · Seismology, tectonics and geodynamics · Seismology, tectonics and geodynamics

The Solid Earth, Ch Surface waves, free oscillations and seismic tomography

Problem

A crustal rock behaves as a Poisson solid (λ=μ\lambda = \mu) with shear-wave speed vS=3.0 km s−1v_S = 3.0\,\mathrm{km\,s^{-1}}. Using the Rayleigh-wave speed cR=0.9194 vSc_R = 0.9194\,v_S found for a Poisson solid, find the Rayleigh-wave speed cRc_R, and the wavelength (and hence the approximate depth over which the surface motion dies away) for a wave of period T=15 sT = 15\,\mathrm{s}.

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