Olivine, the dominant mineral of the upper mantle, has bulk modulus , shear modulus…

PHYSICS · Multi-part · Fermi University Physics · Fluids & Continuum Physics · Earth, Climate & Energy Physics · Seismology, tectonics and geodynamics

The Solid Earth, Ch Stress, strain and elastic waves in the Earth

Problem

Olivine, the dominant mineral of the upper mantle, has bulk modulus K=129 GPaK = 129\,\mathrm{GPa}, shear modulus μ=81 GPa\mu = 81\,\mathrm{GPa} and density ρ=3300 kg m−3\rho = 3300\,\mathrm{kg\,m^{-3}}. ((a)) Find the P-wave speed vP=(K+43μ)/ρv_P = \sqrt{(K+\tfrac43\mu)/\rho}. ((b)) Find the S-wave speed vS=μ/ρv_S = \sqrt{\mu/\rho}.

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