Fundamentals of elasticity of (Mg1-x, Fex)2SiO4 olivine

Statistics – Computation

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Mineral Physics: High-Pressure Behavior, Mineral Physics: Elasticity And Anelasticity, Mineral Physics: Equations Of State, Exploration Geophysics: Computational Methods: Seismic

Scientific paper

We study the influence of iron on the elasticity of (Mg1-x, Fex)2SiO4 olivine (0 ≤ x ≤ 0.125), a major constituent of the Earth's upper mantle. We calculate static elastic properties by first principles for this solid solution and investigate the effect of atomic arrangement, an artifact of supercell calculations, on all single crystal and poly-crystalline elastic moduli. From calculated wave propagation velocities we find the heterogeneity ratios of shear to compressional wave velocity, and bulk sound to shear wave velocity. Their values are, though limited to composition considerations, marginally consistent with seismic tomography.

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