Pressure Dependence of Elastic Wave Velocity for
-Mg2SiO4 and the Composition of the Earth's Mantle
Gabriel D. Gwanmesia 1,
Sally Rigden 2,
Ian Jackson 2, and
Robert C. Liebermann 1
1 Mineral Physics Institute and Department of Earth and Space Sciences, State University of New York at Stony Brook, Stony Brook, NY 11794
2 Research School of Earth Sciences, Australian National University, Canberra, A.C.T., 2601, Australia
The pressure dependence of the elastic wave velocities for hot-pressed, elastically isotropic polycrystals of the
(modified spinel) phase of magnesium orthosilicate (Mg2SiO4) has been determined at room temperature to 3 gigapascals (GPa) by ultrasonic pulse interferometry. Pressure derivatives of the bulk (dK/dP = 4.8) and shear (dG/dP = 1.7) moduli derived from the travel times of the compressional (P) and shear (S) waves clearly demonstrate that the velocity contrast between the olivine and
phases of Mg2SiO4 decreases with increasing pressure. When combined with plausible values for the (as yet unmeasured) temperature derivatives, these new data can be used to calculate the contrast in P and S wave velocities across an olivine-
phase transformation occuaring at pressure-temperature conditions corresponding to about 400 kilometers depth in the earth. The seismologically observed contrasts
V in both P and S wave velocities constrain the percentage of orthosilicate in a model mantle of uniform chemical composition for appropriate relative magnitudes of the temperature (T) derivatives of the bulk and shear moduli for the
phase. Allowed combinations of orthosilicate content (percent), dK/dT, and dG/dT (both in gigapascals per Kelvin) for a pair of recent seismological models with
Vp =
Vs 4.6% include (65, -0.018, -0.020), (55, -0.015, -0.018), and (45, -0.012, -0.016).