The Elastic Properties of β-Mg 2 SiO 4 Containing 0.73 wt.% of H 2 O to 10 GPa and 600 K by Ultrasonic Interferometry with Synchrotron X-Radiation
Here, we measured the elastic velocities of a synthetic polycrystalline β-Mg 2 SiO 4 containing 0.73 wt.% H 2 O to 10 GPa and 600 K using ultrasonic interferometry combined with synchrotron X-radiation. Third-order Eulerian finite strain analysis of the high P and T data set yielded K so = 161.5(2) GPa, G o = 101.6(1) GPa, and (∂K s /∂P) T = 4.84(4), (∂G/∂P) T = 1.68(2) indistinguishable from K so = 161.1(3) GPa, G o = 101.4(1) GPa, and (∂K s /∂P) T = 4.93(4), (∂G/∂P) T = 1.73(2) from the linear fit. The hydration of the wadsleyite by 0.73 wt.% decreases K s and G moduli by 5.3% and 8.6%, respectively, but no measurable effect was noted for (∂K s /∂P) T and (∂G/∂P) T . The temperature derivatives of the K s and G moduli from the finite strain analysis (∂K S /∂T) P = –0.013(2) GPaK –1 , (∂G/∂T) P = –0.015(0.4) GPaK –1 , and the linear fit (∂K S /∂T) P = –0.015(1) GPaK –1 , (∂G/∂T) P = –0.016(1) GPaK –1 are in agreement, and both data sets indicating the |(∂G/∂T) P | to be greater than |(∂K S /∂T) P |. Calculations yield ΔV p(α-β) = 9.88% and ΔV S(α-β) = 8.70% for the hydrous β-Mg 2 SiO 4 and hydrous α-Mg 2 SiO 4 , implying 46–52% olivine volume content in the Earth’s mantle to satisfy the seismic velocity contrast ΔV s = ΔV P = 4.6% at the 410 km depth.