In search of the mixed pressure and temperature derivative of the elastic moduli ∂2M/∂P∂T of the elastic moduli [M = K and G] for mantle minerals; joint analysis of ultrasonic data from gas-medium and multi-anvil apparatus" GWANMESIA, JACKSON AND LIEBERMANN COMPRES (USA)
Robust extrapolation of laboratory-derived elasticity data to the conditions of the deep mantle requires knowledge/assumptions about the mixed pressure and temperature derivative of the elastic moduli, ∂2M/∂P∂T – so far the subject of very few experimental studies. Accordingly we have begun to explore the circumstances under which constraints on these mixed derivatives might be extracted from joint analysis of data obtained by high-temperature ultrasonic interferometry on fine-grained polycrystals in gas-medium and multi-anvil, solid-medium and highpressure apparatus. In a first case study, elastic wave velocities have been newly measured on dense isotropic polycrystalline Mg3Al2Si3O12 to 1000 K and 300 MPa in an internally heated gas-medium high-pressure apparatus for comparison with the results of a previous study in multi-anvil apparatus (Gwanmesia et al., PEPI, submitted). For this study dense finegrained polycrystals were prepared by hot-pressing within a 2000-ton uniaxial split-sphere apparatus at 10 GPa and 1275 K for 1 hour, from a homogeneous glass starting material. The physical properties of the recovered specimens have been characterized with density measurements, x-ray diffraction and scanning electron microscopy (SEM). The measured elastic compressional and shear wave velocities determined are in excellent agreement with the temperature-dependent Hashin-Shrikman averages calculated from single-crystal elasticity data. Progress in the analysis of the combined gas- and solid-medium M(P,T) dataset for (∂M/∂P)T, (∂M/∂T)P and ∂2M/∂P∂T will be reported.
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