Seismic wave velocities of rare gas solids through elastic properties in Earth’s lower mantle

The expressions for second (SOE) and third order elastic (TOE) constants for rare gas solids are derived for comparative study of elastic behavior within the framework of many body potentials including the effect of pressure. The derived expressions are used to obtain the relations for pressure deri...

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Bibliographic Details
Published in:Science China. Earth sciences 2009-10, Vol.52 (10), p.1599-1611
Main Authors: Gupta, Seema, Goyal, Suresh C.
Format: Article
Language:English
Subjects:
Comparative studies
Earth and Environmental Science
Earth Sciences
elastic
Elastic properties
Gases
Geophysics
Lower mantle
properties
RGS
seismic
Seismic waves
Seismology
Solids
velocities
wave
Wave velocity
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Summary:The expressions for second (SOE) and third order elastic (TOE) constants for rare gas solids are derived for comparative study of elastic behavior within the framework of many body potentials including the effect of pressure. The derived expressions are used to obtain the relations for pressure derivatives of bulk and shear moduli of RGS solids. The values of SOE, TOE constants and pressure derivative of bulk and shear modulus for Ne up to 100 GPa, Ar up to 75 GPa, for Kr up to 136 GPa and Xe up to 53.4 GPa pressure are computed. The results are in agreement with available experimental results. The computed results are then used to analyze the pressure up to high compression and the elastic and seismic wave velocities (P & S) in Earth’s deep interior.
ISSN:1674-7313
1006-9313
1869-1897
1862-2801
DOI:10.1007/s11430-009-0092-1