The elastic constants of San Carlos olivine to 17 GPa

Journal Article · Sun Jun 01 00:00:00 EDT 1997 · Journal of Geophysical Research

DOI:https://doi.org/10.1029/97JB00682· OSTI ID:588524

Abramson, E H ^[1]; Brown, J M ^[2]; Slutsky, L J ^[1]; Zaug, J ^[3]

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1. Department of Chemistry, University of Washington, Seattle (United States)
2. Geophysics Program, University of Washington, Seattle (United States)
3. CST-6, Los Alamos National Laboratory, Los Alamos, New Mexico (United States)

All elastic constants, the average bulk and shear moduli, and the lattice parameters of San Carlos olivine (Fo{sub 90}) (initial density 3.355gm/cm{sup 3}) have been determined to a pressure of 12 GPa at room temperature. Measurements of c{sub 11}, c{sub 33}, c{sub 13}, and c{sub 55} have been extended to 17 GPa. The pressure dependence of the adiabatic, isotropic (Hashin-Shtrikman bounds) bulk modulus, and shear modulus may be expressed as K{sub HS}=129.4+4.29P and by G{sub HS}=78+1.71P{minus}0.027P{sup 2}, where both the pressure and the moduli are in gigapascals. The isothermal compression of olivine is described by a bulk modulus given as K{sub T}=126.3+4.28P. Elastic constants other than c{sub 55} can be adequately represented by a linear relationship in pressure. In the order (c{sub 11},c{sub 12},c{sub 13},c{sub 22},c{sub 23},c{sub 33},c{sub 44},c{sub 55},c{sub 66}) the 1 bar intercepts (gigapascal units) are (320.5, 68.1, 71.6, 196.5, 76.8, 233.5, 64.0, 77.0, 78.7). The first derivatives are (6.54, 3.86, 3.57, 5.38, 3.37, 5.51, 1.67, 1.81, 1.93). The second derivative for c{sub 55} is {minus}0.070GPa{sup {minus}1}. Incompressibilities for the three axes may also be expressed as linear relationships with pressure. In the order of {bold a, b}, and {bold c} axes the intercepts in gigapascals are (547.8, 285.8, 381.8) and the first derivatives are (20.1, 12.3, 14.0).{copyright} 1997 American Geophysical Union

• OSTI ID: 588524
• Journal Information: Journal of Geophysical Research, Vol. 102, Issue B6; Other Information: PBD: Jun 1997
• Country of Publication: United States
• Language: English

Related Subjects

58 GEOSCIENCES
OLIVINE
ELASTICITY
LATTICE PARAMETERS
AMBIENT TEMPERATURE
PRESSURE DEPENDENCE
VERY HIGH PRESSURE