The elastic constants of San Carlos olivine to 17 GPa

Abramson, E.; Brown, J. M.; Slutsky, L. J.; Zaug, Joseph M.

doi:10.1029/97jb00682

Cited by 333 publications

(258 citation statements)

References 24 publications

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“…The first order derivatives are in good agreement between these two studies. The anisotropy of the olivine single crystal increases slightly with temperature (+2%) using the data of Issak (1992) and reduces slightly with increasing pressure using the data of Abramson et al (1997). One would expect the single crystal anisotropy to be nearly constant along a geotherm.…”

Section: Upper Mantlementioning

confidence: 99%

“…The first and second order pressure derivatives for olivine were first determined to 3 GPa by Webb (1989). However, a more recent determination to 17 GPa by Abramson et al (1997) has shown that the second order derivative is only necessary for elastic stiffness modulus C 55 . The first order derivatives are in good agreement between these two studies.…”

Section: Upper Mantlementioning

confidence: 99%

See 1 more Smart Citation

The Seismic anisotropy of the Earth's mantle: From single crystal to polycrystal

Mainprice¹,

Barruol²,

Ismaı̈l³

2000

Earth's Deep Interior: Mineral Physics and Tomography From the Atomic to the Global Scale

222

172

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The anisotropic single crystal seismic properties are reviewed in the light of recent experimental and theoretical determinations. Although considerable progress has been made on the determination of single crystal properties, data are still lacking, particularly for the temperature derivatives of transition zone and lower mantle phases. The common types of LPO of olivine, opx and cpx are presented together with their associated seismic properties. It is emphasized that simple seismic symmetry pattern of upper mantle rocks are a direct result of the interaction of olivine, opx and cpx. Using the standard structural frame (X lineation, Z pole to foliation) for typical LPOs of olivine, opx and cpx have the maximum Vp parallel to X, in the XZ plane and parallel to Y respectively. Destructive interference occurs between these minerals and hence P-wave anisotropy should be sensitive to the aggregate composition. For shear wave splitting (dVs) typical olivine and opx LPOs result in similar patterns with the maximum dVs in the YZ plane and the fast split shear wave (Vs1) polarized parallel to the foliation. A typical cpx LPO on the other hand produces destructive interference as the max dVs is close to X. By comparison with experiments and numerical simulations, it is estimated that upper mantle samples have an olivine LPO strength which recorded shear strain gamma of between 0.25 and 2.0. Pyrolite and piclogite models are compared with global transverse isotropic models. The slowly reducing P-wave anisotropy in the first 200 km can be explained by a model with constant composition and LPO strength. The sharp decrease in the observed anisotropy in the global models cannot be explained by the transformation of opx to cpx at 300 km, it is proposed that this decrease is due to a reduction in LPO strength from 200 to 350 km at the base of the lithosphere.

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Section: Upper Mantlementioning

confidence: 99%

Section: Upper Mantlementioning

confidence: 99%

The Seismic anisotropy of the Earth's mantle: From single crystal to polycrystal

Mainprice¹,

Barruol²,

Ismaı̈l³

2000

Earth's Deep Interior: Mineral Physics and Tomography From the Atomic to the Global Scale

222

172

View full text Add to dashboard Cite

show abstract

“…ρ 0 =density at room pressure (P 0 ) and temperature (T 0 ). K = bulk modulus in [GPa]: ol = 126.3 (Abramson et al, 1997); opx = 115.5 (Chai et al, 1997); cpx = 113.0 (Levien et al, 1979). K′ = bulk modulus pressure derivatives: ol = 4.28; opx = 7.82; cpx = 4.80; same authors.…”

Section: Lpo Measurement and Representationmentioning

confidence: 99%

“…C ij (P 0 ,T 0 ) = elastic constants in [GPa] at room pressure and temperature for ol (Abramson et al, 1997), opx (Chai et al, 1997) and cpx (Collins and Brown, 1998). dC ij /dP = first order pressure derivatives (nondimensional) for ol (Abramson et al, 1997), opx (Frisillo and Barsch, 1972 ⁎⁎ ) and cpx (Matsui and Busing, 1984 ⁎⁎⁎ (Isaak, 1992), opx (Chai et al, 1997) and cpx (Frisillo and Barsch, 1972 ⁎⁎⁎⁎ ).…”

Section: Lpo Measurement and Representationmentioning

confidence: 99%

Seismic properties of the upper mantle beneath Lanzarote (Canary Islands): Model predictions based on texture measurements by EBSD

et al. 2006

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We present a petrophysical analysis of upper mantle xenoliths, collected in the Quaternary alkali basalt fields (Series III and IV) from the island of Lanzarote. The samples consist of eight harzburgite and four dunite nodules, 5 to 15 cm in size, and exhibit a typical protogranular to porphyroclastic texture. An anomalous foliation resulting from strong recovery processes is observed in half of the specimens. The lattice preferred orientations (LPO) of olivine, orthopyroxene and clinopyroxene were measured using electron backscatter diffraction (EBSD). In most samples, olivine exhibits LPOs intermediate between the typical single crystal texture and the [100] fiber texture. Occasionally, the [010] fiber texture was also observed. Simultaneous occurrence of both types of fiber textures suggests the existence of more than one deformation regime, probably dominated by a simple shear component under low strain rate and moderate to high temperature. Orthopyroxene and clinopyroxene display a weaker but significant texture. The LPO data were used to calculate the seismic properties of the xenoliths at PT conditions obtained from geothermobarometry, and were compared to field geophysical data reported from the literature. The velocity of P-waves (7.9 km/s) obtained for a direction corresponding to the existing seismic transect is in good agreement with the most recent geophysical interpretation. Our results are consistent with a roughly W-E oriented fastest P-wave propagation direction in the uppermost mantle beneath the Canary Islands, and with the lithosphere structure proposed by previous authors involving a crust-mantle boundary at around 18 km in depth, overlaid by intermediate material between 11 and 18 km.

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“…The elastic constants used in our calculations are those of Abramson et al [1997] for olivine, Chai et al [1997] for enstatite, and Collins and Brown [1998] for diopside; we also used the Voigt Reuss Hill averaging scheme [Mainprice et al, 2000].…”

Section: Rock Seismic Propertiesmentioning

confidence: 99%

Seismic anisotropy in the uppermost mantle, back‐arc region of the northeast Japan arc: Petrophysical analyses of Ichinomegata peridotite xenoliths

Michibayashi

Abe

Okamoto

et al. 2006

Geophysical Research Letters

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A dense network of seismic stations has been deployed across the northeast Japan arc to investigate mantle wedge structures. To attain independent petrophysical constraints, we determined the seismic properties of Ichinomegata mantle xenoliths from the back‐arc region that were brought to the surface from the mantle lithosphere by volcanic eruptions. We calculated the seismic properties of the xenoliths from olivine and pyroxene crystal‐preferred orientations and single crystal elastic constants. The small magnitude of measured S‐wave splitting (delay time of 0.22 s in the area where the xenoliths were entrained) can be explained by the average seismic properties of mantle xenoliths for an approximately 20‐km thick horizontal anisotropic layer, indicating that the mantle lithosphere could be one of the dominant sources of seismic anisotropy; this layer is possibly related to deformation in the uppermost mantle lithosphere due to back‐arc spreading along the northeast Japan arc.

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The elastic constants of San Carlos olivine to 17 GPa

Abstract: In the order (c 11, c12, c13, c22, c23, c33, c44, c55, c66 ) 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

Cited by 333 publications

References 24 publications

The Seismic anisotropy of the Earth's mantle: From single crystal to polycrystal

The Seismic anisotropy of the Earth's mantle: From single crystal to polycrystal

Seismic properties of the upper mantle beneath Lanzarote (Canary Islands): Model predictions based on texture measurements by EBSD

Seismic anisotropy in the uppermost mantle, back‐arc region of the northeast Japan arc: Petrophysical analyses of Ichinomegata peridotite xenoliths

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