Anisotropy of elastic properties of rocks

Aleksandrov, K. S.; Ryzhova, T.V.; Belikov, B. P.; Shabanova, L. A.

doi:10.1080/00206816909475088

Cited by 21 publications

(18 citation statements)

References 7 publications

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“…Half of the samples are essentially isotropic, showing < 4 % anisotropy and minimal shear wave splitting (type 1). Comparison with Table 1 shows that these rocks are dominated by feldspar, quartz, clinopyroxene, or garnet, minerals that are either weakly anisotropic or unlikely to cause anisotropy because of their symmetry (Verma 1960;Alexandrov and Ryzhova 1962;Alexandrov et al 1964;Ryzhova 1964;McSkimin et al 1965). The remaining samples display significant anisotropy ( > 5 %) and are transversely isotropic, with Vs slow normal to foliation.…”

Section: Anisotropymentioning

confidence: 89%

The seismic velocity and Poisson's ratio structure of the Kapuskasing uplift from laboratory measurements

Salisbury¹,

Fountain²

1994

Can. J. Earth Sci.

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The compressional (Vp) and shear (Vs) wave velocity structure of the Kapuskasing uplift have been determined as a function of depth, propagation direction, and polarization from laboratory velocity measurements to confining pressures of 600 MPa on oriented samples from known structural levels of the complex. Based on the relative field abundances of the lithologies measured, the three principal terranes exposed in the uplift are characterized at depth by the following average valves of V , V, , and apparent Poisson's ratio. ua: (i) Michipicoten greenstone belt (greenschist, depth 0-6 km, V = 6.6 h i s . #, = 3.9 h i s . o, = 0.285): (ii) Wawa gneiss temne (amphibolite, depth 6-17 h, Vp = 6.5 M r , ( = 3.8 kmls, o, = 0.24): and (iii) Kapushsing structural zone (granulite, depth 17-23 km, V p = 6.9 k d s , V, = 3.9 kmls, a, = 0.27). Although anisotropic lithologies such as paragneiss or mafi c gneiss are present at dl levels and tend to increase in abundance with depth, only in the deepest level (the Kapuskasing zone) are they sufficiently abundant and oriented to produce significant regional seismic anisowopy (transversely isotropic with Vp and Vs fast in the horizontal plane) and detectable shear wave splitting (AV5 = 0.1 kmts).A comparison between the laboratory data and velocity models determined for the same crustal section from Lithoprobe refraction studies shows excellent agreement, confirming that the lithologies exposed in the Kapuskasing uplift can be projected downdip to the upper-lower crust transition, or Conrad discontinuity, at about 25 km. Below this depth, high P-wave velocities 0.0-7.6 knits) suggest that the lower crust is more mafic or garnet rich. Similarities between the velocity structure of the Kapuskasing uplift and other sites in the Canadian Shield suggest that the observed crustal section is fairly typical of Archean continental crust. La structure de vitesse des ondes de compression (Vp) et de cisaillement (Vs) du soulkvement de Kapuskasing a Ctk dtterminCe en fonction de la profondeur, de la direction de propagation et de polarisation i partir de mesures de vitesse effectukes en laboratoire, i des pressions confinCes de 600 MPa, sur des Cchantillons orient& provenant de niveaux structuraux connus. Trois terranes principaux sont reconnus sur la base des abondances relatives des lithologies mesurkes sur le terrain. Ces terranes sont caracterisCs en profondeur par les valeurs moyennes de V , V, et les rapports apparents de Poisson a, qui suivent: ( i ) zone de roches vertes de Michipicoten [schistes verts, profoncfeur 0 -6 km. V = 6,6 h l s , V, = 3,9 kmls, ma = 0.235); (ii) temne gneissique de Wawa (amphibolite, profondeur 6-17 km, V, = 6,fkm/s, V. = 3.8 kmis, o, = 0.24);(iii) zone stntcturale de Kapuskasing (granulite, profondeur 17-23 km, Vp = 6,9 krnls, V, = 3,9 km/s, a , = 0.27). MCme si les lithologies anisotropiques, incluant Ies paragneiss ou les gneiss mafiques, sont pr6sentes B tous les niveaux et tendent augmenter avec la profondeur, c'est seulement au niveau le plus profond (l...

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Section: Anisotropymentioning

confidence: 89%

The seismic velocity and Poisson's ratio structure of the Kapuskasing uplift from laboratory measurements

Salisbury¹,

Fountain²

1994

Can. J. Earth Sci.

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“…Jobin Yvon) and 514.5 nm 0.5 W Ar + polarized laser for excitation. Elastic constants С λµ have been measured with the pulsed bulk acoustic wave method [9,10] at 29.5 MHz.…”

Section: Methodsmentioning

confidence: 99%

Raman spectra and elastic properties of KPb ₂ Cl ₅ crystals

Vtyurin

Исаенко

Krylova

et al. 2004

phys. stat. sol. (c)

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Raman scattering spectra and elastic constants of KPb 2 Cl 5 crystals have been studied. The results obtained are interpreted in terms of the ab initio lattice dynamics model taking into account multipole moments of ionic electron envelopes. The experimental results have been found to be in good agreement with numerical simulation; the narrow phonon spectra are shown to be due to a considerable contribution of heavy cations into the eigenvectors of the higher frequency lattice modes.

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“…where Γ 1 , Γ 2 , and Γ 3 are, respectively, the first, second, and third invariants of the Christoffel tensor [23]. The iterative procedure for calculating unknown tensor …”

Section: Calculation Of Elastic Moduli Based On Velocity Datamentioning

confidence: 99%

Application of a modified method of ultrasonic measurements for determination of elastic moduli of rocks

et al. 2015

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The velocities of elastic waves with quasi-longitudinal and quasi-transverse polarizations in a spherical rock sample have been measured. The experimental values of velocities are used to calculate 21 elastic moduli of the sample. For comparison, the effective elastic properties of the sample are simulated based on the data on the crystallographic textures of rock-forming minerals obtained by neutron diffraction. It is shown that the largest discrepancy between the model predictions and experimental velocity values is observed for transversely polarized waves.

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Anisotropy of elastic properties of rocks

Cited by 21 publications

References 7 publications

The seismic velocity and Poisson's ratio structure of the Kapuskasing uplift from laboratory measurements

The seismic velocity and Poisson's ratio structure of the Kapuskasing uplift from laboratory measurements

Raman spectra and elastic properties of KPb ₂ Cl ₅ crystals

Application of a modified method of ultrasonic measurements for determination of elastic moduli of rocks

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Anisotropy of elastic properties of rocks

Cited by 21 publications

References 7 publications

The seismic velocity and Poisson's ratio structure of the Kapuskasing uplift from laboratory measurements

The seismic velocity and Poisson's ratio structure of the Kapuskasing uplift from laboratory measurements

Raman spectra and elastic properties of KPb 2 Cl 5 crystals

Application of a modified method of ultrasonic measurements for determination of elastic moduli of rocks

Contact Info

Product

Resources

About

Raman spectra and elastic properties of KPb ₂ Cl ₅ crystals