Die elastischen Konstanten des Eises

Bass, R.; Rossberg, Dietrich; Ziegler, G. E.

doi:10.1007/bf01341340

Cited by 87 publications

(33 citation statements)

References 6 publications

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“…The observed temperature dependence in our travel-time estimates of V p are consistent with Vogt et al (2008), Kohnen (1974), Bentley (1972Bentley ( , 1971, and Bass et al (1957). Our results indicate that, in the temperature range of interest, the compressional wave speed is more sensitive to temperature than the shear wave speed.…”

Section: Temperature Dependence and Pre-meltsupporting

confidence: 85%

Monitoring the temperature-dependent elastic and anelastic properties in isotropic polycrystalline ice using resonant ultrasound spectroscopy

et al. 2016

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Abstract. The elastic and anelastic properties of ice are of interest in the study of the dynamics of sea ice, glaciers, and ice sheets. Resonant ultrasound spectroscopy allows quantitative estimates of these properties and aids calibration of active and passive seismic data gathered in the field. The elastic properties and anelastic quality factor Q in laboratorymanufactured polycrystalline isotropic ice cores decrease (reversibly) with increasing temperature, but compressionalwave speed and attenuation prove most sensitive to temperature, indicative of pre-melting of the ice. This method of resonant ultrasound spectroscopy can be deployed in the field, for those situations where shipping samples is difficult (e.g. remote locations), or where the properties of ice change rapidly after extraction (e.g. in the case of sea ice).

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Section: Temperature Dependence and Pre-meltsupporting

confidence: 85%

Monitoring the temperature-dependent elastic and anelastic properties in isotropic polycrystalline ice using resonant ultrasound spectroscopy

et al. 2016

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“…This temperature was the same as that used by Jona and Scherrer (1952) in their determination of ice elastic moduli and lay within the range of temperatures investigated by Dantl (1969) and by Bass and others (1957). As well , -16 Q C lies within the range of those temperatures most frequently associated with the occurrence of ice in the natural environment.…”

Section: Brillouin Spectroscopysupporting

confidence: 70%

“…A measurement of the complete set of elastic compliance constants of artificial monocrystalline ice was reported by Bass and others (1957). However, for purposes of comparison with other measurements, the elastic compliance matrix must be inverted to obtain the elastic stitTness-constant matrix (i.e.…”

Section: Review Of Previous Workmentioning

confidence: 99%

Elastic Constants of Artificial and Natural Ice Samples by Brillouin Spectroscopy

et al. 1983

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ABSTRACT. The method of Brillouin spectroscopy has been used to measure the dynamic elastic moduli of local homogeneous regions in ice samples representing four different environments of formation . These included artificial ice frozen from distilled water, clear monocrystalline glacial ice, bubbly lake ice, and sea ice. The samples studied were found to have identical local elastic properties. Accordingly the elastic properties of homogeneo us monocrystalline ice have been found not to vary with sa mple age, with impurities present at the time of freezing , or with crystal quality. The bulk elastic properties of ice remain , of course, subject to modification by different crystal grain textures and the presence of inclusions of various sorts. Because the elastic constants obtained in the present work are subject to smaller overall uncertainty than values meas ured previously, it is believed that they are the most reliable obtained to date. The values at -16°C were determined to be c II = 139.29 ± 0.41 , Cl2 = 70.82 ± 0.39, Cl3 = 57.65 ± 0.23 , C33 = 150.10 ± 0.46, C44 = 30.14 ± 0. 11 (units of 10 8 N m -2 or kbar). A full range of derived elastic parameters for monocrystalline ice and for homogeneous isotropic polycrystalline ice has been calculated. RESUME . Conslanles idasliques d'echanlillons de glace arlificielle el nalurelle par speclrographie deBril/ouin. On a utilise la methode de la spectrographie de Brillouin pour mesurer les modules dynamiques elastiques de region s localement homogenes dans des echantillons de glace representant quatre diffe re ntes circonstances de formation. [\ s'agissa it d'une glace artificielle obtenue a partir d'eau distillee, d' une glace c laire monocri stalline, d' une glace bulleuse de lac et d' une glace de mer. On a trouve que les ec hantillons etudies avaient des proprietes elastiques locales identiques. Logiquement, les proprietes elastiques d ' une glace homogene mo nocri stalline ont ete trouvees independantes de I'age de I'echantillon, des impuretes pfl!Sentes au moment de la congelation ou de la qualite du crista!' Les proprietes elastiques globales de la glace demeurent, naturellement, s ujettes a modificatio ns selon les differentes textures cri stallines des grain s et la presence d'in c lu sion de differentes sortes. Comme les constantes eIastiques obtenues dan s la presente etude son t affectees d ' un e incertitude globa le inferieure aux va leurs precedemment mesurees on pense qu'elles sont les plu s dignes de con fiance obtenues jusqu 'ici. Les valcurs obtenues a -16°C ont ete: cll = 139, 29 ± 0 ,41 , CI2 =70,82± 0,39, cl3 =S 7.6S ± 0,23, c33= ISO, 10 ± 0,46 , c44 = 30,14 ± 0, 11 (unites: 10 8 Nm -2 ou kbars). Toute une serie de para metres eIas tiques derives ont ete calcules pour de la glace monocristalline et pour une glace polycristalline homogene et isotrope. ZUSAMMENFASSUNG. Elasliche Konslanlen von kiinsllichen und Ilalurlichen E isp roben, gel\lonnen mil Brillollin-speklroskopie.Das Verfahren der Brillouin-Spektroskopie wurde zur Mess ung der dyn...

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“…Elasticity tensor rms error Bass et al (1957) 13.3 ± 0.8 14.2 ± 0.7 3.06 ± 0.015 6.3 ± 0.8 4.6 ± 0.9 147 160 155 Green and Mackinnen (1956) 13.33 ± 1.98 14.28 ± 0.54 3.26 ± 0.08 6.03 ± 0.72 5.08 ± 0.72 115 125 121 Dantl (1968) 13.21 ± 0.04 14.43 ± 0.06 2.89 ± 0.02 6.7 ± 0.13 5.79 ± 0.41 106 117 112 Brockamp and Querfurth (1964) 13.63 14.85 3.04 6.69 (5.19) 79 87 83 Gammon et al (1983) 13.93 ± 0.04 15.01 ± 0.05 3.01 ± 0.01 7.08 ± 0.04 5.77 ± 0.02 59 61 57 Jona and Scherrer (1952) 13.845 ± 0.08 14.99 ± 0.08 3.19 ± 0.03 7.07 ± 0.12 5.81 ± 0.16 58 57 54 Bennett (1968) 14. Figure 2c shows as an example the zero-offset P-wave velocity v p0 calculated from the monocrystal elasticity tensor measured by Gammon et al (1983) converted to the polycrystal elasticity tensor and seismic velocities with our method mentioned above.…”

Section: Calculation Of Seismic Velocities For Anisotropic Icementioning

confidence: 99%

“…The different vertical P-wave velocities calculated from the different elasticity tensors all follow the same velocity trend over depth, which is determined by the COF eigenvalues. The highest P-wave velocities are calculated from the theoretically derived elasticity tensor of Penny (1948), and the lowest derived P-wave velocities from the elasticity tensor of Bass et al (1957), who used the resonance frequencies to derive the components of the elasticity tensor. The velocities derived from the elasticity tensors of Gammon et al (1983), Jona and Scherrer (1952) and Bennett (1968) all show good agreement with the VSP velocities.…”

Section: Different Elasticity Tensorsmentioning

confidence: 99%

Seismic wave propagation in anisotropic ice – Part 2: Effects of crystal anisotropy in geophysical data

et al. 2015

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Abstract.We investigate the propagation of seismic waves in anisotropic ice. Two effects are important: (i) sudden changes in crystal orientation fabric (COF) lead to englacial reflections; (ii) the anisotropic fabric induces an angle dependency on the seismic velocities and, thus, recorded travel times. Velocities calculated from the polycrystal elasticity tensor derived for the anisotropic fabric from measured COF eigenvalues of the EDML ice core, Antarctica, show good agreement with the velocity trend determined from vertical seismic profiling. The agreement of the absolute velocity values, however, depends on the choice of the monocrystal elasticity tensor used for the calculation of the polycrystal properties. We make use of abrupt changes in COF as a common reflection mechanism for seismic and radar data below the firnice transition to determine COF-induced reflections in either data set by joint comparison with ice-core data. Our results highlight the possibility to complement regional radar surveys with local, surface-based seismic experiments to separate isochrones in radar data from other mechanisms. This is important for the reconnaissance of future ice-core drill sites, where accurate isochrone (i.e. non-COF) layer integrity allows for synchronization with other cores, as well as studies of ice dynamics considering non-homogeneous ice viscosity from preferred crystal orientations.

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Die elastischen Konstanten des Eises

Cited by 87 publications

References 6 publications

Monitoring the temperature-dependent elastic and anelastic properties in isotropic polycrystalline ice using resonant ultrasound spectroscopy

Monitoring the temperature-dependent elastic and anelastic properties in isotropic polycrystalline ice using resonant ultrasound spectroscopy

Elastic Constants of Artificial and Natural Ice Samples by Brillouin Spectroscopy

Seismic wave propagation in anisotropic ice – Part 2: Effects of crystal anisotropy in geophysical data

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