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Inner-core shear-wave anisotropy and texture from an observation of PKJKP waves

Abstract

Since the discovery of the Earth’s core a century ago1, and the subsequent discovery2 of a solid inner core (postulated to have formed by the freezing of iron3) seismologists have striven to understand this most remote part of the deep Earth. The most direct evidence for a solid inner core would be the observation of shear-mode body waves that traverse it, but these phases are extremely difficult to observe. Two reported observations in short-period data4,5 have proved controversial6. Arguably more successful have been studies of longer-period data6,7, but such averaging limits the usefulness of the observations to reported sightings. We present two observations of an inner-core shear-wave phase at higher frequencies in stacked data from the Japanese High-Sensitivity Array, Hi-Net8. From an analysis of timing, amplitude and waveform of the ‘PKJKP’ phase we derive constraints on inner-core compressional-wave velocity and shear attenuation at about 0.3 Hz which differ from standard isotropic core models9. We can explain waveform features and can partially reconcile the otherwise large differences between core wavespeed and attenuation models that our observations apparently suggest if we invoke shear-wave anisotropy in the inner core. A simple model of an inner core composed of hexagonal close-packed iron with its c axis aligned perpendicular to the rotation axis10 yields anisotropy that is compatible with both the shear-wave anisotropy that we observe and the well-established 3 per cent compressional-wave anisotropy.

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Figure 1: Source, ray path and receiver geometry.
Figure 2: Seismic data.
Figure 3: Real (top) and synthetic waveforms (bottom).
Figure 4: Possible causes of crystal alignment in the inner core.

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References

  1. Oldham, R. D. The constitution of the interior of the Earth, as revealed by earthquakes. Q. J. Geol. Soc. Lond. 62, 456–475 (1906)

    Article  Google Scholar 

  2. Lehmann, I. P′ Bur. Centr. Sismol. Int. A 14, 87–115 (1936)

    Google Scholar 

  3. Birch, F. The alpha–gamma transformation of iron at high pressures, and the problem of the Earth’s magnetism. Am. J. Sci. 238, 192–211 (1940)

    Article  CAS  Google Scholar 

  4. Julian, B. R., Sheppard, R. M. & Davies, D. PKJKP. Nature 235, 317–318 (1972)

    Article  ADS  Google Scholar 

  5. Okal, E. A. & Cansi, Y. Detection of PKJKP at intermediate periods by progressive multi-channel correlation. Earth Planet. Sci. Lett. 164, 23–30 (1998)

    Article  ADS  CAS  Google Scholar 

  6. Deuss, A., Woodhouse, J. H., Paulssen, H. & Trampert, J. The observation of inner core shear waves. Geophys. J. Int. 142, 67–73 (2000)

    Article  ADS  Google Scholar 

  7. Cao, A. M., Romanowicz, B. & Takeuchi, N. An observation of PKJKP: Inferences on inner core shear properties. Science 308, 1453–1455 (2005)

    Article  ADS  CAS  Google Scholar 

  8. Obara, K., Kasahara, K., Hori, S. & Okada, Y. A densely distributed high-sensitivity seismograph network in Japan: Hi-net by National Research Institute for Earth Science and Disaster Prevention. Rev. Sci. Instrum. 76, 21301–1–12 (2005)

    Article  Google Scholar 

  9. Kennett, B. L. N., Engdahl, E. R. & Buland, R. Constraints on seismic velocities in the Earth from traveltimes. Geophys. J. Int. 122, 108–124 (1995)

    Article  ADS  Google Scholar 

  10. Steinle-Neumann, G., Stixrude, L., Cohen, R. E. & Gülseren, O. Elasticity of iron at the temperature of the Earth’s inner core. Nature 413, 57–60 (2001)

    Article  ADS  CAS  Google Scholar 

  11. Schimmel, M. & Paulssen, H. Noise reduction and detection of weak, coherent signals through phase-weighted stacks. Geophys. J. Int. 130, 497–505 (1997)

    Article  ADS  Google Scholar 

  12. Song, X. Anisotropy of the Earth’s inner core. Rev. Geophys. 35, 297–314 (1997)

    Article  ADS  Google Scholar 

  13. Stixrude, L. & Cohen, R. E. High-pressure elasticity of iron and anisotropy of Earth’s inner core. Science 267, 1972–1975 (1995)

    Article  ADS  CAS  Google Scholar 

  14. Vočadlo, L. Ab initio calculations of the elasticity of iron and iron alloys at inner core conditions: evidence for a partially molten inner core? Earth Planet. Sci. Lett. 254, 227–232 (2007)

    Article  ADS  Google Scholar 

  15. Barrett, C. & Massalski, T. Structure of Metals: Crystallographic Methods Principles and Data 3rd rev. edn (Pergamon, Oxford, 1980)

    Google Scholar 

  16. Bergman, M. I., MacLeod-Silberstein, M., Haskel, M., Chandler, B. & Akpan, N. A laboratory model for solidification of Earth’s core. Phys. Earth Planet. Int. 153, 150–164 (2005)

    Article  ADS  CAS  Google Scholar 

  17. Yoshida, S., Sumita, I. & Kumazawa, M. Growth model of the inner core coupled with the outer core dynamics and the resulting elastic anisotropy. J. Geophys. Res. 101, 28085–28103 (1996)

    Article  ADS  CAS  Google Scholar 

  18. Buffett, B. A. & Wenk, H. R. Texturing of the Earth’s inner core by Maxwell stresses. Nature 413, 60–63 (2001)

    Article  ADS  CAS  Google Scholar 

  19. Tromp, J. Support for anisotropy of the Earth’s inner core from free oscillations. Nature 366, 678–681 (1993)

    Article  ADS  Google Scholar 

  20. Beghein, C. & Trampert, J. Robust normal mode constraints on inner-core anisotropy from model space search. Science 299, 552–555 (2003)

    Article  ADS  CAS  Google Scholar 

  21. Creager, K. Anisotropy of the inner core from differential travel-times of the phases PKP and PKIKP. Nature 356, 309–314 (1992)

    Article  ADS  Google Scholar 

  22. Widmer, R., Masters, G. & Gilbert, F. Spherically symmetric attenuation within the Earth from normal mode data. Geophys. J. Int. 104, 541–553 (1991)

    Article  ADS  Google Scholar 

  23. Kaneshima, S. Mapping heterogeneity of the uppermost inner core using two pairs of core phases. Geophys. Res. Lett. 23, 3075–3078 (1996)

    Article  ADS  Google Scholar 

  24. Tanaka, S. & Hamaguchi, H. Degree one heterogeneity and hemispherical variation of anisotropy in the inner core from PKP(BC)-PKP(DF) times. J. Geophys. Res. 102, 2925–2938 (1997)

    Article  ADS  Google Scholar 

  25. Koper, K. D. & Pyle, M. L. Observations of PKiKP/PcP amplitude ratios and implications for Earth structure at the boundaries of the liquid core. J. Geophys. Res. 109, B03301 (2004)

    Article  ADS  Google Scholar 

  26. Krasnoshchekov, D. N., Kaazik, P. B. & Ovtchinnikov, V. M. Seismological evidence for mosaic structure of the surface of the Earth’s inner core. Nature 435, 483–487 (2005)

    Article  ADS  CAS  Google Scholar 

  27. Koper, K. D. & Dombrovskaya, M. Seismic properties of the inner core boundary from PKiKP/P amplitude ratios. Earth Planet. Sci. Lett. 237, 680–694 (2005)

    Article  ADS  CAS  Google Scholar 

  28. Romanowicz, B. & Durek, J. J. in Earth’s Deep Interior: Mineral Physics and Tomography from the Atomic to the Global Scale (eds Karato, S., Forte, A., Liebermann, R., Masters, G. & Stixrude, L.) Geophys. Monogr. 117, 161–179 (Am. Geophys. Un., Washington DC, 2000)

    Book  Google Scholar 

  29. Cormier, V. F. & Li, X. Frequency-dependent seismic attenuation in the inner core 2. A scattering and fabric interpretation. J. Geophys. Res. 107, 2362– (2002)

    Article  ADS  Google Scholar 

  30. Rawlinson, N. & Kennett, B. L. N. Rapid estimation of relative and absolute delay times across a network by adaptive stacking. Geophys. J. Int. 157, 332–340 (2004)

    Article  ADS  Google Scholar 

  31. Mueller, G. The reflectivity method; a tutorial. J. Geophys. 58, 153–174 (1985)

    ADS  Google Scholar 

  32. Helffrich, G. R. How good are routinely determined focal mechanisms? Empirical statistics based on a comparison of Harvard, USGS and ERI moment tensors. Geophys. J. Int. 131, 741–750 (1997)

    Article  ADS  Google Scholar 

  33. Zhang, K. Nonlinear magnetohydrodynamic convective flows in the Earth's fluid core. Phys. Earth Planet. Inter. 111, 93–103 (1999)

    Article  ADS  Google Scholar 

  34. Thomsen, L. Weak elastic anisotropy. Geophysics 51, 1954–1966 (1986)

    Article  ADS  Google Scholar 

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Acknowledgements

We thank L. Vočadlo, M. Kendall, M. Bergman and A. Deuss for discussions, C. Beghein for providing her inner-core anisotropy models and L. Stixrude for a review. J.W. was supported by a NERC postdoctoral fellowship grant.

Author Contributions Data analysis and modelling was undertaken by J.W., initiated by, and in consultation with, G.H. Phase-weighted stacking code and inner-core texture models were developed by G.H. Manuscript and figures were produced by J.W.

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Correspondence to James Wookey.

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Wookey, J., Helffrich, G. Inner-core shear-wave anisotropy and texture from an observation of PKJKP waves. Nature 454, 873–876 (2008). https://doi.org/10.1038/nature07131

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