Skip to main content

Anisotropic isothermal ice-cap flow with the shallow ice approximation

  • Ice Physics
  • Conference paper
  • First Online:
Advances in Cold-Region Thermal Engineering and Sciences

Part of the book series: Lecture Notes in Physics ((LNP,volume 533))

Abstract

The influence of polar ice anisotropy on the two-dimensional plane strain and steady-state flow of an isothermal ice-sheet is analysed by using the Shallow Ice Approximation (SIA). The SIA solution is obtained up to the second order in the aspect-ratio ε of the ice-sheet for the flow of orthotropic ice when one of the planes of orthotropy is the plane of the ice-sheet flow. The solution is discussed for the special case of transverse isotropy when the rotational symmetry axis is in the plane of the flow, but not necessarily vertical. It is shown that in general nonnegligible additional terms appear in the solution at order O(ε 0) by comparison to the solution for isotropic ice.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Brisset, L. and Remy, F. (1996) Antarctic topography and kilometer-scale roughness derived from ERS-1 altimetry. Ann. Glaciol., 23, 374–381.

    ADS  Google Scholar 

  2. Gagliardini, O. (1999) Simulation numérique d’un écoulement bidimensionnel de glace polaire présentant une anisotropie induite évolutive. Thèse de Doctorat de l’Université Joseph Fourier-Grenoble I.

    Google Scholar 

  3. Hutter, K. (1983) Theoretical Glaciology. Reidel Pub. Compagny, Dordrecht and Terra Scientific Publ. Company Tokyo.

    Google Scholar 

  4. Schott Hvidberg, C., Dahl-Jensen, D. and Waddington, E.D. (1997) Ice flow between the Greenland ice-core project and Greenland ice-sheet project 2 bore-holes in central Greenland. J. Geophys. Res., 102(B10), 26851–26859.

    Article  ADS  Google Scholar 

  5. Jacka, T.H. and Budd, W.F. (1989) Isotropic and anisotropic flow relations for ice dynamics. Ann. Glaciol., 12, 81–84.

    ADS  Google Scholar 

  6. Lile, R.C. (1978) The effect of anisotropy on the creep of polycrystalline ice. J. Glaciol., 21, 475–483.

    ADS  Google Scholar 

  7. Lipenkov, V.Ya., Barkov, N.I., Duval, P. and Pimenta, P. (1989) Crystalline texture of the 2083m ice-core at Vostok station, Antarctica. J. Glaciol., 35, No. 121, 392–398.

    ADS  Google Scholar 

  8. Mangeney, A., Califano, F., and Hutter, K. (1997) A numerical study of anisotropic, low Reynolds number, free surface flow of ice-sheet modeling. J. Geophys. Res., 102(B10), 22749–22764.

    Article  ADS  Google Scholar 

  9. Mangeney, A. and Califano, F. (1998) The shallow ice approximation for anisotropic ice: formulation and limits J. Geophys. Res., 103(B1), 691–705.

    Article  ADS  Google Scholar 

  10. Meyssonnier, J. and Philip, A. (1996) A model for the tangent viscous behaviour of anisotropic polar ice. Ann. Glaciol., 23, 253–261.

    ADS  Google Scholar 

  11. Morland, L.W. (1984) Thermomechanical balances of ice-sheet flows. Geophys. Astrophys. Fluid Dyn., 29, 237–266.

    Article  ADS  MATH  Google Scholar 

  12. Thorsteinsson, T., Kipfstuhl, J. and Miller, H. (1997) Textures and fabrics in the GRIP ice core. J. Geophys. Res., 102 (C12), 26583–26599.

    Article  ADS  Google Scholar 

  13. Vialov, S.S. (1958) Regularities of glacial shields movements and the theory of plastic viscous flow. Physics of the movements of ice IAHS, 47, 266–275.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Kolumban Hutter Yongqi Wang Hans Beer

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag

About this paper

Cite this paper

Philip, A., Meyssonnier, J. (1999). Anisotropic isothermal ice-cap flow with the shallow ice approximation. In: Hutter, K., Wang, Y., Beer, H. (eds) Advances in Cold-Region Thermal Engineering and Sciences. Lecture Notes in Physics, vol 533. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104186

Download citation

  • DOI: https://doi.org/10.1007/BFb0104186

  • Received:

  • Accepted:

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66333-1

  • Online ISBN: 978-3-540-48410-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics