On the effects of anisotropic rheology on ice flow, internal structure, and the age-depth relationship at ice divides

Journal of Geophysical Research: Earth Surface

Volumn 114, Issue 4, 2009, Pages

  Martín, Carlos ^a   Gudmundsson, G Hilmar ^a   Pritchard, Hamish D ^a   Gagliardini, Olivier ^b  

^a CNRS   (France)

^b BRITISH ANTARCTIC SURVEY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ESTIMATION METHOD; GEOMETRY; ICE CORE; ICE FLOW; NUMERICAL MODEL; RHEOLOGY; STOKES FORMULA;

ANTARCTICA;

EID: 77954339776     PISSN: None     EISSN: 21699011     Source Type: Journal    
DOI: 10.1029/2008JF001204     Document Type: Article

References (55)

1. Advani, S. G., and G. L. Tucker (1990), Closure approximations for threedimensional structure tensors, J Rheol, 34, 367-386.
2. Alley, R., A. Gow, and D. Meese (1995), Mapping c-axis fabrics to study physical processes in ice, J. Glaciol., 41(131), 197-203.
3. Arthern, R. J., D. P. Winebrenner, and D. G. Vaughan (2006), Antarctic snow accumulation mapped using polarization of 4.3-cm wavelength microwave emission, J. Geophys. Res., 111, D06107, doi:10.1029/ 2004JD005667.
4. Castelnau, O., P. Duval, R. A. Lebensohn, and G. R. Canova (1996),Viscoplastic modeling of texture development in polycrystalline ice with a self-consistent approach: Comparison with bound estimates, J. Geophys. Res., 101(B6), 13,851-13,868.
5. Castelnau, O., P. Duval, M. Montagnat, and R. Brenner (2008), Elastovis-coplastic micromechanical modeling of the transient creep of ice, J Geophys. Res., 113, B11203, doi:10.1029/2008JB005751.
6. Chung, D. H., and T. H. Kwon (2002), Invariant-based optimal fitting closure approximation for the numerical prediction of flow-induced fiber orientation, J Rheol, 46, 169-194.
7. Comiso, J. (2000), Variability and trends in Antarctic surface temperatures from in situ and satellite infrared measurements, J. Clim., 13(10), 1674-1696.
8. Conway, H., B. L. Hall, G. H. Denton, A. M. Gades, and E. D. Waddington (1999), Past and future grounding-line retreat of the West Antarctic Ice Sheet, Science, 286, 280-283. (Pubitemid 29484689)
9. Diprinzio, C. L., L. A. Wilen, R. B. Alley, J. J. Fitzpatrick, M. K. Spencer, and A. J. Gow (2005), Fabric and texture at Siple Dome, Antarctica, J. Glaciol, 51(113), 281-290.
10. Durand, G., F. Gillet-Chaulet, A. Svensson, O. Gagliardini, S. Kipfstuhl, J. Meyssonnier, F. Parrenin, P. Duval, and D. Dahl-Jensen (2007), Change in ice rheology during climate variations: Implications for ice flow modelling and dating of the EPICA Dome C core, Clim. Past, 3, 155-167. (Pubitemid 46449546)
11. Eisen, O., I. Hamann, S. Kipfstuhl, D. Steinhage, and F. Wilhelms (2007), Direct evidence for continuous radar reflector originating from changes in crystal-orientation fabric, Cryosphere, 1(1), 1-10.
12. Gagliardini, O., and J. Meyssonnier (1999), Analytical derivations for the behavior and fabric evolution of a linear orthotopic ice polycrystal, J Geophys. Res., 104(B8), 17,797-17,810.
13. Gagliardini, O., F. Gillet-Chaulet, and M. Montagnat (2009), A review of anisotropic polar ice models: From crystal to ice-sheet flow models, in Physics of Ice Core Records, vol. 2, edited by T. Hondoh, Yoshioka, Kyoto, Japan, in press.
14. Gillet-Chaulet, F. (2007), Modélisation de l'écoulement de la glace polaire anisotrope et premières applications au forage de Dôme C, Ph.D. thesis, Univ. Joseph Fourier, Grenoble, France.
15. Gillet-Chaulet, F., O. Gagliardini, J. Meyssonnier, M. Montagnat, and O. Castelnau (2005), A user-friendly anisotropic flow law for ice-sheet modelling, J. Glaciol, 51(112), 3-14. (Pubitemid 41595693)
16. Gillet-Chaulet, F., O. Gagliardini, J. Meyssonnier, T. Zwinger, and J. Ruokolainen (2006), Flow-induced anisotropy in polar ice and related ice-sheet flow modelling, J. Non Newtonian Fluid Mech., 124, 33-43.
17. Gödert, G. (2003), A mesoscopic approach for modelling texture evolution of polar ice including recrystallization phenomena, Ann. Glaciol, 37, 23-28.
18. Goodwin, A. H., and D. G. Vaughan (1995), A topographic origin for double-ridge features in visible imagery of ice divides in Antarctica, J Glaciol, 41(139), 483-489.
19. Gow, A., D. Meese, R. Alley, J. Fitzpatrick, S. Anandakrishnan, G. Woods, and B. Elder (1997), Physical and structural properties of the Greenland Ice Sheet Project 2 ice core: A review, J. Geophys. Res., 102(C12), 26, 559-26, 575.
20. Gudmundsson, G. H. (1997a), Basal-flow characteristics of a linear medium sliding frictionless over small bedrock undulations, J. Glaciol, 43(143), 71-79. (Pubitemid 127557711)
21. Gudmundsson, G. H. (1997b), Basal-flow characteristics of a non-linear flow sliding frictionless over strongly undulating bedrock, J. Glaciol, 43(143), 80-89. (Pubitemid 127557712)
22. Haran, T., J. Bohlander, T. Scambos, T. Painter, and M. Fahnestock (2005), MODIS mosaic of Antarctica (MOA) image map, http://nsidc.org/MMS/ moa/moamap.html, Natl. Snow Ice Data Cent., Boulder, Colo. (Updated in 2006.)
23. Hindmarsh, R. C. A. (1996), Stochastic perturbation of divide position, Ann. Glaciol., 23, 93-104.
24. Hutter, K. (1983), Theoretical Glaciology, D. Reidel, Dordrecht, Netherlands.
25. Hvidberg, C. S. (1996), Steady-state thermomechanical modelling of ice flow near the centre of large ice sheets with the finite-element technique, Ann. Glaciol., 23, 116-123. (Pubitemid 27457898)
26. Lliboutry, L. A. (1987), Very Slow Flows of Solids: Basics of Modeling in Geodynamics and Glaciology, Martinus Nijhoff, Dordrecht, Netherlands.
27. Lliboutry, L. (1993), Anisotropic, transversely isotropic nonlinear viscosity of rock ice and rheological parameters inferred from homogenization, Int. J Plast, 9(5), 619-632.
28. Lucchitta, B. K., J. A. Bowell, K. E. Edwards, E. M. Eliason, and H. M. Ferguson (1987), Multispectral Landsat images of Antarctica, U.S. Geol. Surv. Butt., 1696.
29. Mangeney, A., and F. Califano (1998), The shallow ice approximation for anisotropic ice: Formulation and limits, J. Geophys. Res., 103(B1), 691-706, doi:10.1029/97JB02539.
30. Mangeney, A., F. Califano, and K. Hutter (1997), A numerical study of anisotropic, low Reynolds number, free surface flow for ice sheet modeling, J Geophys. Res., 102(B 10), 22, 749-22, 764.
31. Martin, C. (2003), Modelización numérica de la dinámica de los glaciares templados y análisis de su respuesta a los cambios climáticos, Ph.D. thesis, Escuela Tec. Super, de Ing. de Telecomun., Univ. Politec. de Madrid, Madrid, Spain.
32. Martín, C., F. Navarro, J. Otero, M. L. Cuadrado, and M. I. Corcuera (2003), Three-dimensional modelling of the dynamics of Johnsons Glacier (Livingston Island, Antarctica), Ann. Glaciol, 39, 1-8.
33. Martin, C., R. C. A. Hindmarsh, and F. J. Navarro (2006), Dating ice flow change near the flow divide at Roosevelt Island, Antarctica, by using a thermomechanical model to predict radar stratigraphy, J. Geophys. Res., 111, F01011, doi:10.1029/2005JF000326.
34. Martin, C., R. C. A. Hindmarsh, and F. J. Navarro (2009), On the effects of divide migration, along-ridge flow, and basal sliding on isochrones near an ice divide, J. Geophys. Res., 114, F02006, doi:10.1029/ 2008JF001025.
35. Meyssonnier, J., and A. Philip (1996), A model for the tangent viscous behaviour of anisotropic polar ice, Ann. Glaciol, 23, 253-261. (Pubitemid 27442722)
36. Nereson, N. A., and C. F. Raymond (2000), The accumulation pattern across Siple Dome, West Antarctica, inferred from radar-detected internal layers, J Glaciol, 46(152), 75-87.
37. Nereson, N. A., and C. F. Raymond (2001), The elevation history of ice streams and the spatial accumulation pattern along the Siple Coast West Antarctica inferred from ground-based radar data from three inter-icestream ridges, J. Glaciol, 47(151), 303-313.
38. Nereson, N. A., and E. D. Waddington (2002), Isochrones and isotherms beneath migrating ice divides, J. Glaciol, 48(160), 95-108.
39. Nereson, N. A., R. C. A. Hindmarsh, and C. F. Raymond (1998a), Sensitivity of the divide position at Siple Dome, West Antarctica, to boundary forcing, Ann. Glaciol., 27, 207-214.
40. Nereson, N. A., C. F. Raymond, E. D. Waddington, and R. W. Jacobel (1998b), Migration of the Siple Dome ice divide, West Antarctica, J Glaciol, 44(148), 643-652.
41. Parrenin, F., and R. C. A. Hindmarsh (2007), Influence of a non-unifo rmvelocity field on isochrone geometry along a steady flowline of an ice sheet, J Glaciol, 53(183), 612-622.
42. Paterson, W. S. B. (1994), The Physics of Glaciers, 3rd ed., Pergamon, Oxford, U. K.
43. Pettit, E. (2003), Unique dynamic behaviors of ice divides: Siple Dome and the rheological properties of ice, Ph.D. thesis, Univ. of Washington, Seattle.
44. Pettit, E. C., H. P. Jacobson, and E. D. Waddington (2003), Effect of basal sliding on isochrones and flow near an ice divide, Ann. Glaciol, 37, 370-376.
45. Pettit, E. C., T. Thorsteinsson, H. P. Jacobson, and E. D. Waddington (2007), The role of crystal fabric in flow near an ice divide, J. Glaciol, 53(181), 277-288.
46. Quarteroni, A., and A. Valli (1994), Numerical Approximation of Partial Differential Equations, 1st ed., Springer, Berlin.
47. Raymond, C. F. (1983), Deformation in the vicinity of ice divides, J. Glaciol, 29(103), 357-373.
48. Robin, G. de Q. (1955), Ice movement and temperature distribution in glaciers and ice sheets, J. Glaciol, 2(18), 523-532.
49. Staniforth, A., and J. Côté (1991), Semi-Lagrangian integration schemes for atmospheric models: A review, Mon. Weather Rev., 119, 2206-2223.
50. Thorsteinsson, T. (2001), An analytical approach to deformation of anisotropic ice-crystal aggregates, J. Glaciol, 47(158), 507-516.
51. Thorsteinsson, T., J. Kipfstuhl, and H. Miller (1997), Textures and fabrics in the GRIP ice core, J Geophys. Res., 102(C12), 26, 583-26, 599.
52. Van der Veen, C. J. (1999), Fundamentals of Glacier Dynamics, 1st ed., A. A. Balkema, Rotterdam, Netherlands.
53. Vaughan, D. G., H. F. J. Corr, C. S. M. Doake, and E. D. Waddington (1999), Distortion of isochronous layers in ice revealed by groundpenetrating radar, Nature, 398(6125), 323-326. (Pubitemid 129522970)
54. Wang, Y., T. Thorsteinsson, J. Kipfstuhl, H. Miller, D. Dahl-Jensen, and H. Shoji (2002), A vertical girdle fabric in the NorthGRIP deep ice core, North Greenland, Ann. Glaciol, 35, 515-520. (Pubitemid 36568147)
55. Woodcock, N. (1977), Specification of fabric shapes using an eigenvalue method, Geol. Soc. Am. Bull., 88, 1231-1236.