The crossover stress, anisotropy and the ice flow law at Siple Dome, West Antarctica

Journal of Glaciology

Volumn 57, Issue 201, 2011, Pages 39-52

  Pettit, Erin C ^a,b   Waddington, Edwin D ^b   Harrison, William D ^a   Thorsteinsson, Throstur ^c   Elsberg, Daniel ^a   Morack, John ^a   Zumberge, Mark A ^d  

^a UNIVERSITY OF ALASKA FAIRBANKS   (United States)

^b UNIVERSITY OF WASHINGTON   (United States)

^c UNIVERSITY OF ICELAND   (Iceland)

^d UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; DEFORMATION MECHANISM; ICE FLOW; ICE RIDGE; ICE SHEET; STRESS;

ANTARCTICA; SIPLE DOME; WEST ANTARCTICA;

EID: 79958862830     PISSN: 00221430     EISSN: None     Source Type: Journal    
DOI: 10.3189/002214311795306619     Document Type: Article

References (72)

1. Alley, R. B. 1992. Flow-law hypotheses for ice-sheet modeling. J. Glaciol., 38(129), 245-256. (Pubitemid 23375097)
2. Alley, R. B., J. H. Perepezko and C. R. Bentley. 1986a. Grain growth in polar ice: I. theory. J. Glaciol., 32(112), 415-424.
3. Alley, R. B., J. H. Perepezko and C. R. Bentley. 1986b. Grain growth in polar ice: II. applications. J. Glaciol., 32(112), 425-433.
4. Azuma, N. 1994. A flow law for anisotropic ice and its application to ice sheets. Earth Planet. Sci. Lett., 128(3-4), 601-614.
5. Bromwich, D. H. 1988. Snowfall in high southern latitudes. Rev. Geophys., 26(1), 149-168.
6. Castelnau, O., P. Duval, R. Lebensohn and G. R. Canova. 1996. Viscoplastic modeling of texture development in polycrystalline ice with a self-consistent approach: comparison with bound estimates. J. Glaciol. Res., 101(B6), 13, 851-13, 868.
7. Castelnau, O. and 7 others. 1998. Anisotropic behavior of GRIP ices and flow in central Greenland. Earth Planet. Sci. Lett., 154(1-4), 307-322.
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(5438), 280-283. (Pubitemid 29484689)
9. Cuffey, K. M., H. Conway, A. Gades, B. Hallet, C. F. Raymond and S. Whitlow. 2000a. Deformation properties of subfreezing glacier ice: role of crystal size, chemical impurities, and rock particles inferred from in situ measurements. J. Glaciol. Res., 105(B12), 27, 895-27, 915. (Pubitemid 32184140)
10. Cuffey, K. M., T. Thorsteinsson and E. D. Waddington. 2000b. A renewed argument for crystal size control of ice sheet strain rates. J. Glaciol. Res., 105(B12), 27, 889-27, 894. (Pubitemid 32184139)
11. Dansgaard, W. and S. J. Johnsen. 1969. A flow model and a time scale for the ice core from Camp Century, Greenland. J. Glaciol., 8(53), 215-223.
12. De Bresser, J., J. Ter Heege and C. Spiers. 2001. Grain size reduction by dynamic recrystallization: can it result in major rheological weakening? Int. J. Earth Sci., 90(1), 28-45. (Pubitemid 32644117)
13. 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(173), 281-290. (Pubitemid 41763410)
14. Durand, G. and 10 others. 2006. Effect of impurities on grain growth in cold ice sheets, J. Glaciol. Res., 111(F1), F01015. (10.1029/2005JF000320.) (Pubitemid 46542372)
15. Durand, G. and 8 others. 2007. Change in ice rheology during climate variations - implications for ice flow modelling and dating of the EPICA Dome C core. Climate Past, 3(1), 155-167. (Pubitemid 46449546)
16. Duval, P., M. F. Ashby and I. Anderman. 1983. Rate-controlling processes in the creep of polycrystalline ice. J. Phys. Chem., 87(21), 4066-4074.
17. Elsberg, D. H. and 6 others. 2004. Depth-and time-dependent vertical strain rates at Siple Dome, Antarctica. J. Glaciol., 50(171), 511-521. (Pubitemid 41226944)
18. Engelhardt, H. 2004. Ice temperature and high geothermal flux at Siple Dome, West Antarctica, from borehole measurements. J. Glaciol., 50(169), 251-256. (Pubitemid 40355402)
19. Gagliardini, O. and J. Meyssonnier. 1999. Analytical derivations for the behaviour and fabric evolution of a linear orthotropic ice polycrystal. J. Glaciol. Res., 104(B8), 17, 797-17, 809.
20. Gillet-Chaulet, F., O. Gagliardini, J. Meyssonnier, M. Montagnat and O. Castelnau. 2005. A user-friendly anisotropic flow law for icesheet modelling. J. Glaciol., 51(172), 3-14. (Pubitemid 41595693)
21. 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., 134(1-3), 33-43.
22. Glen, J. W. 1958. The flow law of ice: a discussion of the assumptions made in glacier theory, their experimental foundation and consequences. IASH Publ. 47(Symposium at Chamonix 1958 - Physics of the Movement of the Ice), 171-183.
23. Gödert, G. and K. Hutter. 1998. Induced anisotropy in large ice shields: theory and its homogenization. Contin. Mech. Thermodyn., 10(5), 293-318.
24. Goldsby, D. L. and D. L. Kohlstedt. 2001. Superplastic deformation of ice: experimental observations. J. Glaciol. Res., 106(B6), 11, 017-11, 030.
25. Gow, A. and T. Williamson. 1976. Rheological implications of the internal structure and crystal fabrics of the West Antarctic ice sheet as revealed by deep core drilling at Byrd Station, Geol. Soc. Am. Bull., 87(12), 1665-1677.
26. Hamilton, G. S. 2002. Mass balance and accumulation rate across Siple Dome, West Antarctica. Ann. Glaciol., 35, 102-106. (Pubitemid 36386583)
27. 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)
28. Iliescu, D. and I. Baker. 2008. Effects of impurities and their redistribution during recrystallization of ice crystals, J. Glaciol., 54(185), 362-371.
29. Jacka, T. H. and J. Li. 1994. The steady-state crystal size of deforming ice. Ann. Glaciol., 20, 13-18.
30. Jacobel, R. W., A. J. Fisher and N. M. Sundell. 1996. Internal stratigraphy from ground-based radar studies at Siple Dome summit. Antarct. J. US, 31(2), 55-56. (Pubitemid 128091117)
31. Langdon, T. G. 1996. Transitions in creep behavior. Mater. Trans., JIM, 37(3), 359-362. (Pubitemid 126778775)
32. Lipenkov, V. Ya., N. I. Barkov, P. Duval and P. Pimienta. 1989. Crystalline texture of the 2083 m ice core at Vostok Station, Antarctica. J. Glaciol., 35(121), 392-398.
33. MacGregor, J. A., D. P. Winebrenner, H. Conway, K. Matsuoka, P. A. Mayewski and G. D. Clow. 2007. Modeling englacial radar attenuation at Siple Dome, West Antarctica, using ice chemistry and temperature data. J. Glaciol. Res., 112(F3), F03008. (10.1029/2006JF000717.) (Pubitemid 350120750)
34. Mangeney, A., F. Califano and O. Castelnau. 1996. Isothermal flow of an anisotropic ice sheet in the vicinity of an ice divide. J. Geophys. Res., 101(B12), 28, 189-28, 204.
35. Martín, C., G. H. Gudmundsson, H. D. Pritchard and O. Gagliardini. 2009a. On the effects of anisotropic rheology on ice flow, internal structure, and the age-depth relationship at ice divides. J. Glaciol. Res., 114(F4), F04001. (10.1029/2008JF001204.)
36. Martín, C., R. C. A. Hindmarsh and F. J. Navarro. 2009b. On the effects of divide migration, along-ridge flow, and basal sliding on isochrones near an ice divide. J. Glaciol. Res., 114(F2), F02006. (10.1029/2008JF001025.)
37. Morland, L. W. and R. Staroszczyk. 2006. Steady radial ice-sheet flow with fabric evolution. J. Glaciol., 52(177), 267-280. (Pubitemid 44256221)
38. Morse, D. L. 1997. Glacier geophysics at Taylor Dome, Antarctica. (PhD thesis, University of Washington.)
39. Nereson, N. A. 1998. The flow history of Siple Dome and Ice Streams C and D, West Antarctica: inferences from geophysical measurements and ice flow models. (PhD thesis, University of Washington.)
40. Nereson, N. A. and C. F. Raymond. 2001. The elevation history of ice streams and the spatial accumulation pattern along the Siple Coast of West Antarctica inferred from ground-based radar data from three inter-ice-stream ridges. J. Glaciol., 47(157), 303-313. (Pubitemid 33119244)
41. Nereson, N. A. and E. D. Waddington. 2002. Isochrones and isotherms beneath migrating ice divides. J. Glaciol., 48(160), 95-108. (Pubitemid 34915784)
42. Nereson, N. A., E. D. Waddington, C. F. Raymond and H. P. Jacobson. 1996. Predicted age-depth scales for Siple Dome and inland WAIS ice cores in West Antarctica. Geophys. Res. Lett., 23(22), 3163-3166.
43. Nereson, N. A., C. F. Raymond, E. D. Waddington and R. W. Jacobel. 1998a. Migration of the Siple Dome ice divide, West Antarctica. J. Glaciol., 44(148), 643-652. (Pubitemid 29224118)
44. Nereson, N. A., R. C. A. Hindmarsh and C. F. Raymond. 1998b. Sensitivity of the divide position at Siple Dome, West Antarctica, to boundary forcing. Ann. Glaciol., 27, 207-214. (Pubitemid 29199033)
45. Nereson, N. A., C. F. Raymond, R. W. Jacobel and E. D. Waddington. 2000. The accumulation pattern across Siple Dome, West Antarctica, inferred from radar-detected internal layers. J. Glaciol., 46(152), 75-87. (Pubitemid 30400596)
46. Nye, J. F. 1953. The flow law of ice from measurements in glacier tunnels, laboratory experiments and the Jungfraufirn borehole experiment. Proc. R. Soc. London, Ser. A, 219(1139), 477-489.
47. Paterson, W. S. B. 1991. Why ice-age ice is sometimes 'soft'. Cold Reg. Sci. Technol., 20(1), 75-98.
48. Paterson, W. S. B. 1994. The physics of glaciers. Third edition. Oxford, etc., Elsevier.
49. Pettit, E. C. 2003. Unique dynamic behaviours of ice divides: Siple Dome and the rheological properties of ice. (PhD thesis, University of Washington.)
50. Pettit, E. C. and E. D. Waddington. 2003. Ice flow at low deviatoric stress. J. Glaciol., 49(166), 359-369. (Pubitemid 38473581)
51. Pettit, E. C., E. D. Waddington, N. A. Nereson, M. A. Zumberge and G. S. Hamilton. 2001. Siple Dome: is it in a steady state? [Abstr. IP21A-0662.] Eos, 82(47), Fall Meet. Suppl.
52. Pettit, E. C., H. P. Jacobson and E. D. Waddington. 2003. Effects of basal sliding on isochrones and flow near an ice divide. Ann. Glaciol., 37, 370-376. (Pubitemid 38272566)
53. 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.
54. Placidi, L., R. Greve, H. Seddik and S. H. Faria. 2010. Continuummechanical, anisotropic flow model for polar ice masses, based on an anisotropic flow enhancement factor. Contin. Mech. Thermodyn., 22(3), 221-237.
55. Price, S. F., H. Conway and E. D. Waddington. 2007. Evidence for late Pleistocene thinning of Siple Dome, West Antarctica. J. Glaciol. Res., 112(F3), F03021. (10.1029/2006JF000725.) (Pubitemid 350120761)
56. Raymond, C. F. 1983. Deformation in the vicinity of ice divides. J. Glaciol., 29(103), 357-373.
57. Raymond, C. F., N. A. Nereson, A. M. Gades, H. Conway, R. Jacobel and T. Scambos. 1995. Geometry and stratigraphy of Siple Dome, Antarctica. Antarct. J. US, 30(5), 91-93. (Pubitemid 128006159)
58. Reeh, N. 1988. A flow-line model for calculating the surface profile and the velocity, strain-rate, and stress fields in an ice sheet. J. Glaciol., 34(116), 46-54.
59. Russell-Head, D. S. and W. F. Budd. 1979. Ice-sheet flow properties derived from bore-hole shear measurements combined with icecore studies. J. Glaciol., 24(90), 117-130.
60. Sachs, G. 1928. Zur Ableitung einer Fließbedingung. Z. Ver. Deut. Ing., 72(8), 734-736.
61. Scambos, T. A. and N. A. Nereson. 1995. Satellite image and GPS study of the morphology of Siple Dome, Antarctica. Antarct. J. US, 30(5), 87-89.
62. Schøtt, C., E. D. Waddington and C. F. Raymond. 1992. Predicted time-scales for GISP2 and GRIP boreholes at Summit, Greenland. J. Glaciol., 38(128), 162-168.
63. Spencer, M. K., R. B. Alley and J. J. Fitzpatrick. 2006. Developing a bubble number-density paleoclimatic indicator for glacier ice. J. Glaciol., 52(178), 358-364. (Pubitemid 44970709)
64. Taylor, K. C. and 13 others. 2004a. Abrupt climate change around 22 ka on the Siple Coast of Antarctica. Quat. Sci. Rev., 23(1-2), 7-15. (Pubitemid 38305896)
65. Taylor, K. C. and 13 others. 2004b. Dating the Siple Dome (Antarctica) ice core by manual and computer interpretation of annual layering. J. Glaciol., 50(170), 453-461. (Pubitemid 40801366)
66. h development of fabric and effects of anisotropy on deformation. (PhD thesis, University of Washington.)
67. Thorsteinsson, T. 2001. An analytical approach to deformation of anisotropic ice-crystal aggregates. J. Glaciol., 47(158), 507-516.
68. Thorsteinsson, T., E. D. Waddington, K. C. Taylor, R. B. Alley and D. D. Blankenship. 1999. Strain-rate enhancement at Dye 3, Greenland. J. Glaciol., 45(150), 338-345.
69. Waddington, E. D., C. F. Raymond, D. L. Morse and W. D. Harrison. 1996. Flow law for ice at low deviatoric stress, and implications for ice divide and ice core studies. Eos, 77(46), F196, Fall Meet. Suppl.
70. Waddington, E. D. and 6 others. 2005. Decoding the dipstick: thickness of Siple Dome, West Antarctica, at the last glacial maximum. Geology, 33(4), 281-284. (Pubitemid 40518078)
71. Weertman, J. 1973. Creep of ice. In Whalley, E., S. J. Jones and L. W. Gold, eds. Physics and chemistry of ice. Ottawa, Ont., Royal Society of Canada, 320-337.
72. Zumberge, M. A. and 6 others. 2002. Measurement of vertical strain and velocity at Siple Dome, Antarctica, with optical sensors. J. Glaciol., 48(161), 217-225. (Pubitemid 36017337)