Calculating balance velocities with a membrane stress correction

Journal of Glaciology

Volumn 60, Issue 220, 2014, Pages 294-304

  Williams, C Rosie ^a   Hindmarsh, Richard C A ^a   Arthern, Robert J ^a  

^a BRITISH ANTARCTIC SURVEY   (United Kingdom)

Author keywords

Antarctic glaciology; Ice dynamics; Ice sheet modelling

Indexed keywords

ACCUMULATION RATE; ACCURACY ASSESSMENT; ALTIMETRY; FLOW VELOCITY; GLACIER DYNAMICS; GLACIER MASS BALANCE; GLACIOLOGY; ICE SHEET; MODELING; NUMERICAL MODEL; RHEOLOGY;

ANTARCTIC ICE SHEET; ANTARCTICA;

EID: 84903133852     PISSN: 00221430     EISSN: None     Source Type: Journal    
DOI: 10.3189/2014JoG13J092     Document Type: Article

References (39)

1. Arthern RJ and Gudmundsson GH (2010) Initialization of ice-sheet forecasts viewed as an inverse Robin problem. J. Glaciol., 56(197), 527-533 (doi: 10.3189/002214310792447699)
2. Arthern RJ and Hindmarsh RCA (2003) Optimal estimation of changes in the mass of ice sheets. J. Geophys. Res., 108(F1), 6007 (doi: 10.1029/2003JF000021)
3. Arthern RJ, Winebrenner DP and Vaughan DG (2006) Antarctic snow accumulation mapped using polarization of 4.3 cm wavelength microwave emission. J. Geophys. Res., 111(D6), D06107 (doi: 10.1029/2004JD005667)
4. Bamber JL, Vaughan DG and Joughin I (2000a) Widespread complex flow in the interior of the Antarctic ice sheet. Science, 287(5456), 1248-1250 (doi: 10.1126/science.287.5456.1248) (Pubitemid 30112143)
5. Bamber JL, Hardy RJ and Joughin I (2000b) An analysis of balance velocities over the Greenland ice sheet and comparison with synthetic aperture radar interferometry. J. Glaciol., 46(152), 67-74 (doi: 10.3189/ 172756500781833412) (Pubitemid 30400595)
6. Barrand NE and 11 others (2013) Computing the volume response of the Antarctic Peninsula ice sheet to warming scenarios to 2200. J. Glaciol., 59(215), 397-409 (doi: 10.3189/2013JoG12J139)
7. Bingham RG, Siegert MJ, Young DA and Blankenship DD (2007) Organized flow from the South Pole to the Filchner-Ronne ice shelf: An assessment of balance velocities in interior East Antarctica using radio echo sounding data. J. Geophys. Res., 112(F03), F03S26 (doi: 10.1029/2006JF000556)
8. Budd WF and Warner RC (1996) A computer scheme for rapid calculations of balance-flux distributions. Ann. Glaciol., 23, 21-27
9. Comiso JC (2000) Variability and trends in Antarctic surface temperatures from in situ and satellite infrared measurements. J. Climate, 13(10), 1674-1696 (doi: 10.1175/1520-0442 (2000)013<1674:VATIAS>2.0.CO;2)
10. Cuffey KM and Paterson WSB (2010) The physics of glaciers, 4th edn. Butterworth-Heinemann, Oxford
11. Fretwell P and 59 others (2013) Bedmap2: improved ice bed, surface and thickness datasets for Antarctica. Cryosphere, 7(1), 375-393 (doi: 10.5194/tc-7-375-2013)
12. Fricker HA, Warner RC and Allison I (2000) Mass balance of the Lambert Glacier-Amery Ice Shelf system, East Antarctica: A comparison of computed balance fluxes and measured fluxes. J. Glaciol., 46(155), 561-570 (doi: 10.3189/172756500781832765)
13. Gillet-Chaulet F and 8 others (2012) Greenland Ice Sheet contribution to sea-level rise from a new-generation ice-sheet model. Cryosphere, 6(4), 1561-1576 (doi: 10.5194/tc-6-1561-2012)
14. Gudmundsson GH and Raymond M (2008) On the limit to resolution and information on basal properties obtainable from surface data on ice streams. Cryosphere, 2(2), 167-178 (doi: 10.5194/tc-2-167-2008)
15. Hindmarsh RCA (1997) Use of ice-sheet normal modes for initialization and modelling small changes. Ann. Glaciol., 25, 85-95
16. Hindmarsh RCA (2004) A numerical comparison of approximations to the Stokes equations used in ice sheet and glacier modeling. J. Geophys. Res., 109(F1), F01012 (doi: 10.1029/2003JF000065)
17. Hindmarsh RCA (2006a) The role of membrane-like stresses in determining the stability and sensitivity of the Antarctic Ice Sheets: back pressure and grounding line motion. Philos. Trans. R. Soc. London, Ser. A, 364(1844), 1733-1767 (doi: 10.1098/ rsta.2006.1797)
18. Hindmarsh RCA (2006b) Stress gradient damping of thermoviscous ice flow instabilities. J. Geophys. Res., 111(B12), B12409 (doi: 10.1029/2005JB004019)
19. Hindmarsh RCA (2009) Consistent generation of ice-streams via thermo-viscous instabilities modulated by membrane stresses. Geophys. Res. Lett., 36(6), L06502 (doi: 10.1029/2008GL036877)
20. Hindmarsh RCA and Payne AJ (1996) Time-step limits for stable solutions of the ice-sheet equation. Ann. Glaciol., 23, 74-85
21. Huybrechts P, Steinhage D, Wilhelms F and Bamber J (2000) Balance velocities and measured properties of the Antarctic ice sheet from a new compilation of gridded data for modelling. Ann. Glaciol., 30, 52-60 (doi: 10.3189/172756400781820778)
22. Joughin I, Fahnestock M, Ekholm S and Kwok R (1997) Balance velocities of the Greenland ice sheet. Geophys. Res. Lett., 24(23), 3045-3048 (doi: 10.1029/97GL53151)
23. Kamb B and Echelmeyer KA (1986) Stress-gradient coupling in glacier flow: I. Longitudinal averaging of the influence of ice thickness and surface slope. J. Glaciol., 32(111), 267-284
24. Le Brocq AM, Payne AJ and Siegert MJ (2006) West Antarctic balance calculations: impact of flux-routing algorithm, smoothing algorithm and topography. Comput. Geosci., 32 (10), 1780-1795 (doi: 10.1016/j.cageo.2006.05. 003) (Pubitemid 44283629)
25. Le Brocq AM, Payne AJ and Vieli A (2010) An improved Antarctic dataset for high resolution numerical ice sheet models (ALBMAP v1). Earth Syst. Sci. Data, 2(2), 247-260 (doi: 10.5194/essdd-3-195-2010)
26. Le Meur E, Gagliardini O, Zwinger T and Ruokolainen J (2004) Glacier flow modelling: A comparison of the Shallow Ice Approximation and the full-Stokes solution. C. R. Phys., 5(7), 709-722 (doi: 10.1016/j.crhy.2004.10.001) (Pubitemid 39546555)
27. Leysinger Vieli GJMC, Hindmarsh RCA, Siegert MJ and Bo S (2011) Time-dependence of the spatial pattern of accumulation rate in East Antarctica deduced from isochronic radar layers using a 3- D numerical ice flow model. J. Geophys. Res., 116(F2), F02018 (doi: 10.1029/2010JF001785)
28. MacAyeal DR (1989) Large-scale ice flow over a viscous basal sediment: theory and application to Ice Stream B, Antarctica. J. Geophys. Res., 94(B4), 4071-4087 (doi: 10.1029/JB094iB04p04071)
29. MacAyeal DR (1992) The basal stress distribution of Ice Stream E, Antarctica, inferred by control methods. J. Geophys. Res., 97(B1), 595-603 (doi: 10.1029/91JB02454)
30. MacAyeal DR (1993) A tutorial on the use of control methods in ice-sheet modeling. J. Glaciol., 39(131), 91-98
31. Muszynski I and Birchfield GE (1987) A coupled marine icestream- ice-shelf model. J. Glaciol., 33(113), 3-15
32. Pollard D and DeConto RM (2012) A simple inverse method for the distribution of basal sliding coefficients under ice sheets, applied to Antarctica. Cryosphere, 6(5), 953-971 (doi: 10.5194/tc-6-953-2012)
33. Raymond MJ and Gudmundsson GH (2009) Estimating basal properties of ice streams from surface measurements: A nonlinear Bayesian inverse approach applied to synthetic data. Cryosphere, 3(2), 265-278 (doi: 10.5194/tc-3-265-2009)
34. Rignot E, Mouginot J and Scheuchl B (2011) Ice flow of the Antarctic Ice Sheet. Science, 333(6048), 1427-1430 (doi: 10.1126/science.1208336)
35. Schoof C (2007) Ice sheet grounding line dynamics: steady states, stability, and hysteresis. J. Geophys. Res., 112(F3), F03S28 (doi: 10.1029/2006JF000664)
36. Testut L, Hurd R, Coleman R, Rémy F and Legrésy B (2003) Comparison between computed balance velocities and GPS measurements in the Lambert Glacier basin, East Antarctica. Ann. Glaciol., 37, 337-343 (doi: 10.3189/172756403781815672) (Pubitemid 38272561)
37. Van den Berg J, Van de Wal RSW and Oerlemans J (2006) Effects of spatial discretization in ice-sheet modelling using the shallow-ice approximation. J. Glaciol., 52(176), 89-98 (doi: 10.3189/172756506781828935)
38. Williams CR, Hindmarsh RCA and Arthern RJ (2012) Frequency response of ice streams. Proc. R. Soc. London, Ser. A, 468(2147), 3285-3310 (doi: 10.1098/rspa.2012.0180)
39. Wu X and Jezek KC (2004) Antarctic ice-sheet balance velocities from merged point and vector data. J. Glaciol., 50(169), 219-230 (doi: 10.3189/172756504781830042) (Pubitemid 40355398)