Evolving force balance at Columbia Glacier, Alaska, during its rapid retreat

[1] Changes in driving and resistive stresses play an essential role in governing the buoyancy forces that are important controls on the speed and irreversibility of tidewater glacier retreats. We describe changes in geometry, velocity, and strain rate and present a top-down force balance analysis performed over the lower reach of Columbia Glacier. Our analysis uses new measurements and estimates of basal topography and photogrammetric surface velocity measurements made between 1977 and 2001, while assuming depth-independent strain. Sensitivity tests show that the method is robust and insensitive to small changes in the calculation parameters. Spatial distributions of ice speed show little correspondence with driving stress. Instead, spatial patterns of ice speed exhibit a nonlinear correspondence with basal drag. Primary resistance to flow comes from basal drag, but lateral drag becomes increasingly more important throughout the retreat, which may account for observed increases in speed. Maximum basal drag is always located in a prominent constriction located ∼12 km upstream from the preretreat terminus. Once the terminus retreated into deep water off the terminal moraine marking the modern maximum extent, the upstream location of this maximum basal drag helped to promote thinning and decrease effective pressure in the lower region by limiting replenishing ice flow from upstream. An increase in both ice velocity and calving resulted, initiating what appears to be an irreversible retreat.

[1]  Bernhard Rabus,et al.  Airborne surface profiling of glaciers : a case-study in Alaska , 1996 .

[2]  C. J. van der Veen,et al.  Force Budget: II. Application to Two-Dimensional Flow along Byrd Station Strain Network, Antarctica , 1989, Journal of Glaciology.

[3]  Mark F. Meier,et al.  Mechanical and hydrologic basis for the rapid motion of a large tidewater glacier. 1: Observations , 1994 .

[4]  Mark F. Meier,et al.  Photogrammetric determination of surface altitude, terminus position, and ice velocity of Columbia Glacier, Alaska , 1985 .

[5]  A. R. H. Swan,et al.  Introduction to Geological Data Analysis , 1995 .

[6]  R. Krimmel Photogrammetric Data Set, 1957-2000, and Bathymetric Measurements for Columbia Glacier, Alaska , 2001 .

[7]  A. Arendt,et al.  Rapid Wastage of Alaska Glaciers and Their Contribution to Rising Sea Level , 2002, Science.

[8]  M. Meier,et al.  Calving Speed of Alaska Tidewater Glaciers, With Application to Columbia Glacier , 1982 .

[9]  W. T. Pfeffer,et al.  Theoretical limitations to englacial velocity calculations , 1994 .

[10]  C. J. van der Veen,et al.  Fundamentals of glacier dynamics , 1999 .

[11]  Roy A. WaIters Small-amplitude, short-period variations in the speed of a tide-water glacier in south-central Alaska, U.S.A , 1989 .

[12]  A. Vieli,et al.  Tidewater glaciers: frontal flow acceleration and basal sliding , 2000, Annals of Glaciology.

[13]  Roger LeB. Hooke,et al.  Flow law for polycrystalline ice in glaciers: Comparison of theoretical predictions, laboratory data, and field measurements , 1981 .

[14]  R. Armstrong,et al.  The Physics of Glaciers , 1981 .

[15]  C. Veen,et al.  Force Budget: I. Theory and Numerical Methods , 1989, Journal of Glaciology.

[16]  W. Budd,et al.  Empirical Studies of Ice Sliding , 1979, Journal of Glaciology.

[17]  V. Veen,et al.  Patterns of calculated basal drag on ice streams B and C, Antarctica , 1993, Journal of Glaciology.

[18]  Barclay Kamb,et al.  Glacier Surge Mechanism: 1982-1983 Surge of Variegated Glacier, Alaska , 1985, Science.

[19]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[20]  A. Iken,et al.  The relationship between subglacial water pressure and velocity of Findelengletscher, Switzerland, during its advance and retreat , 1997 .

[21]  C. J. van der Veen,et al.  Force Budget: Numerical Methods and Application to Two-Dimensional Flow Along the Byrd Station Strain Network, West Antarctica (Abstract) , 1988, Annals of Glaciology.

[22]  Roman J. Motyka,et al.  Short-term variations in calving of a tidewater glacier: LeConte Glacier, Alaska, U.S.A. , 2003, Journal of Glaciology.

[23]  A. John Mallinckrodt,et al.  Data Reduction and Error Analysis for the Physical Sciences , 1993 .

[24]  Charles F. Raymond,et al.  Shear margins in glaciers and ice sheets , 1996, Journal of Glaciology.

[25]  I. Smith,et al.  A three-dimensional time-dependent model of the West Antarctic ice sheet , 1984 .

[26]  W. Haeberli,et al.  Columbia Glacier stake location, mass balance, glacier surface altitude, and ice radar data, 1978 measurement year , 1979 .

[27]  Jacek Jania,et al.  The retreat of a tidewater glacier: observations and model calculations on Hansbreen, Spitsbergen , 2002, Journal of Glaciology.

[28]  R. Bindschadler,et al.  Force balance along an inland tributary and onset to Ice Stream D, West Antarctica , 2002, Journal of Glaciology.

[29]  Martin Funk,et al.  Flow dynamics of tidewater glaciers: a numerical modelling approach , 2001, Journal of Glaciology.

[30]  Mark F. Meier,et al.  Fast tidewater glaciers , 1987 .

[31]  P. E. Calkin,et al.  Holocene coastal glaciation of Alaska , 2001 .

[32]  R. Bindschadler The importance of pressurized subglacial water in separation and sliding at the glacier bed , 1983 .

[33]  W. Sikonia Finite element glacier dynamics model applied to Columbia Glacier, Alaska , 1982 .

[34]  Barclay Kamb,et al.  Stress-Gradient Coupling in Glacier Flow: I. Longitudinal Averaging of the Influence of Ice Thickness and Surface Slope , 1986, Journal of Glaciology.