An improved method based on shallow ice approximation to calculate ice thickness along flow-line and volume of mountain glaciers

Huilin Li , Zhongqin Li , Mingjun Zhang , Wenfeng Li

Journal of Earth Science ›› 2011, Vol. 22 ›› Issue (4) : 441 -448.

PDF
Journal of Earth Science ›› 2011, Vol. 22 ›› Issue (4) : 441 -448. DOI: 10.1007/s12583-011-0198-1
Article

An improved method based on shallow ice approximation to calculate ice thickness along flow-line and volume of mountain glaciers

Author information +
History +
PDF

Abstract

To evaluate the water storage and project the future evolution of glaciers, the ice-thickness of glaciers is an essential input. However, direct measurements of ice thickness are laborious, not feasible everywhere, and necessarily restricted to a small number of glaciers. In this article, we develop a simple method to estimate the ice-thickness along flow-line of mountain glaciers. Different from the traditional method based on shallow ice approximation (SIA), which gives a relationship between ice thickness, surface slope, and yield stress of glaciers, the improved method considers and presents a simple way to calibrate the influence of valley wall on ice discharge. The required inputs are the glacier surface topography and outlines. This shows the potential of the method for estimating the ice-thickness distribution and volume of glaciers without using of direct thickness measurements.

Keywords

improved method / shallow ice approximation / ice thickness calculation / glacier volume calculation / mountain glacier

Cite this article

Download citation ▾
Huilin Li, Zhongqin Li, Mingjun Zhang, Wenfeng Li. An improved method based on shallow ice approximation to calculate ice thickness along flow-line and volume of mountain glaciers. Journal of Earth Science, 2011, 22(4): 441-448 DOI:10.1007/s12583-011-0198-1

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Aðalgeirsdóttir G., Jóhannesson T., Björnsson H., . Response of Hofsjökull and Southern Vatnajökull, Iceland, to Climate Change. Journal of Geophysical Research, 2006, 111 F3 F03001

[2]

Aniya M., Welch R.. Morphological Analyses of Glacial Valleys and Estimates of Sediment Thickness on the Valley Floor: Victoria Valley System, Antarctica. Antarctic Record, 1981, 71: 76-95.

[3]

Arendt A., Echelmeyer K., Harrison W., . Updated Estimates of Glacier Volume Changes in the Western Chugach Mountains, Alaska, and a Comparison of Regional Extrapolation Methods. Journal of Geophysical Research, 2006, 111 F3 F03019

[4]

Bahr D. B., Meier M. F., Peckham S. D.. The Physical Basis of Glacier Volume-Area Scaling. Journal of Geophysical Research, 1997, 102(B9): 20355-20362.

[5]

Beget J.. Low Profile of the Northwest Laurentide Ice Sheet. Arctic and Alpine Research, 1987, 19(1): 81-88.

[6]

Björnsson, H., Aðalgeirsdóttir, G., Guðmundsson, S., et al., 2006. Climate Change Response of Vatnajökull, Hofsjökull and Langjökull Ice Caps, Iceland. In: European Conference on Impacts of Climate Change on Renewable Energy Sources. Reykjavik June 5–9, Iceland

[7]

Budd W. F.. The Dynamics of Ice Masses. Australian National Antarctic Research Expeditions, ANARE Scientific Reports, Series A, 1969, 108 216

[8]

Chen J. Y., Ohmura A.. Estimation of Alpine Glacier Water Resources and Their Change since the 1870s. Hydrology in Mountainous Regions, 1990, 193: 127-135.

[9]

Doornkamp J. C., King C. A. M.. Numerical Analysis in Geomorphology: An Introduction, 1971, London: Edward Arnold

[10]

Driedger C. L., Kennard P. M.. Glacier Volume Estimation on Cascade Volcanoes: An Analysis and Comparison with Other Methods. Annals of Glaciology, 1986, 8: 59-64.

[11]

Gerrard J. A. F., Perutz M. F., Roch A.. Measurement of the Velocity Distribution along a Vertical Line through a Glacier. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1952, 213(1115): 546-558.

[12]

Graf W. L.. The Geomorphology of the Glacial Valley Cross Section. Arctic and Alpine Research, 1970, 2(4): 303-312.

[13]

Haeberli W., Hoelzle M.. Application of Inventory Data for Estimating Characteristics of and Regional Climate-Change Effects on Mountain Glaciers: A Pilot Study with the European Alps. Annals of Glaciology, 1995, 21: 206-212.

[14]

Harbor J. M.. A Discussion of Hirano and Aniya’s (1988, 1989) Explanation of Glacial-Valley Cross Profile Development. Earth Surface Processes and Landforms, 1990, 15(4): 369-377.

[15]

Harbor J. M., Wheeler D. A.. On the Mathematical Description of Glaciated Valley Cross Sections. Earth Surface Processes and Landforms, 1992, 17(5): 477-485.

[16]

Hirano M., Aniya M.. A Rational Explanation of Cross-Profile Morphology for Glacial Valleys and of Glacial Valley Development. Earth Surface Processes and Landforms, 1988, 13(8): 707-716.

[17]

Hubbard A., Blatter H., Nienow P., . Comparison of a Three-Dimensional Model for Glacier Flow with Field Data from Haut Glacier d’Arolla, Switzerland. Journal of Glaciology, 1998, 44(147): 368-378.

[18]

Huss M., Farinotti D., Bauder A., . Modelling Runoff from Highly Glacierized Alpine Drainage Basins in a Changing Climate. Hydrological Processes, 2008, 22(19): 3888-3902.

[19]

Huybrechts P., De Wolde J.. The Dynamic Response of the Greenland and Antarctic Ice Sheets to Multiple-Century Climatic Warming. Journal of Climate, 1999, 12(8): 2169-2188.

[20]

Huybrechts P., Nooze P. D., Decleir H.. Oerlemans J.. Numerical Modeling of Glacier d’Argentiere and Its Historic Front Variations. Glacier Fluctuations and Climate Change, 1989, Dordrecht: Kluwer Academic Publishers 373 389

[21]

Li Y. K., Liu G. N., Cui Z. J.. Glacial Valley Cross-Profile Morphology, Tian Shan Mountains, China. Geomorphology, 2001, 38(1–2): 153-166.

[22]

Li Y. K., Liu G. N., Cui Z. J.. Longitudinal Variations in Cross-Section Morphology along a Glacial Valley: A Case-Study from the Tienshan, China. Journal of Glaciology, 2001, 47(157): 243-250.

[23]

Li Z. Q., Li K. M., Wang L.. Study on Recent Glacier Changes and Their Impact on Water Resources in Xinjiang, North Western China. Quaternary Sciences, 2010, 30(1): 96-106.

[24]

Mayer C., Siegert M. J.. Numerical Modelling of Ice-Sheet Dynamics across the Vostok Subglacial Lake, Central East Antarctica. Journal of Glaciology, 2000, 46(153): 197-205.

[25]

Nye J. F.. The Mechanics of Glacier Flow. Journal of Glaciology, 1952, 2(12): 82-93.

[26]

Nye J. F.. The Flow of a Glacier in a Channel of Rectangular, Elliptic or Parabolic Cross-Section. Journal of Glaciology, 1964, 5(41): 661-690.

[27]

Oerlemans J.. Climate Sensitivity of Franz Josef Glacier, New Zealand: As Revealed by Numerical Modeling. Arctic and Alpine Research, 1997, 29(2): 233-239.

[28]

Oerlemans J.. Minimal Glacier Models, 2008, Utrecht: Utrecht Publishing & Archiving Services

[29]

Oerlemans J., Anderson B., Hubbard A., . Modelling the Response of Glaciers to Climate Warming. Climate Dynamics, 1998, 14(4): 267-274.

[30]

Paterson W. S. B.. The Application of Ice Physics to Glacier Studies. Glaciers. Secr. Can. Natl. Comm. Int. Hydrol, 1970, Ottawa: Decade 43 46

[31]

Paterson W. S. B.. The Sliding Velocity of Athabasca Glacier, Canada. Journal of Glaciology, 1970, 9(55): 55-63.

[32]

Paterson W. S. B.. The Physics of Glaciers, 1994 3rd ed. Oxford: Pergamon Press

[33]

Paul F., Svoboda F.. A New Glacier Inventory on Southern Baffin Island, Canada, from ASTER Data, II. Data Analysis, Glacier Change and Applications. Annals of Glaciology, 2009, 50(53): 22-31.

[34]

Radic V., Hock R.. Regional and Global Volumes of Glaciers Derived from Statistical Upscaling of Glacier Inventory Data. Journal of Geophysical Research, 2010, 115 F01010

[35]

Raymond M. J., Gudmundsson G. H.. Estimating Basal Properties of Ice Streams from Surface Measurements: A Non-Linear Bayesian Inverse Approach Applied to Synthetic Data. Cryosphere, 2009, 3(2): 265-278.

[36]

Reeh N.. A Plasticity Theory Approach to the Steady-State Shape of a Three-Dimensional Ice Sheet. Journal of Glaciology, 1982, 28(100): 431-455.

[37]

Shi Y. F., Huang M. H., Yao T. D., . Glaciers and Related Environments in China, 2008, Beijing: Science Press 1 539

[38]

Shi Y. F., Liu C. H., Kang E. S.. The Glacier Inventory of China. Annals of Glaciology, 2009, 50(53): 1-4.

[39]

Svensson H.. Is the Cross-Section of a Glacial Valley a Parabola?. Journal of Glaciology, 1959, 3(25): 362-363.

[40]

Thorsteinsson T., Raymond C. F., Gudmundsson G. H., . Bed Topography and Lubrication Inferred from Surface Measurements on Fast-Flowing Ice Streams. Journal of Glaciology, 2003, 49(167): 481-490.

AI Summary AI Mindmap
PDF

189

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/