An extended "perfect-plasticity" method for estimating ice thickness along the flow line of mountain glaciers

Direct measurement of the thickness of mountain glaciers is difficult over large areas, yet knowledge of the thickness is essential for calculating their volumes and future evolution. We develop a new method for estimating the ice thickness along glacier flow lines, using the “perfect‐plasticity” rh...

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Veröffentlicht in:Journal of Geophysical Research: Earth Surface 2012-03, Vol.117 (F1), p.n/a
Hauptverfasser: Li, Huilin, Ng, Felix, Li, Zhongqin, Qin, Dahe, Cheng, Guodong
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container_title Journal of Geophysical Research: Earth Surface
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creator Li, Huilin
Ng, Felix
Li, Zhongqin
Qin, Dahe
Cheng, Guodong
description Direct measurement of the thickness of mountain glaciers is difficult over large areas, yet knowledge of the thickness is essential for calculating their volumes and future evolution. We develop a new method for estimating the ice thickness along glacier flow lines, using the “perfect‐plasticity” rheological assumption that relates the thickness and surface slope to a yield stress. Previous studies have used this assumption with the shallow‐ice approximation to estimate the ice thickness, but the standard approach neglects the effect of side drag on glacier stress balance. Our method addresses this shortcoming and extends the standard method by accounting for the side drag via the glacier width. Besides the assumed yield stress, the inputs for our method are the outline and surface topography of the glacier; surface velocity and mass balance data are unnecessary. We validated the extended method on five glaciers in northwest China where thickness data are available from radio echo soundings, finding that it can reproduce measured thicknesses with a mean absolute error of 11.8% (like the standard method). Moreover, for long glacier tongues confined to flow between parallel valley sides, this method is found to give more accurate thickness estimates than does the standard method, with a mean absolute error of as low as 5.3%. Sensitivity analysis shows that the estimated ice thickness depends strongly on yield stress and surface slope and less strongly on glacier width. Because this method is physically more realistic than the standard method and its inputs are easily derivable from remote‐sensing observations, it has the potential to be used for processing large glacier data sets. Key Points An extended method for estimating the ice thickness along glacier flow lines The method is physically realistic, and its inputs are easily derived Testing of method on glaciers shows its potential to be applied to large data set
doi_str_mv 10.1029/2011JF002104
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We develop a new method for estimating the ice thickness along glacier flow lines, using the “perfect‐plasticity” rheological assumption that relates the thickness and surface slope to a yield stress. Previous studies have used this assumption with the shallow‐ice approximation to estimate the ice thickness, but the standard approach neglects the effect of side drag on glacier stress balance. Our method addresses this shortcoming and extends the standard method by accounting for the side drag via the glacier width. Besides the assumed yield stress, the inputs for our method are the outline and surface topography of the glacier; surface velocity and mass balance data are unnecessary. We validated the extended method on five glaciers in northwest China where thickness data are available from radio echo soundings, finding that it can reproduce measured thicknesses with a mean absolute error of 11.8% (like the standard method). Moreover, for long glacier tongues confined to flow between parallel valley sides, this method is found to give more accurate thickness estimates than does the standard method, with a mean absolute error of as low as 5.3%. Sensitivity analysis shows that the estimated ice thickness depends strongly on yield stress and surface slope and less strongly on glacier width. Because this method is physically more realistic than the standard method and its inputs are easily derivable from remote‐sensing observations, it has the potential to be used for processing large glacier data sets. 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Geophys. Res</addtitle><description>Direct measurement of the thickness of mountain glaciers is difficult over large areas, yet knowledge of the thickness is essential for calculating their volumes and future evolution. We develop a new method for estimating the ice thickness along glacier flow lines, using the “perfect‐plasticity” rheological assumption that relates the thickness and surface slope to a yield stress. Previous studies have used this assumption with the shallow‐ice approximation to estimate the ice thickness, but the standard approach neglects the effect of side drag on glacier stress balance. Our method addresses this shortcoming and extends the standard method by accounting for the side drag via the glacier width. Besides the assumed yield stress, the inputs for our method are the outline and surface topography of the glacier; surface velocity and mass balance data are unnecessary. 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Geophys. Res</addtitle><date>2012-03</date><risdate>2012</risdate><volume>117</volume><issue>F1</issue><epage>n/a</epage><issn>0148-0227</issn><issn>2169-9003</issn><eissn>2156-2202</eissn><eissn>2169-9011</eissn><abstract>Direct measurement of the thickness of mountain glaciers is difficult over large areas, yet knowledge of the thickness is essential for calculating their volumes and future evolution. We develop a new method for estimating the ice thickness along glacier flow lines, using the “perfect‐plasticity” rheological assumption that relates the thickness and surface slope to a yield stress. Previous studies have used this assumption with the shallow‐ice approximation to estimate the ice thickness, but the standard approach neglects the effect of side drag on glacier stress balance. Our method addresses this shortcoming and extends the standard method by accounting for the side drag via the glacier width. 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source Wiley Free Content; Wiley-Blackwell AGU Digital Library; Wiley Online Library Journals Frontfile Complete; Alma/SFX Local Collection
subjects Cryosphere
Earth sciences
Earth, ocean, space
Exact sciences and technology
Glaciers
Ice
Ice thickness
ice-thickness estimation
mountain glaciers
perfect-plasticity rheology
Plasticity
Remote sensing
Sensitivity analysis
Surface velocity
Yield stress
title An extended "perfect-plasticity" method for estimating ice thickness along the flow line of mountain glaciers
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