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 |
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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 |
format | Article |
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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</description><identifier>ISSN: 0148-0227</identifier><identifier>ISSN: 2169-9003</identifier><identifier>EISSN: 2156-2202</identifier><identifier>EISSN: 2169-9011</identifier><identifier>DOI: 10.1029/2011JF002104</identifier><language>eng</language><publisher>Washington, DC: Blackwell Publishing Ltd</publisher><subject>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</subject><ispartof>Journal of Geophysical Research: Earth Surface, 2012-03, Vol.117 (F1), p.n/a</ispartof><rights>Copyright 2012 by the American Geophysical Union</rights><rights>2015 INIST-CNRS</rights><rights>Copyright American Geophysical Union 2012</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c4988-a8479f9a559533fa65e7b70069c8e08766b0ab5cb5f56897ca9985716fac24483</citedby><cites>FETCH-LOGICAL-c4988-a8479f9a559533fa65e7b70069c8e08766b0ab5cb5f56897ca9985716fac24483</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1029%2F2011JF002104$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1029%2F2011JF002104$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,1427,11493,27901,27902,45550,45551,46384,46443,46808,46867</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=25974236$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Li, Huilin</creatorcontrib><creatorcontrib>Ng, Felix</creatorcontrib><creatorcontrib>Li, Zhongqin</creatorcontrib><creatorcontrib>Qin, Dahe</creatorcontrib><creatorcontrib>Cheng, Guodong</creatorcontrib><title>An extended "perfect-plasticity" method for estimating ice thickness along the flow line of mountain glaciers</title><title>Journal of Geophysical Research: Earth Surface</title><addtitle>J. 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. 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</description><subject>Cryosphere</subject><subject>Earth sciences</subject><subject>Earth, ocean, space</subject><subject>Exact sciences and technology</subject><subject>Glaciers</subject><subject>Ice</subject><subject>Ice thickness</subject><subject>ice-thickness estimation</subject><subject>mountain glaciers</subject><subject>perfect-plasticity rheology</subject><subject>Plasticity</subject><subject>Remote sensing</subject><subject>Sensitivity analysis</subject><subject>Surface velocity</subject><subject>Yield stress</subject><issn>0148-0227</issn><issn>2169-9003</issn><issn>2156-2202</issn><issn>2169-9011</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>BENPR</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp9kVuLUzEUhQ-iYBnnzR8QKoIPHk1ycn0cBlstZcTi5TGkaTLNTE5Sk5SZ_ntTOgwiOPtlw-Zbi8XaXfcawQ8IYvkRQ4QWMwgxguRZN8GIsh5jiJ93E4iI6CHG_GV3XsoNbEMoIxBNuvEiAntfbdzYDZjubHbW1H4XdKne-HqYgtHWbdoAlzKw7Tjq6uM18MaCuvXmNtpSgA6p3erWAhfSHQg-WpAcGNM-Vu0juA7aeJvLq-6F06HY84d91v2Yffp--blffp1_ubxY9oZIIXotCJdOakolHQanGbV8zSFk0ggLBWdsDfWamjV1lAnJjZZSUI6Y0wYTIoaz7t3Jd5fT732LrUZfjA1BR5v2RbXCCGODxLih03_Qm7TPsaVTkg0cYiHgkxBmkDNJj9Cb_0GIYyQlHKhs1PsTZXIqJVundrmVmg8t1DGXVH8_suFvH0x1MTq4rKPx5VGDqeQED6xx6MTd-WAPT3qqxXw1E_LYUn_S-FLt_aNG51vF-MCp-nU1V9-Wq-Vq8XOuroY_AsK3sg</recordid><startdate>201203</startdate><enddate>201203</enddate><creator>Li, Huilin</creator><creator>Ng, Felix</creator><creator>Li, Zhongqin</creator><creator>Qin, Dahe</creator><creator>Cheng, Guodong</creator><general>Blackwell Publishing Ltd</general><general>American Geophysical Union</general><scope>BSCLL</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7ST</scope><scope>7TG</scope><scope>7UA</scope><scope>7XB</scope><scope>88I</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AEUYN</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>ATCPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>C1K</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>F1W</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>H8D</scope><scope>H96</scope><scope>HCIFZ</scope><scope>KL.</scope><scope>KR7</scope><scope>L.G</scope><scope>L6V</scope><scope>L7M</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PATMY</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>PYCSY</scope><scope>Q9U</scope><scope>SOI</scope></search><sort><creationdate>201203</creationdate><title>An extended "perfect-plasticity" method for estimating ice thickness along the flow line of mountain glaciers</title><author>Li, Huilin ; Ng, Felix ; Li, Zhongqin ; Qin, Dahe ; Cheng, Guodong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4988-a8479f9a559533fa65e7b70069c8e08766b0ab5cb5f56897ca9985716fac24483</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Cryosphere</topic><topic>Earth sciences</topic><topic>Earth, ocean, space</topic><topic>Exact sciences and technology</topic><topic>Glaciers</topic><topic>Ice</topic><topic>Ice thickness</topic><topic>ice-thickness estimation</topic><topic>mountain glaciers</topic><topic>perfect-plasticity rheology</topic><topic>Plasticity</topic><topic>Remote sensing</topic><topic>Sensitivity analysis</topic><topic>Surface velocity</topic><topic>Yield stress</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Li, Huilin</creatorcontrib><creatorcontrib>Ng, Felix</creatorcontrib><creatorcontrib>Li, Zhongqin</creatorcontrib><creatorcontrib>Qin, Dahe</creatorcontrib><creatorcontrib>Cheng, Guodong</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Environment Abstracts</collection><collection>Meteorological & Geoastrophysical Abstracts</collection><collection>Water Resources Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest One Sustainability</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>Agricultural & Environmental Science Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>Aerospace Database</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>SciTech Premium Collection</collection><collection>Meteorological & Geoastrophysical Abstracts - Academic</collection><collection>Civil Engineering Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Environmental Science Database</collection><collection>Earth, Atmospheric & Aquatic Science Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>Environmental Science Collection</collection><collection>ProQuest Central Basic</collection><collection>Environment Abstracts</collection><jtitle>Journal of Geophysical Research: Earth Surface</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Li, Huilin</au><au>Ng, Felix</au><au>Li, Zhongqin</au><au>Qin, Dahe</au><au>Cheng, Guodong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An extended "perfect-plasticity" method for estimating ice thickness along the flow line of mountain glaciers</atitle><jtitle>Journal of Geophysical Research: Earth Surface</jtitle><addtitle>J. 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. 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</abstract><cop>Washington, DC</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1029/2011JF002104</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record> |
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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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