Abstract
Changes in velocity and temperature of ice are the internal driving factors accelerating glacial regression under the condition of climatic warming. To evaluate glacial response to climate from the perspective of the internal driving forces of glaciers, we used a two-dimensional force balance and energy balance model to simulate the ice velocity and temperature of the No. 8 glacier (H8) in Tianshan Mountains, China. We analyzed the influence of dynamic characteristics caused by climatic warming on glacial changes. The simulation results of ice velocity showed: when the atmospheric temperature changed by 2 °C, the maximum velocity increased from 9 to 20 ma−1, and the total average ice velocity increased from − 9.2 to − 6.9 °C. Apparently, climatic warming could lead to an increase in ice flux. In addition, to analyze the effect of velocity increment on glacial changes, we set the difference mass balance to simulate the glacier change in the future. And the results showed that climatic warming would increase the glacial area in terminus in a short period of time and weaken the ice reserves at upstream. Under the condition of continuous climatic warming, it would accelerate the loss of glacial area and ice reserves.
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References
Adhikari S, Marshall SJ (2011) Improvements to shear-deformational models of glacier dynamics through a longitudinal stress factor. J Glaciol 57:1003–1016. https://doi.org/10.3189/002214311798843449
Aiwen X, Taibao Y, Qin J, Yi H (2016) Monitoring recent surgeing on the northern slope glacier of Qogir through remote sensing. J Lanzhou Uni Nat Sci 52:145–152. https://doi.org/10.12885/j.issn.0455-2059
Aizen VB, Kuzmichenok VA, Surazakov AB, Aizen EM (2006) Glacier changes in the central and northern Tien Shan during the last 140 years based on surface and remote-sensing data. Ann Glaciol 43:202–213. https://doi.org/10.3189/172756406781812465
Aizen VB, Kuzmichenok VA, Surazakov AB, Aizen EM (2007) Glacier changes in the Tien Shan as determined from topographic and remotely sensed data. Global Planet Change 56:328–340. https://doi.org/10.1016/j.gloplacha.2006.07.016
Åkesson H, Nisancioglu KH, Giesen RH, Morlighem M (2017) Simulating the evolution of Hardangerjøkulen ice cap in southern Norway since the mid-Holocene and its sensitivity to climate change. Cryosphere 11:281–302. https://doi.org/10.5194/tc-11-281-2017
Andrés ED, Otero J, Navarro F, Promińska A, Walczowski W (2018) A two-dimensional glacier–fjord coupled model applied to estimate submarine melt rates and front position changes of Hansbreen. Svalbard J Glaciol 64:1–14. https://doi.org/10.1017/jog.2018.61
Braithwaite R, Raper S (2010) Estimating equilibrium-line altitude (ELA) from glacier inventory data. Ann Glaciol 50:127–132. https://doi.org/10.3189/172756410790595930
Burgess EW, Forster RR, Larsen CF (2013) Flow velocities of Alaskan glaciers. Nat Commun 4:2146–2146. https://doi.org/10.1038/ncomms3146
Cheng X, Gong P, Zhang Y, Sun Z, Wei F (2009) Surface topography of Dome A, Antarctica, from differential GPS measurements. J Glaciol 55:185–187. https://doi.org/10.3189/002214309788608868
Cogley JG (2011) Present and future states of Himalaya and Karakoram glaciers. Ann Glaciol 52:69–73. https://doi.org/10.3189/172756411799096277
Cuffey KM, Paterson WSB (2010) The physics of glaciers. Elsevier,
Ding Y, Liu S, Li J, Shangguan D (2006) The retreat of glaciers in response to recent climate warming in western China. Ann Glaciol 43:97–105. https://doi.org/10.3189/172756406781812005
Dongen ECHV et al (2018) Dynamically coupling Full Stokes and Shallow Shelf Approximation for marine ice sheet flow using Elmer/Ice (v8.3). Geosci Model Dev. https://doi.org/10.5194/gmd-11-4563-2018
Donghui S et al (2007) Glacier changes in the west Kunlun Shan from 1970 to 2001 derived from Landsat TM/ETM+ and Chinese glacier inventory data. Ann Glaciol 46:204–208. https://doi.org/10.3189/172756407782871693
Fischer A, Olefs M, Abermann J (2011) Glaciers, snow and ski tourism in Austria's changing climate. Ann Glaciol 52:89–96. https://doi.org/10.3189/172756411797252338
Griggs J, Bamber J (2011) Antarctic ice-shelf thickness from satellite radar altimetry. J Glaciol 57:485–498. https://doi.org/10.3189/002214311796905659
Hodgkins R, Fox A, Nuttall AM (2007) Geometry change between 1990 and 2003 at Finsterwalderbreen, a Svalbard surge-type glacier, from GPS profiling. Ann Glaciol 46:131–135. https://doi.org/10.3189/172756407782871189
Hoelzle M, Haeberli W, Dischl M, Peschke W (2003) Secular glacier mass balances derived from cumulative glacier length changes. Global Planet Change 36:295–306. https://doi.org/10.1016/s0921-8181(02)00223-0
Hu X, Li N (1989) A stochastic meltwater runoff model of Heigou glacier no. 8 in the Southern Slope of Mt Bogda. J Glaciol Geocryol 21:91–98
Huang L, Li Z, Tian BS, Chen Q, Liu JL, Zhang R (2011) Classification and snow line detection for glacial areas using the polarimetric SAR image. Remote Sens Environ. https://doi.org/10.1016/j.rse.2011.03.004
Irving JD, Knight RJ (2006) Numerical simulation of antenna transmission and reception for crosshole ground-penetrating radar. Geophysics 71:K37. https://doi.org/10.1190/1.2187768
Jiang G, Gao P, Rao S, Zhang L (2016) Compilation of heat flow in the continental area of China. Chin J Geophys 59:2892–2910. https://doi.org/10.6038/cjg20160815
Joughin I, Das SB, King MA, Smith BE, Howat IM, Moon T (2008) Seasonal speedup along the western flank of the Greenland Ice Sheet. Science 320:781–783. https://doi.org/10.1126/science.1153288
Khromova T, Nosenko G, Nikitin S, Muraviev A, Popova V, Chernova L, Kidyaeva V (2019) Changes in the mountain glaciers of continental Russia during the twentieth to twenty-first centuries. Reg Environ Change 2019:1–19. https://doi.org/10.1007/s10113-018-1446-z)
Kirchner N et al (2016) Shallow ice approximation, second order shallow ice approximation, and full Stokes models: a discussion of their roles in palaeo-ice sheet modelling and development. Quat Sci Rev 135:103–114. https://doi.org/10.1016/j.quascirev.2016.01.032
Kutuzov S, Shahgedanova M (2009) Glacier retreat and climatic variability in the eastern Terskey-Alatoo, inner Tien Shan between the middle of the 19th century and beginning of the 21st century. Global Planet Change 69:59–70. https://doi.org/10.1016/j.gloplacha.2009.07.001
Li Z et al (2010) Changes of the Hailuogou glacier, Mt Gongga, China, against the background of climate change during the Holocene. Quat Int 218:166–175. https://doi.org/10.1016/j.quaint.2008.09.005
Li K, Li Z, Wang C, Huai B (2016) Shrinkage of Mt. Bogda Glaciers of Eastern Tian Shan in Central Asia during 1962–2006. J Earth Sci 27:139–150. https://doi.org/10.1007/s12583-016-0614-7
Liu S, Xie Z, Wang N, Ye B (1999) Mass balance sensitivity to climate change: a case study of glacier No. 1 at urumqi riverhead Tianshan Mountains, China. Chin Geogr Sci 9:134–140. https://doi.org/10.1007/bf02791363
Liu Q, Liu S (2015) Response of glacier mass balance to climate change in the Tianshan Mountains during the second half of the twentieth century. Clim Dyn 46:1–14. https://doi.org/10.1007/s00382-015-2585-2
Macheret YY, Otero J, Navarro F, Vasilenko E, Corcuera M, Cuadrado M, Glazovsky A (2009) Ice thickness, internal structure and subglacial topography of Bowles Plateau ice cap and the main ice divides of Livingston Island Antarctica, by ground-based radio-echo sounding. Ann Glaciol 50:49–56. https://doi.org/10.3189/172756409789097478
Minchew B et al (2016) Plastic bed beneath Hofsjökull Ice Cap, central Iceland, and the sensitivity of ice flow to surface meltwater flux. J Glaciol 1:1–12. https://doi.org/10.13140/RG.2.1.3571.1442
Minchew B, Simons M, Hensley S, Björnsson H, Pálsson F (2015) Early melt season velocity fields of Langjökull and Hofsjökull, central Iceland. J Glaciol 61:253–266. https://doi.org/10.3189/2015JoG14J023
Morland LW, Staroszczyk R (2009) Ice viscosity enhancement in simple shear and uni-axial compression due to crystal rotation. Int J Eng Sci 47:1297–1304. https://doi.org/10.1016/j.ijengsci.2008.09.011
Naslund JO, Jansson P, Fastook JL, Johnson J, Andersson L (2005) Detailed spatially distributed geothermal heat-flow data for modeling of basal temperatures and meltwater production beneath the Fennoscandian ice sheet. Ann Glaciol 40:95–101. https://doi.org/10.3189/172756405781813582
Nye J (1957) The distribution of stress and velocity in glaciers and ice-sheets. Proc R Soc Lond A 239:113–133. https://doi.org/10.1098/rspa.1957.0026
Osmanoglu B, Navarro FJ, Hock R, Braun M, Corcuera MI (2014) Surface velocity and mass balance of Livingston Island ice cap, Antarctica. Cryosphere 8:1807–1823. https://doi.org/10.5194/tc-8-1807-2014
Pimentel S et al (2017) Modelling intra-annual dynamics of a major marine-terminating Arctic glacier. Ann Glaciol. https://doi.org/10.1017/aog.2017.23
Purdie HL, Brook MS, Fuller IC (2002) Seasonal variation in ablation and surface velocity on a temperate maritime glacier: fox glacier New Zealand. Arct Antarct Alp Res 40:140–147. https://doi.org/10.2307/20181774
Puyu W, Zhongqin L, Huilin L, Wenbin W, Feiteng W (2011) Ice Surface-Elevation Change and Velocity of Qingbingtan Glacier No.72 in the Tomor Region Tianshan Mountains, Central Asia. J Mt Sci 8:855–864. https://doi.org/10.1007/s11629-011-1018-x
Rabatel A, Letréguilly A, Dedieu JP, Eckert N (2013) Changes in glacier equilibrium-line altitude in the western Alps from 1984 to 2010: evaluation by remote sensing and modeling of the morpho-topographic and climate controls. Cryosphere 7:1455–1471. https://doi.org/10.5194/tc-7-1455-2013
Shangguan D, Liu S, Ding Y, Ding L, Xu J, Jing L (2009) Glacier changes during the last forty years in the Tarim Interior River basin, northwest China. Prog Nat Sci 19:727–732
Shangguan D, Liu S, Ding Y, Zhang Y, Du E, Wu Z (1993) (2008) Thinning and retreat of Xiao Dongkemadi glacier, Tibetan Plateau, since. J Glaciol 54:949–951
Shangguan D, Liu S, Ding Y, Zhang Y, Li J, Li X, Wu Z (2010) Changes in the elevation and extent of two glaciers along the Yanglonghe river Qilian Shan, China. J Glaciol 56:309–317. https://doi.org/10.3189/002214310791968566
Stearns LA (2011) Dynamics and mass balance of four large East Antarctic outlet glaciers. Ann Glaciol 52:116. https://doi.org/10.3189/172756411799096187
Wang L, Li Z, Wang F, Li H, Wang P (2014) Glacier changes from 1964 to 2004 in the Jinghe River basin Tien Shan. Cold Reg Sci Technol 102:78–83. https://doi.org/10.1016/j.coldregions.2014.02.006
Wang Y et al (2016) An investigation of the thermo-mechanical features of Laohugou Glacier No.12 in Mt. Qilian Shan, western China, using a two-dimensional first-order flow-band ice flow model. Cryosphere. https://doi.org/10.5194/tc-2016-38
Wendt A, Mayer C, Lambrecht A, Floricioiu D (2017) A Glacier surge of bivachny glacier pamir mountains, observed by a time series of high-resolution digital elevation models and glacier velocities. Remote Sens 9:388
Wu L, Li H, Wang L (2011) Application of a degree-day model for determination of mass balance of Urumqi Glacier No. 1, eastern Tianshan China. J Earth Sci 22:470–481. https://doi.org/10.1007/s12583-011-0201-x
Wu Z, Liu S, He X (2016a) Numerical simulation of the flow velocity and temperature of the Dongkemadi Glacier. Environ Earth Sci 75:1–11. https://doi.org/10.1007/s12665-016-5262-9
Wu Z, Liu S, Zhang H (2016b) Numerical simulation of the flow velocity and change in the future of the SG4. Arab J Geosci 9:1–12. https://doi.org/10.1007/s12517-015-2284-7
Wu Z, Liu S, Zhang S, Shangguan D (2013a) Accelerated thinning of Hei Valley No. 8 Glacier in the Tianshan Mountains, China. J Earth Sci 24:1044–1055. https://doi.org/10.1007/s12583-013-0382-6
Wu Z, Shiyin L, Shiqiang Z, Honglang X (2013b) Internal structure and trend of glacier change assessed by geophysical investigations. Environ Earth Sci 68:1513–1525. https://doi.org/10.1007/s12665-012-1845-210
Wu Z, Zhang H, Liu S, Ren D, Bai X, Xun Z, Ma Z (2019) Fluctuation analysis in the dynamic characteristics of continental glacier based on full-Stokes model. Sci Rep 9:20245. https://doi.org/10.1038/s41598-019-56864-3
Xu M, Han H, Kang S (2017) Modeling glacier mass balance and runoff in the Koxkar river basin on the south slope of the Tianshan Mountains, China, from 1959 to 2009. Water 9:100. https://doi.org/10.3390/w9020100
Xu X, Pan B, Hu E, Li Y, Liang Y (2011) Responses of two branches of Glacier No. 1 to climate change from 1993 to 2005 Tianshan, China. Quat Int 236:143–150
Yan S, Guo H, Liu G, Fu W (2013) Monitoring Muztagh Kuksai glacier surface velocity with L-band SAR data in southwestern Xinjiang, China. Environ Earth Sci 70:3175–3184
Yaping L, Shugui H, Jiawen R, Yetang W, Zhixin G (2006) Distribution features of borehole temperatures in the Miaoergou flat-topped glacier East Tianshan Mountains. J Glaciol Geocryol 28:668–671. https://doi.org/10.1007/s11442-006-0415-5
Yasuda T, Furuya M (2013) Short-term glacier velocity changes at West Kunlun Shan, Northwest Tibet, detected by Synthetic Aperture Radar data. Remote Sens Environ 128:87–106. https://doi.org/10.1016/j.rse.2012.09.021
Yasuda T, Furuya M (2016) Dynamics of surge-type glaciers in West Kunlun Shan Northwestern Tibet. J Geophys Res Earth Surface 120:2393–2405
Yi H, Tai-bao Y, Qin J, Jie C, Gang Z, Wanwan S (2015) Glacier variation in response to climate change in Chinese Tianshan mountains from 1989 to 2012. J Mt Sci 12:1189–1202. https://doi.org/10.1007/s11629-015-3445-6
Zhang T et al (2013) Observed and modelled ice temperature and velocity along the main flowline of East Rongbuk Glacier, Qomolangma (Mount Everest) Himalaya. J Glaciol 59:438–448. https://doi.org/10.3189/2013JoG12J202
Zhang Y, Fujita K, Liu S, Liu Q, Wang X (2010) Multi-decadal ice-velocity and elevation changes of a monsoonal maritime glacier: Hailuogou glacier China. J Glaciol 56:65–74. https://doi.org/10.3189/002214310791190884
Zhang Y, Guo Y (2011) Variability of atmospheric freezing-level height and its impact on the cryosphere in China. Ann Glaciol 52:81–88. https://doi.org/10.3189/172756411797252095
Zhang Y, Hirabayashi Y, Liu S (2012) Catchment-scale reconstruction of glacier mass balance using observations and global climate data: case study of the Hailuogou catchment, south-eastern Tibetan Plateau. J Hydrol 444–445:146–160. https://doi.org/10.1016/j.jhydrol.2012.04.014
Zhao L, Tian L, Zwinger T, Ding R, Zong J, Ye Q, Moore JC (2014) Numerical simulations of Gurenhekou glacier on the Tibetan Plateau. J Glaciol 60:71–82. https://doi.org/10.3189/2014JoG13J126
Zhen W, Huiwen Z, Shiyin L, Junyin C (2019) Influence of debris cover on glacier response to climate change:insights from Koxkar glacier using dynamic simulation. Arab J Geosci 12:1–11. https://doi.org/10.1007/s12517-019-4673-9
Zhen W, Huiwen Z, Shiyin L, Junyin C, Dachen T (2018a) Numerical Modeling of the Seasonal Dynamic Characteristics of the Koxkar Glacier, in West Tianshan, China. J Geol Soc India 92:1–8. https://doi.org/10.1007/s12594-018-1041-4
Zhen W, Shiyin L, Huiwen Z, Junyin C, Kai Y (2018b) Full-Stokes modeling of a polar continental glacier: the dynamic characteristics response of the XD Glacier to ice thickness. Acta Mech 229:2393–2411. https://doi.org/10.1007/s00707-018-2112-8
Zhen W, Zhang S, Liu S (2013) Optimal antenna of ground penetrating radar for depicting the debris thickness and structure of the Koxkar Glacier Tianshan, China. J Earth Sci 24:830–842. https://doi.org/10.1007/s12583-013-0376-4
Zhongqin L, Huilin L, Yaning C (2011) Mechanisms and simulation of accelerated shrinkage of continental glaciers: a case study of urumqi glacier No. 1 in Eastern Tianshan Central Asia. J Earth Sci 22:423–430. https://doi.org/10.1007/s12583-011-0194-5
Acknowledgements
This study has been supported by four subjects, National Key R&D Program of China (No. 2018YFC1503206), the National Natural Science Foundation of China (Nos. 41761006, 41301018) and the Science for Earthquake Resilience of China Earthquake Administration (XH20059)
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Wu, Z., Zhang, W.H., Liu, Y.S. et al. Analysis of the response of glaciers to climate change based on the glacial dynamics model. Environ Earth Sci 79, 438 (2020). https://doi.org/10.1007/s12665-020-09188-9
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DOI: https://doi.org/10.1007/s12665-020-09188-9