scholarly journals Brief communication: Estimating the ice thickness of the Müller Ice Cap using an inversion of the shallow ice approximation

2021 ◽  
Author(s):  
Ann-Sofie Priergaard Zinck ◽  
Aslak Grinsted

Abstract. The Müller Ice Cap will soon set the scene for a new drilling project. Therefore, ice thickness estimates are necessary for planning since thickness measurements of the ice cap are sparse. Here, two models are presented and compared, i) a simple inversion of the shallow ice approximation (SIA inversion) by the use of a single radar line in combination with the glacier outline, surface slope, and elevation, and ii) an iterative inverse method using the Parallel Ice Sheet Model (PISM). The two methods mostly agree about a good drill site candidate. However, the new semi-empirical SIA inversion is insensitive to mass balance, computationally fast, and provides better fits.

2011 ◽  
Vol 52 (57) ◽  
pp. 97-102 ◽  
Author(s):  
Christian Haas ◽  
Herve Le Goff ◽  
Samuel Audrain ◽  
Don Perovich ◽  
Jari Haapala

AbstractLocal and transect ice-thickness measurements were performed between May and November 2007 on an ice floe in the Transpolar Drift of the Arctic Ocean using an ice mass-balance buoy and electromagnetic induction (EM) sounding. Repeated EM surveys along an originally 2160m long profile including level and deformed ice showed that between June and September modal and mean thicknesses decreased by 0.6 and 0.86m respectively. the modal thickness decrease is in good agreement with the thinning of 0.6m observed by the ice mass-balance buoy at one location on unponded ice during the same period, although the local observations do not capture the different melt rates on level and rough ice. the paper discusses methodological and operational challenges in sustaining both measurements over periods of several months, and concludes that more work needs to be done to better understand their representativeness.


1990 ◽  
Vol 14 ◽  
pp. 357-357
Author(s):  
Gunhild Rosqvist

Riukojietna (lat. 68°N., long. 18°E.), which is classified as an ice cap, is located 35 km north-west of Kebnekaise, northern Sweden. The glacier is situated between 1140 and 1456 m a.s.l. and covers an area of 4.6 km2. The surrounding mountains reach the 1600 m level. Two maps, based on air photographs taken 1960 and 1978, have been produced. A study of sediments from two lakes receiving meltwater from Riukojietna has yielded information on Riukojietna’s ability to produce rock flour during the Holocene. Several factors affect the production and removal of rock flour of which the most important are ice thickness, basal ice temperature and water discharge. It is assumed that maximum in silt production for a warm-based glacier will closely follow or coincide with maximum in ice volume. Thus the variation of the relative amount of silt in proglacial lacustrine sediments provides a continuous record of fluctuations in glacier activity. Riukojietna either was small and inactive or may have disappeared totally during a long period between 9500 and 2500 years B.P. Between 2500 and 2000 years B P. the climatic conditions were such that a reactivation of Riukojietna could occur. The Scandinavian glaciers reached a distinct maximum at the beginning of the 20th century According to topographical maps, Riukojietna was then more than 10 km2 larger in extent than at present. In order to understand the pattern of glacier variation during the Holocene, the relation between climatic fluctuations and behaviour of Riukojietna is under observation. The purpose is to define those factors that make Riukojietna more sensitive to climatic changes than neighbouring glaciers.The mass balance of Riukojietna has been investigated during the balance years 1985–86, 1986–87 and 1987–88. In spring 1986 the subglacial topography was monitored with a low frequency radio-echo sounder. Based on these results, holes were drilled in August 1988 for temperature recordings. Winter balances have been rather equal over the years. Differences in net balance values are primarily caused by fluctuating summer balances. A high degree of correlation between summer balance and summer temperature can be expected and has been calculated for Storglaciären. Since the net and summer balances of Riukojietna fluctuate in phase with those from Storglaciären, a similar dependence of the mass balance on summer temperature may exist. Because of the gently-sloping surface and even distribution of the accumulation, a rather uniform and negative summer balance occurs over the whole glacier surface.During years with some net accumulation on the glacier, the accumulation area is located on the easterly, lee side of the ice cap, in the height interval 1360–1400 m a.s.l. The lowering of the surface profile between 1960 and 1978 was negligible between 1360 and 1400 m as compared to the lowering of the rest of the glacier surface. The maximum ice thickness, 105 m, also occurs in this interval, whereas the mean ice thickness of Riukojietna is only 36 m.Mass-balance studies have continuously been carried out on Storglaciären since 1945. Between 1959 and 1980 the mean value of the net balance for Storglaciären was −0.33 m w.eq. By using maps from 1960 and 1978 a corresponding value for Riukojietna can be calculated. The result, −0.6 m w.eq., shows that Riukojietna is far from being in balance with the existing climate, while Storglaciären is close to a steady state. According to the “summit method” the glaciation limit is located at 1550 m a.s.l. in the vicinity of Riukojietna. Since the ice-covered bedrock only reaches 1400 m a.s.l., Riukojietna will not reform after a disappearance unless a climatic deterioration generates an approximately 150 m lower glaciation limit. Since the glacier does not experience any net accumulation at present, it will finally disappear if present trends continue; its present condition is probably similar to that experienced during the early Holocene. A distinct climatic deterioration, like the one that occurred between 2500 and 2000 years B.P., would allow a reactivation and expansion of the ice cap.Riukojietna, which covers a mountain plateau, comprises a relatively small vertical extent. Since it is relatively low-lying as compared to cirque glaciers, which often have a larger vertical extent, it is much more sensitive to changes in the climate. Once the ELA rises over 1400 m a.s.l. or is depressed below 1300 m a.s.l. a major part of the ice cap becomes either ablation or accumulation area. After a presumed disappearance, Riukojietna has to reform at a much lower altitude as compared to a cirque glacier. While a minor lowering of the glaciation limit is enough to reactivate cirque glaciers, a more distinct lowering is necessary before a reformation and a reactivation of Riukojietna can occur. If the climatic deterioration is severe enough, Riukojietna will quickly expand over the plateau. The areal extent of the ice cap then becomes much larger as compared to cirque glaciers that are forced to expand to lower altitudes where melting increases.


1990 ◽  
Vol 14 ◽  
pp. 357
Author(s):  
Gunhild Rosqvist

Riukojietna (lat. 68°N., long. 18°E.), which is classified as an ice cap, is located 35 km north-west of Kebnekaise, northern Sweden. The glacier is situated between 1140 and 1456 m a.s.l. and covers an area of 4.6 km2. The surrounding mountains reach the 1600 m level. Two maps, based on air photographs taken 1960 and 1978, have been produced. A study of sediments from two lakes receiving meltwater from Riukojietna has yielded information on Riukojietna’s ability to produce rock flour during the Holocene. Several factors affect the production and removal of rock flour of which the most important are ice thickness, basal ice temperature and water discharge. It is assumed that maximum in silt production for a warm-based glacier will closely follow or coincide with maximum in ice volume. Thus the variation of the relative amount of silt in proglacial lacustrine sediments provides a continuous record of fluctuations in glacier activity. Riukojietna either was small and inactive or may have disappeared totally during a long period between 9500 and 2500 years B.P. Between 2500 and 2000 years B P. the climatic conditions were such that a reactivation of Riukojietna could occur. The Scandinavian glaciers reached a distinct maximum at the beginning of the 20th century According to topographical maps, Riukojietna was then more than 10 km2 larger in extent than at present. In order to understand the pattern of glacier variation during the Holocene, the relation between climatic fluctuations and behaviour of Riukojietna is under observation. The purpose is to define those factors that make Riukojietna more sensitive to climatic changes than neighbouring glaciers. The mass balance of Riukojietna has been investigated during the balance years 1985–86, 1986–87 and 1987–88. In spring 1986 the subglacial topography was monitored with a low frequency radio-echo sounder. Based on these results, holes were drilled in August 1988 for temperature recordings. Winter balances have been rather equal over the years. Differences in net balance values are primarily caused by fluctuating summer balances. A high degree of correlation between summer balance and summer temperature can be expected and has been calculated for Storglaciären. Since the net and summer balances of Riukojietna fluctuate in phase with those from Storglaciären, a similar dependence of the mass balance on summer temperature may exist. Because of the gently-sloping surface and even distribution of the accumulation, a rather uniform and negative summer balance occurs over the whole glacier surface. During years with some net accumulation on the glacier, the accumulation area is located on the easterly, lee side of the ice cap, in the height interval 1360–1400 m a.s.l. The lowering of the surface profile between 1960 and 1978 was negligible between 1360 and 1400 m as compared to the lowering of the rest of the glacier surface. The maximum ice thickness, 105 m, also occurs in this interval, whereas the mean ice thickness of Riukojietna is only 36 m. Mass-balance studies have continuously been carried out on Storglaciären since 1945. Between 1959 and 1980 the mean value of the net balance for Storglaciären was −0.33 m w.eq. By using maps from 1960 and 1978 a corresponding value for Riukojietna can be calculated. The result, −0.6 m w.eq., shows that Riukojietna is far from being in balance with the existing climate, while Storglaciären is close to a steady state. According to the “summit method” the glaciation limit is located at 1550 m a.s.l. in the vicinity of Riukojietna. Since the ice-covered bedrock only reaches 1400 m a.s.l., Riukojietna will not reform after a disappearance unless a climatic deterioration generates an approximately 150 m lower glaciation limit. Since the glacier does not experience any net accumulation at present, it will finally disappear if present trends continue; its present condition is probably similar to that experienced during the early Holocene. A distinct climatic deterioration, like the one that occurred between 2500 and 2000 years B.P., would allow a reactivation and expansion of the ice cap. Riukojietna, which covers a mountain plateau, comprises a relatively small vertical extent. Since it is relatively low-lying as compared to cirque glaciers, which often have a larger vertical extent, it is much more sensitive to changes in the climate. Once the ELA rises over 1400 m a.s.l. or is depressed below 1300 m a.s.l. a major part of the ice cap becomes either ablation or accumulation area. After a presumed disappearance, Riukojietna has to reform at a much lower altitude as compared to a cirque glacier. While a minor lowering of the glaciation limit is enough to reactivate cirque glaciers, a more distinct lowering is necessary before a reformation and a reactivation of Riukojietna can occur. If the climatic deterioration is severe enough, Riukojietna will quickly expand over the plateau. The areal extent of the ice cap then becomes much larger as compared to cirque glaciers that are forced to expand to lower altitudes where melting increases.


2017 ◽  
Author(s):  
Johannes Jakob Fürst ◽  
Fabien Gillet-Chaulet ◽  
Toby J. Benham ◽  
Julian A. Dowdeswell ◽  
Mariusz Grabiec ◽  
...  

Abstract. The basal topography is largely unknown beneath most glaciers and ice caps and many attempts have been made to estimate a thickness field from other more accessible information at the surface. Here, we present a two-step reconstruction approach for ice thickness that solves mass conservation over single or several connected drainage basins. The approach performs well for a variety of test geometries with abundant thickness measurements including marine- and land-terminating glaciers as well as a 2400 km2 ice cap on Svalbard. Input requirements for the first step are comparable to other approaches that have already been applied world-wide. In the first step, a geometrically controlled, non-local flux solution is converted into thickness values relying on the shallow ice approximation. In a second step, the thickness reconstruction is improved along fast-flowing glacier trunks on the basis of velocity observations. In both steps, thickness measurements are assimilated as internal boundary conditions. Each thickness field is presented together with a map of error estimates which stem from a formal propagation of input uncertainties. These estimates point out that the thickness field is least constrained near ice divides or in other stagnant areas. The error-estimate map also highlights key regions for future thickness surveys as well as a preference for across-flow acquisition. Withholding parts of the thickness measurements indicates that error estimates show a tendency to overestimate actual mismatch values. For very sparse or non-existent thickness information, our reconstruction approach indicates that we have to accept an average uncertainty of at least 25 % in the reconstructed thickness field. For Vestfonna, previous ice volume estimates have to be corrected upward by 22 %. We also find that a 12 % area fraction of the ice cap are in fact grounded below sea-level as compared to the previous 5 %-estimate.


2017 ◽  
Vol 11 (5) ◽  
pp. 2003-2032 ◽  
Author(s):  
Johannes Jakob Fürst ◽  
Fabien Gillet-Chaulet ◽  
Toby J. Benham ◽  
Julian A. Dowdeswell ◽  
Mariusz Grabiec ◽  
...  

Abstract. The basal topography is largely unknown beneath most glaciers and ice caps, and many attempts have been made to estimate a thickness field from other more accessible information at the surface. Here, we present a two-step reconstruction approach for ice thickness that solves mass conservation over single or several connected drainage basins. The approach is applied to a variety of test geometries with abundant thickness measurements including marine- and land-terminating glaciers as well as a 2400 km2 ice cap on Svalbard. The input requirements are kept to a minimum for the first step. In this step, a geometrically controlled, non-local flux solution is converted into thickness values relying on the shallow ice approximation (SIA). In a second step, the thickness field is updated along fast-flowing glacier trunks on the basis of velocity observations. Both steps account for available thickness measurements. Each thickness field is presented together with an error-estimate map based on a formal propagation of input uncertainties. These error estimates point out that the thickness field is least constrained near ice divides or in other stagnant areas. Withholding a share of the thickness measurements, error estimates tend to overestimate mismatch values in a median sense. We also have to accept an aggregate uncertainty of at least 25 % in the reconstructed thickness field for glaciers with very sparse or no observations. For Vestfonna ice cap (VIC), a previous ice volume estimate based on the same measurement record as used here has to be corrected upward by 22 %. We also find that a 13 % area fraction of the ice cap is in fact grounded below sea level. The former 5 % estimate from a direct measurement interpolation exceeds an aggregate maximum range of 6–23 % as inferred from the error estimates here.


1955 ◽  
Vol 2 (18) ◽  
pp. 539-552 ◽  
Author(s):  
H. Röthlisberg

AbstractFirn and ice thickness measurements were carried out by seismic refraction and reflection methods on a flat col of the highland snowfields of the Penny Ice Cap and on a medium-sized valley glacier (Highway Glacier). The longitudinal wave velocities were found to vary from some 1000 m./sec. (3280 ft./sec.) in firn to 3810 m.,/sec. (12,500 ft./sec.) in ice and approximately 6000 m.% sec. (20,000 ft./sec.) in the bedrock (gneiss). The thickness of firn and ice at the firn col was found to be 254 m. (834 ft.). On Highway Glacier some 80 reflections were evaluated, giving position, dip and strike of the bedrock surface. A longitudinal profile of Highway Glacier from the junction of three main tributary glaciers to the tongue is given; the ice thickness slowly decreases. At the junction, the bedrock is 400 m. (1310 ft.) deep, there is no deep basin as might be expected from the surface features. The mean slope of the glacier surface is about 3° of arc and of the bed about 1°.


2017 ◽  
Vol 11 (2) ◽  
pp. 805-825 ◽  
Author(s):  
Harry Zekollari ◽  
Philippe Huybrechts ◽  
Brice Noël ◽  
Willem Jan van de Berg ◽  
Michiel R. van den Broeke

Abstract. In this study the dynamics and sensitivity of Hans Tausen Iskappe (western Peary Land, Greenland) to climatic forcing is investigated with a coupled ice flow–mass balance model. The surface mass balance (SMB) is calculated from a precipitation field obtained from the Regional Atmospheric Climate Model (RACMO2.3), while runoff is calculated from a positive-degree-day runoff–retention model. For the ice flow a 3-D higher-order thermomechanical model is used, which is run at a 250 m resolution. A higher-order solution is needed to accurately represent the ice flow in the outlet glaciers. Under 1961–1990 climatic conditions a steady-state ice cap is obtained that is overall similar in geometry to the present-day ice cap. Ice thickness, temperature and flow velocity in the interior agree well with observations. For the outlet glaciers a reasonable agreement with temperature and ice thickness measurements can be obtained with an additional heat source related to infiltrating meltwater. The simulations indicate that the SMB–elevation feedback has a major effect on the ice cap response time and stability. This causes the southern part of the ice cap to be extremely sensitive to a change in climatic conditions and leads to thresholds in the ice cap evolution. Under constant 2005–2014 climatic conditions the entire southern part of the ice cap cannot be sustained, and the ice cap loses about 80 % of its present-day volume. The projected loss of surrounding permanent sea ice and resultant precipitation increase may attenuate the future mass loss but will be insufficient to preserve the present-day ice cap for most scenarios. In a warmer and wetter climate the ice margin will retreat, while the interior is projected to thicken, leading to a steeper ice cap, in line with the present-day observed trends. For intermediate- (+4 °C) and high- warming scenarios (+8 °C) the ice cap is projected to disappear around AD 2400 and 2200 respectively, almost independent of the projected precipitation regime and the simulated present-day geometry.


2018 ◽  
Vol 64 (248) ◽  
pp. 977-989 ◽  
Author(s):  
STANISLAV KUTUZOV ◽  
LONNIE G. THOMPSON ◽  
IVAN LAVRENTIEV ◽  
LIDE TIAN

ABSTRACTDespite their high value and importance for various glaciological applications, detailed ice thickness measurements of alpine glaciers are still very limited. Knowledge of bedrock topography is essential for paleoglaciological studies. The Guliya ice cap located on the Tibetan Plateau is one of the highest and largest ice caps in mid-low latitude regions. A detailed ground-penetrating radar (GPR) survey was conducted on the Guliya ice cap in 2015 using 20 and 40 MHz frequency antennas. An empirical Bayesian kriging method was used for ice thickness interpolation and uncertainty assessment. GPR measurements revealed complex basal topography of the Guliya glacier with a maximum thickness of 371.12 ± 13 m. The internal reflections caused by changes in the dielectric properties were registered on the 40 MHz radargrams at the summit and were attributed to density variations. As a result of this fieldwork, one of the largest ice thickness datasets in High Mountain Asia was obtained. Guliya glacier elevation changes were assessed by differencing digital elevation models. The glacier gained mass from 2000 to 2015 with an average rate of 0.270 ± 0.11 m w.e. a−1at the summit and 0.279 ± 0.11 m w.e. a−1at the lower elevations.


2016 ◽  
Author(s):  
Harry Zekollari ◽  
Philippe Huybrechts ◽  
Brice Noël ◽  
Willem Jan van de Berg ◽  
Michiel R. van den Broeke

Abstract. In this study the dynamics and sensitivity to climatic forcing of Hans Tausen Iskappe (western Peary Land, Greenland) are investigated with a coupled ice flow – mass balance model. The surface mass balance is calculated from a Positive Degree-Day runoff/retention model, for which the input parameters are derived from field observations. The precipitation field is obtained from the Regional Climate Model RACMO2.3. For the ice flow a 3-D higher-order thermo-mechanical model is used, which is run at a 250 m resolution. A higher-order solution is needed to accurately represent the ice flow in the outlet glaciers. Compared to the Shallow-Ice Approximation this modifies the steady state ice cap volume by 6-8% and the area by 2–4 %. Under 1961–1990 climatic conditions a steady state ice cap is obtained that is overall similar in geometry to the present-day ice cap. Ice thickness, temperature and flow velocity in the interior agree well with observations. For the outlet glaciers a reasonable agreement with temperature and ice thickness measurements can be obtained with an additional heat source related to infiltrating meltwater. The simulations indicate that the SMB-elevation feedback has a major effect on the ice cap response time and stability. This causes the southern part of the ice cap to be extremely sensitive to a change in climatic conditions and leads to thresholds in the ice cap evolution. Under constant 2005–2014 climatic conditions the entire southern part of the ice cap cannot be sustained and the ice cap loses about 80 % of its present-day volume. The projected loss of surrounding permanent sea-ice and corresponding precipitation increase may attenuate the future mass loss, but will be insufficient to preserve the present-day ice cap for most scenarios. In a warmer and wetter climate the ice margin will retreat while the interior is projected to grow, leading to a steeper ice cap, in line with the present-day observed trends. For intermediate (+4 °C) and high warming scenarios (+8 °C) the ice cap is projected to disappear respectively around 2400 and 2200 A.D., almost irrespective of the projected precipitation regime and the simulated present-day geometry.


2021 ◽  
Author(s):  
Whyjay Zheng

Abstract. Basal conditions directly control the glacier sliding rate and the dynamic discharge of ice flow. Recent glacier destabilization events indicate that some marine-terminating glaciers quickly respond to lubricated beds with increased flow speed, but the underlying physics, especially how this vulnerability relates to glacier geometry and flow characteristics, remains unclear. This paper presents a 1-D physical framework for glacier dynamic vulnerability assuming sudden basal lubrication as an initial perturbation. In this new model, two quantities determine the scale and the areal extent of the subsequent thinning and acceleration after the bed is lubricated: Péclet number (Pe) and the product of glacier speed and thickness gradient (dubbed J0 in this study). To validate the model, this paper calculates Pe and J0 using multi-sourced data from 1996–1998 for outlet glaciers in Greenland and Austfonna Ice Cap, Svalbard, and compares the results with the glacier speed change during 1996/1998–2018. Glaciers with lower Pe and J0 are more likely to accelerate during this 20-year span than those with higher Pe and J0, which matches the model prediction. A combined factor of ice thickness, surface slope, and initial speed for ice flow physically determines how much and how fast glaciers respond to lubricated beds, as forms of speed, elevation, and terminus change.


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