Introduction
Trapridge Glacier is a small sub-polar glacier situated in the St. Elias Mountains, Yukon Territory, Canada (Fig. 1). The glacier was identified as surge-type by A. S. Post and since 1969 has been the object of on-going glaciological and geophysical studies. Of the few surge-type glaciers that have been closely studied, Trapridge Glacier has several notable attributes: (1) It is small (length km) and comparatively thin (depth ≈80m), making it tractable for detailed scientific study. (2) Its sub-polar, rather than temperate, thermal regime is characteristic of a large class of surge-type glaciers found in northwestern Canada, Arctic Canada, interior Alaska, East Greenland and Spitsbergen. Moreover, the thermal structure of Trapridge Glacier has affinities with that of past and present continental ice sheets; warm-based ice is bounded by a margin of cold-based ice that affects both ice dynamics and subglacial water flow. (3) The glacier is known to rest on a deforming sediment substrate (Reference Blake and ClarkeBlake and Clarke, 1989; Blake and others, in press). Subglacial processes that we observe beneath Trapridge Glacier may therefore have direct relevance to the mechanics of West Antarctic ice streams such as Ice Stream Β which also rest on deforming sediment.
The long-term objective of our program on Trapridge Glacier is to comprehend the mechanism of glacier surging. Despite the impressive legacy from the study of Variegated Glacier and its 1982–83 surge (e.g. Reference Bindschadler, Harrison, Raymond and CrossonBindschadler and others, 1977; Reference Kamb, Raymond, Harrison, Engelhardt, Echelmeyer, Humphrey, Brugman and PfefferKamb and others, 1985; Reference Humphrey, Raymond and HarrisonHumphrey and others, 1986; Reference Raymond and MaloneRaymond and Malone, 1986; Reference KambKamb, 1987; Reference Kamb, Raymond, Harrison, Engelhardt, Echelmeyer, Humphrey, Brugman and PfefferKamb and Engelhardt, 1987; Reference Raymond and HarrisonRaymond and Harrison, 1988), the question of surge mechanism remains contentious. The emphasis of our field study is on the role of subglacial deformation and hydrological processes in triggering and maintaining a surge (Reference ClarkeClarke, 1987; Blake and Clarke,1988,1989; Reference Smart and ClarkeSmart and Clarke, 1988; Reference Clarke and GérinClarke and Gérin, 1989; Reference Stone and ClarkeStone and Clarke, 1989; Reference Clarke and BlakeClarke and Blake, 1990; Blake and others, in press). In addition to focused investigations aimed at identifying and quantifying subglacial physical processes, we continue a broad-scale characterization of the geometry, flow and temperature fields. The purpose of the present paper is to report on the dramatic changes in geometry and thermal structure that have occurred during our study of the glacier. These large-scale changes have resulted from a gradual and continuous evolution of the glacier rather than from a series of recognizable events such as surge pulses. Comparison of vertical aerial photographs from 1968 and 1977 (Fig. 2) shows the prevailing trends during the quiescent period from 1968 to the present. There has been progressive deglaciation of the surge “receiving area” (Reference Meier and PostMeier and Post, 1969) that had been covered by ice during the previous surge. Concurrent recharging of the “reservoir area” has resulted in the formation of a large wave-like bulge that marks the boundary between reservoir and receiving areas (Fig. 3). The development of such bulges seems to be a common feature of sub-polar surge-type glaciers as they approach the active phase of the surge cycle. Our study reveals that the formation of the Trapridge Glacier bulge is intimately related to the glacier thermal regime. This interplay between thermal structure and flow dynamics is one of the most fascinating aspects of the geometrical and thermal changes that we have observed.
Historical Background
Scientific expeditions organized by W. A. Wood from 1935 to 1941 (Reference WoodWood, 1936, Reference Wood1942; Reference WoodWood, 1940;Reference Sharp Sharp, 1947,1951) establish what little is known about Trapridge Glacier prior to its most recent surge around 1945. R. P. Sharp, the 1941 expedition geologist, described “Glacier 13” (Trapridge Glacier) as “advancing rapidly”; an accompanying photograph shows that the glacier had developed a vertical ice front that appears to be advancing over inactive ice down-flow from the ice cliff (Reference SharpSharp, 1947, Fig. 5). It is tempting to believe that Sharp was observing Trapridge Glacier during a surge, but the present appearance of the glacier closely resembles that in a 1941 photograph (Reference SharpSharp, 1951, plate 5B), and no surge is currently in progress. World War II interrupted Sharp’s field work and there is an observational hiatus from fall 1941 to summer 1951 when a Canadian Government aerial photogrammetric survey was completed. During this hiatus, the photographic record clearly reveals that a major surge had taken place (Reference Clarke, Collins and ThompsonClarke and others, 1984, Fig. 3).
Profile Evolution
Quantitative study of Trapridge Glacier began in 1969 with the surveys of Reference CollinsCollins (1972). A network of flow markers, installed in the summer of 1969, has been enlarged and repeatedly surveyed to yield information on changes in surface geometry and flow rate from 1969 to 1989. The 1969–70 surveys of Trapridge Glacier revealed the existence of a zone of strongly emergent flow resulting from the collision between active and immobile ice near the lower terminus. This led Collins to refer to the stagnant lower tongue as an ice “dam”, although at the time of his proposal the morphological consequences of the dam were barely evident. From 1969–80 this collision zone evolved into a wave-like bulge that is the most striking feature of the present glacier (Fig. 3).
Figure 4 shows the evolution of the glacier surface profile from 1969–89. The 1969 profile (dotted line) is taken as a reference against which subsequent profiles are compared. The elevation profile of the glacier bed (hatched lines) has been determined using results from extensive thermal drilling to the glacier bed. Over the period 1980–89, more than 270 holes were drilled to the glacier bed and the easting, northing and elevation coordinates of the surface position of each hole were measured at the time of drilling. Subtraction of the measured hole length from the surface elevation gives the elevation of the bed surface, if errors caused by non-verticality of the holes are neglected. These determinations of bed topography were placed in a computer data base and subsequently retrieved to yield bed-elevation profiles. What is noteworthy in Figure 4 is the magnitude of the geometric changes that have taken place since 1969. The 1969–70 changes were small but entirely consistent with the subsequent growth of a wave-like bulge. Although the flow effects of immobile ice were apparent to Collins in 1970, the profile evolution from 1969–74 was sufficiently subtle that it escaped notice by those working on the glacier surface. No field observations were conducted in 1973 and from 1975–79. By the summer of 1980, the glacier surface had undergone an impressive transformation and the wave-like bulge was well developed (Fig. 3).
From 1969–80, bulge formation was the dominant process controlling profile evolution, and from 1980–89 bulge propagation was dominant. Figure 5 shows details of the bulge propagation from 1980–89. The 1980 profile is plotted as a solid line and annual profiles thereafter are plotted as dotted or dashed lines. Throughout this phase, the profile has progressively steepened and is propagating down-flow at a fairly constant rate averaging roughly 30 m a−1.
From 1980–88, the bulge existed at the boundary between actively flowing ice and a thinning region of inactive ice downstream from the bulge that we refer to as the “apron” (Figs 3 and 5). In 1989, advancing ice had completely overridden this apron, and it is now evident that the presence of the apron was necessary for preventing the formation of an ice cliff. Activation and incorporation of apron ice into the advancing bulge front is accomplished, at least in its visible manifestations, by creep rather than by shear faulting (Fig. 6). Longitudinal compression of ice immediately down-slope from the bulge causes the ice surface to rise, allowing the bulge profile to propagate in a continuous manner (Fig. 7). In the collision zone, between thick active ice and thin stagnant ice, it might be expected that shear failure would occur and that the active ice would override the inactive ice. We have found no surface evidence for this style of fault-like deformation at the boundary between the bulge and the apron. Thrust faults, if they are present, do not intersect the glacier surface.
Evolution Of Thermal Structure
The thermal structure of Trapridge Glacier has been studied more closely than that of any other mass of glacier ice in the world. This research began in 1972 (Reference Jarvis and ClarkeJarvis and Clarke, 1975) and has continued to 1989. Over this interval, 54 holes have been instrumented with thermistor cables. The 1972 holes were drilled using electrothermal probes and few, if any, of these holes are believed to have reached the glacier bed. Subsequent drilling, begun in 1980, has been done using a hot-water jet and most of these holes are known to have reached the bed. The 1972 program revealed the existence of the “cold ring” thermal regime, characteristic of ice caps in Nordaustlandet (Reference SchyttSchytt, 1969). At the time of this discovery we believed that this was evidence for some form of thermal mechanism controlling glacier surging (Reference Jarvis and ClarkeJarvis and Clarke, 1975; Reference ClarkeClarke, 1976; Reference Clarke, Nitsan and PatersonClarke and others, 1977). We no longer subscribe to this idea although, for sub-polar glaciers such as Trapridge Glacier, the thermal regime may have some influence on the processes that conspire to produce surges. The most significant result from our study of thermal structure was that the formation and propagation of the bulge are strongly related to the thermal structure.
The 1980–81 program of drilling and ice-temperature measurement revealed the relationship between flow, geometry and thermal structure of the glacier (Fig. 8). Down-flow from the bulge, ice is thin, inactive and cold-based; up-flow it is thick, flowing at roughly 25 m a−1 and warm-based. The collision zone is located at the boundary between unfrozen bed, over which sliding is possible, and frozen bed, over which sliding is inhibited. The cold-based frontal apron acts as a mechanical dam that causes the glacier to thicken up-flow from it. This thickening cannot continue indefinitely because apron ice is progressively thinning by surface ablation and because, upstream from the effective dam, increasing ice thickness and surface slope in the collision region raise the stress level. One can foresee several possible outcomes: (1) Stress rises to a level that enables creep processes to become vigorous and propagate the bulge front down-glacier. (2) Stress rises to a level that causes faulting to occur at the warm-cold transition and the bulge advances by overthrusting. (3) Stress rises to a level that causes faulting to occur at the boundary between thin ice, comprising the apron, and thick ice, comprising the bulge front; the bulge advances by overthrusting. (4) The onset of thermal instability at the warm-cold transition allows the warm-cold boundary to migrate down-flow enabling the bulge to propagate by bottom sliding. (5) Subglacial hydrological processes allow water to flow into the cold-based region thereby propagating the warm-cold transition down-flow and allowing the bulge to propagate by bottom sliding. Our observations suggest that items (1) and (2) are the dominant mechanisms by which the bulge profile is advanced.
Ice deformation eventually severs thermistor cables so that most of the holes instrumented in 1980 (Fig. 9) had to be redrilled and re-instrumented in 1981 (Fig. 8). In addition, the observation line was extended up-glacier (adding holes at 12C and 13C) and down-glacier (adding 1C). Site 4C, which was was engulfed by the advancing bulge, was replaced by site 3.5C immediately down-flow from the bulge front. Holes drilled in 1981 were located at the same surface markers that identified the 1980 drill holes. Thus, for example, the hole drilled at site 9C(1980) (i.e. the summer 1980 location of surface marker pole 9C) was redrilled at 9C(1981) (the summer 1981 location of marker 9C). Our temperature measurements were therefore taken at fixed locations within a moving coordinate system that can be regarded as analogous to the Lagrangian coordinate system used in continuum mechanics. Figure 8 shows the 1981 geometry of the bulge region and the associated temperatute measurements. Note that up-flow from the bulge (sites 13C, 12C, 11C, 10C and 9C) bottom temperature is at the melting point, whereas on the bulge and down-flow from it (sites 6C, 3.5C, 3C, 2C and 1C) bottom temperature is well below the melting temperature, ranging from –3.4°C at site 6C to –1.5°C at site 2C. The 15 m ice temperature also varies along the profile ranging from –5.9°C at site 12C to –3.0°C at site 2C. The reversed temperature gradients (i.e. temperature increasing with distance from the bed) apparent at sites 6C, 3.5C, 2C and 1C are a consequence of summer warming of the ice surface and are within the near-surface zone disturbed by the annual temperature cycle. Thus temperatures measured in the uppermost 10 m should be ignored.
Although the 1980–81 ice-temperature measurements revealed the thermal structure of Trapridge Glacier, the observation interval was too short to reveal the time evolution of thermal structure. We therefore repeated our program of drilling and ice-temperature measurements in 1987 and again in 1988. For these measurements we attempted to place our holes at the geographical positions of the 1980 holes. Our measurement coordinate system for the 1980, 1987 and 1988 data therefore resembles the Eulerian (spatially fixed) coordinate system of continuum mechanics. Of course, a true Eulerian configuration is impossible to achieve because, once emplaced, the thermistor cables are transported with the ice and cannot maintain a fixed geographical position.
From 1980–89 the bulge advanced roughly 285 m and in doing so has completely overridden the region once covered by the frontal apron of thin, stagnant, cold-based ice. By redrilling and re-instrumenting holes at the 1980 thermistor cable sites we have determined how the changing glacier geometry has affected the thermal structure and have also examined the migration of the warm- to cold-based transition. In comparing the 1980 temperature measurements with those taken in 1987 and 1988, striking differences are apparent (Fig. 9). Ice temperature at a depth of 15 m has warmed by a typical value of 2°C. We attribute this temperature increase to water penetration into crevasses that have grown deeper and more numerous since 1980.
A second noteworthy change is the increase in deep ice temperature at sites that in 1980 were cold-based (4C, 3C, 2C, 1C in Figure 9). In 1980 the transition from warm- to cold-based ice was located near 8C and by 1988 it had migrated at least as far down-flow as site 4C. This increase in deep ice temperature has not, we believe, been accompanied by the formation of a layer of temperate basal ice as exists, for example, in polythermal glaciers such as White Glacier (Reference BlatterBlatter, 1987; Reference Hutter, Blatter and FunkHutter and others, 1988). Comparison of 1980–81 measurements from sites 3C and 2C with 1987–88 data from the same geographical positions reveals an extraordinary discrepancy between the expected and actual drilling depths. Our interpretation, justified in a subsequent section, is that an englacial structure, composed of subglacial sediment, formed beneath these sites. In Figure 9 the 1987 and 1988 insets for sites 3C and 2C show two bed horizons. The uppermost horizon marks the drilling depths of 1987–88 holes and the lowermost horizon marks the level of the 1980–81 glacier bed. There are no measurements of ice temperature in the zone between these two horizons but we surmise that basal temperature remains below the melting temperature. It is interesting that the 1988 ice temperature indicated by the lowermost thermistors at sites 3C and 2C is within 0.3°C of the melting temperature despite the fact that the true glacier bed lies roughly 15 m below the level of these thermistors. At warm-bedded sites farther up-glacier (Figure 9, insets for 1988 sites 11C, 10C, 9C, 8C, 6C and 4C) the ice temperature 15 m above the bed is substantially colder, varying from –0.8° to –1.1 °C. We believe that the explanation of the warm deep ice at 3C and 2C is that wet subglacial sediment has been transported from the warm-based zone to construct the internal feature. The 1987 and 1988 temperature profiles at site 4C (Fig. 9) are anomalous in that they reveal a zone of decreasing temperature with depth. In the absence of an internal heat source, such a feature must be transient. It is a reasonable conjecture that the disturbed temperatures are in some way associated with the deformation that produced the internal structure beneath sites 3C and 2C. Apparent reversed temperature gradients can also result if thermistor cables are incorrectly wired or measurements are incorrectly taken, but neither possibility can explain the temperature anomaly at site 4C. The anomaly observed in 1987 is similar to that observed in 1988 but the measurements were taken on two different thermistor cables installed in two different holes. Between the time of drilling and the time of final temperature measurement, many separate sets of temperature measurements were taken so that the approach to thermal equilibrium was closely monitored.
Figure 10 unifies the results of our study of geometry, thermal structure and flow for the years 1980, 1981, 1987 and 1988. Obvious qualitative features of the evolution from 1980–88 are pronounced warming of the upper 30 m of the glacier and the complexity of the 1987–88 thermal structure compared to that in 1980–81. The location of the postulated internal structure is indicated by a dashed horizon in the 1987 and 1988 cross-sections (Fig. 10c and d). The temperature anomaly at site 4C leads to overturning of the –1°C isotherm. Arrows show the direction and magnitude of the surface flow vectors.
Certain inconsistencies in the data used to generate Figures 8, 9 and 10 must be acknowledged. Thermal drilling disturbs ice temperature and the time for such disturbances to become negligible depends on hole radius, ambient temperature of the surrounding ice and other factors. Thus, deep thermistors installed in warm ice, for example that near the glacier bed, take far longer to reach equilibrium than thermistors installed in cold ice. Another source of difficulty is that the interval between installation of thermistor cables and the taking of final temperature measurements differs from site to site because holes were not simultaneously drilled and because thermistor longevity is variable. Bottommost thermistors and all thermistors on cables installed close to the bulge front were especially short-lived. We decided against attempting to correct temperature measurements to their equilibrium values because we feared the correction would introduce a new source of uncertainty. Minor inconsistencies between data from 1980 and 1981 and between 1987 and 1988 result from the foregoing difficulties and are not a cause for concern.
The 1981–82 program generated an erroneous conclusion that we now wish to emend. Comparison of the measured 1981 and 1982 near-basal ice temperatures in the cold-based stagnant ice zone indicated that near-basal ice in this region had undergone a warming of up to 0.5°C from 27 September 1981 to 11 August 1982 (Reference Clarke, Collins and ThompsonClarke and others, 1984, fig. 6). Basal temperature increases having similar character were never again observed and we now suspect that the supposed increases resulted from a methodological error. On numerous occasions we have observed that measurements of the resistance of englacial thermistors are corrupted by the presence of an unexplained voltage source. We believe that this results from some sort of electrochemical phenomenon related to wire corrosion or to some other source of ionic impurities in ice near the thermistor but we have not succeeded in identifying the precise mechanism. The effect of this electrochemical potential is to place a small battery in series with each thermistor. These unusual potentials have a measured magnitude that is strongly dependent on the input impedance of the measuring device, indicating that the ostensible battery is a poor current source. The magnitude of the disturbing potential decays with time and our usual approach to removing its influence is to wait for the measured resistance value to stabilize then reverse the electrical contacts and remeasure the resistance. The average value of the “forward” and “reverse” resistances is taken as the true resistance. The 1982 observations, upon which we based the conjecture of a subglacial thermal energy source, were based on a single set of measurements taken by an observer who was incompletely familiar with this problem of electro-chemical voltages.
In 1983 we drilled 12 holes in the cold-based “apron” ice down-flow from the bulge front to seek fluctuations in basal ice temperature that might indicate water flowing beneath the cold-based bed or in short-lived cold-walled channels passing through the ice. We reasoned that deep ice-temperature measurements might be used to identify and locate subglacial water routes if they existed. Measurements at these sites were continued for several years until the locations were overridden by the advancing bulge. The longest surviving sites yielded bottom-temperature records that extend from 1983 to 1985. We found no further evidence for subglacially generated temperature fluctuations and found no thermal evidence for localized water flow in channels at or beneath the bed.
Generation Of Internal Structure
Drilling and ice-temperature measurements in 1987 and 1988 point strongly to the presence of an internal sediment structure that did not exist at the time of the 1980 and 1981 drilling and ice-temperature measurements. Holes drilled in 1987 and 1988 at sites 3C(1980) and 2C(1980) were stopped by a sediment horizon that had not been encountered in 1980 and 1981. Samples taken from the bottom of the 1988 drill holes (Fig. 11) confirm that the hot-water drill intersected a sediment horizon and that the sediment was identical in character to samples taken from holes that are known to have reached the bed. The roundness and striations of individual clasts indicate that the sediment is of subglacial origin rather than supraglacial or englacial moraine which is characteristically angular. Our “Hoover” sampler sucks loose material from the bed and tends to undersample the very fine- and very coarsegrained constituents so we did not examine the quantitative granulometry of the samples. The fact that four independent holes drilled in 1987–88 all failed to reach the level of the 1980–81 glacier bed in the same region suggests that the sediment structure is spatially continuous over a considerable area. The cause for such a structure to form is most surely the transition from warm-based to cold-based ice that also gives rise to the disturbed thermal structure observed independently in 1987 and 1988 immediately up-flow from the internal sediment structure (refer to 1987 and 1988 temperature profiles for sites 6C and 4C in Figure 9). We are highly confident of the following interpretations. The 1987 and 1988 drill holes at sites 2C(1980) and 3C(1980) were stopped by a sediment layer of subglacial origin that was too thick for the drill to penetrate. This layer was located as much as 22 m above the bed that was revealed by 1980 and 1981 drilling at the same geographical locations. There was no evidence for this layer in 1980 or 1981 and it is inconceivable that its existence would have escaped notice.
In 1990 we attempted to use an impulse radar survey to map the geometry and extent of this internal structure.
About 45 soundings were taken but results were equivocal. Because the surveyed region is extensively crevassed, it is impossible to make a clear distinction between echoes from internal reflectors and echoes from surface crevasses.
Figure 12 shows several possible mechanisms for generating internal structures that could account for our drilling observations. The first mechanism (Fig. 12a – a') might be viewed as bulge formation within the deforming subglacial sediment. The second mechanism (Fig. 12b – b') involves recumbent folding of subglacial sediment. The remaining mechanisms involve several variants of thrust faulting (Reference DahlstromDahlstrom, 1969; Reference DavisDavis, 1984, p. 284–85). The first of these is simple thrust faulting (Fig. 12c–c') for which the fault displacement is constant along the fault plane and the fault plane intersects the glacier surface. Such a restriction on displacement is unnecessary and it is possible that the fault imbricates and cuts the surface as several fault planes splaying from a single fault surface (Fig. 12d – d') or terminates internally as a blind thrust that does not intersect the surface (Fig. 12e–e'). In the latter case, fault displacement varies along the fault surface reaching zero at the propagating edge of the fault surface, and the variation in displacement is accommodated by creep deformation. This is our preferred mechanism for generating the proposed internal structure. The mechanisms we consider least likely are the bulging and simple thrust fault mechanisms. Bulge growth would require more subglacial sediment than is likely to be available to form the structure. Simple thrust faulting would require the existence of a fault plane along which there has been at least 100 m of thrust displacement (judging from Figure 9c and d). Such a fault should have an unmistakable surface expression, yet we have seen no evidence for it. It is possible that the total displacement is distributed over a large number of splay faults which we have failed to recognize because of extensive crevassing near the bulge, but we think it more probable that no thrust faults emerge from the glacier surface. The recumbent fold mechanism or the blind thrust-fault mechanism could generate the internal sediment structure without producing a surface fault plane. A difficulty with the recumbent-fold mechanism is that it implies extremely tight folding of ice in the immediate vicinity of the bed sediment structure. For this reason, we favour the final explanation, that a thrust plane exists but the fault terminates within the glacier.
The ice margin of Barnes Ice Cap (Reference HookeHooke, 1973) and of Taylor Glacier (Reference ShawShaw, 1977) inspired classic studies of glaciers that appear to have advanced over and incorporated their frontal aprons. When the apron is debris-rich, this process could result in a debris-rich layer of basal ice that could stop the progress of a hot-water drill. There is no possibility that the Trapridge Glacier internal structure can be explained in this fashion. The frontal apron of Trapridge Glacier was comparatively free of debris and apron ice appears to have been incorporated into the bulge front rather than being overridden by it (Figs 6 and 7).
Discussion
The geomorphic effects of a transition from warm-based to cold-based ice have intrigued many investigators. Reference WeertmanWeert-man (1961) discussed the genesis of Thule–Baffin moraines and challenged the prevailing view that: – ‘Active’ ice from the interior of an ice sheet moves outward to the edge where it is blocked by a zone of ‘dead’ ice. The active ice rides over the dead ice by slippage over active shear planes. It is further assumed that these active shear planes extend to the bottom of the ice sheet and that debris from the bed can be scraped up, carried into the ice to form debris layers, and ultimately be transported to the upper surface along these planes.“ His own proposal was that basal debris was incorporated by a freeze-on process operating in the thermal transition region. The recent history of Trapridge Glacier has involved ice thickening and a decrease in basal temperature gradients, trends that work against bottom freezing. If sediment freeze-on has been significant beneath Trapridge Glacier, the most favourable conditions occur in the post-surge receiving area when ice is thinning and bottom temperature is decreasing with time.
Hutter and Olunloyo (Reference Hutter and Olunloyo1980, Reference Hutter and Olunloyo1981) considered an idealized case where there was an abrupt spatial transition from a region of basal sliding (corresponding to a warm-based glacier) to a region of adherence (corresponding to a cold-based glacier).Footnote * They discovered that this situation gives rise to a mathematical singularity in basal stress, and went on to speculate that such a stress singularity might favour erosion of the subglacial bed. Our structural interpretations suggest that regions of concentrated stress, such as those analyzed in the Hutter–Olunloyo theory are capable of migrating and, in fact, are not constrained to migrate along the ice–bed boundary, but can launch upward from the bed. In many respects the stresses and strain rates that appear to be involved resemble the stresses and strains associated with edge dislocations in elastic media (Steketee, 1958Reference Steketeea, Reference Steketeeb; Reference ChinneryChinnery, 1961). The rich literature on moving edge dislocations (e.g. Reference Hirth and LotheHirth and Lothe, 1968, p. 163–69) may provide a departure point from which a more complete version of the Hutter-Olunloyo theory can be constructed. Figure 13 illustrates the englacial migration of a stress singularity and shows the displacement discontinuity that would result. The magnitude of the displacement discontinuity (corresponding to the Burgers' vector in dislocation theory) vanishes at the position of the singularity line and increases with distance away from it. Unlike the elastic case, the deformation that accommodates the variable displacement discontinuity is non-recoverable and caused by creep.
We cannot conclude this paper without returning to the question of glacier surging. It is worthwhile summarizing observations that constrain the surge mechanism:
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1. The cold-based apron or “ice dam” (Reference CollinsCollins, 1972) may have contributed to the formation of the wave-like bulge but it was not buttressing the glacier against a surge. The complete disappearance of the apron, since 1988, has not noticeably affected ice-flow rates.
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2. The glacier has exactly the thermal structure that would encourage speculation on a thermal instability mechanism controlling surging, but we see no strong case for thermal instability.
From separate hydrological studies (Reference Stone and ClarkeStone and Clarke, 1989) we can add the following observations:
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3. The cold-based zone does not prevent the outflow of basal water although it may complicate the process of establishing a water-exit system by forcing water to drain laterally to ice-marginal streams or tunnel, in some fashion, through or beneath the cold-based zone.
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4. Subglacial water upstream from the cold-based zone is not ponded, at least not throughout the entire year.
In our opinion the results presented in this paper lend no support to surge mechanisms that rely on the presence of thermal or mechanical dams even though both are found at Trapridge Glacier.
Acknowledgements
This research was enabled by grants from the Natural Sciences and Engineering Research Council of Canada and by student support grants from the Northern Scientific Training Program of the Department of Indian Affairs and Northern Development of Canada and from the Canadian Northern Studies Trust of the Association of Canadian Universities for Northern Studies. We thank Parks Canada for permission to conduct this research in a national park and we especially thank the Superindentent and staff of Kluane National Park for their co-operation and interest. The Heritage Branch of the Government of the Yukon Territory licenses our Yukon field work. Our field study would never have been started and could not continue without the logistic support of Kluane Lake Research Station, owned and operated by the Arctic Institute of North America, University of Calgary. In particular, we thank A. Williams and G. Thompson of the Arctic Institute for their success in keeping the Kluane Lake Research Station operating through some difficult years.
Many individuals contributed to the data collection upon which this paper is based. We thank them all, but offer special thanks to S. G. Collins and M. C. Gérin who directed most of the surveys upon which our geometric results are based, to J. Shaw and C. C. Smart who raised the quality of our science, and to B. B. Narod who carried out the 1990 radar survey. R. P. Sharp and W. A. Wood kindly made their pre-surge photographs available to us.