Mýrdalsjökull

Mýrdalsjökull is located in the southern part of Iceland. about 150 km east-south-east of Reykjavík (Fig. 1). The ice cap covers the volcanic Katla massif. and, at present. its surfacearea is 596 km², according to Landsatimages and air photos. approximately 15% smaller than it was at the beginning of the century(Reference BjörnssonBjörnsson 1978). Several lines of evidence suggestthat the ice cap is temperate: (i) the snow survey of Reference RistRist (1957). who recorded snow temperaturesof 0°C in the accumulation area. (ii) the present author's observations of numerous subglacial melt-water streams. issuing from the glacier margin as small fountains. and (iii) the presence of striated bedrock along the glacier margin, suggesting movement by basal sliding.

Fig. 1. Surface topography of Mýrdalsjökull and Eyjafjallajökull, with 100 m contours.Sléttjökull is the northern part of Mýrdalsjökull. Pavements of coarse particles were observed where indicated by asterisks.Open circles indicate section of glacierterminus, which was not investigated indetail.

The rate of subglacial erosion on Mýrdalsjökull has been estimated by Reference TómassonTómasson(1976), using measurements of sediment transport in glacier melt-water streams.He found a mean erosional rate of 4.5 mm a^-1, which is high compared to other Ice landic glaciers: Vatnajökull 3.2 mm a^-1, Hofsjökull 0.9 mm a^-1, Langjökull 0.4 mm a^-1, and other glaciers 0.3 mm a^-1 (all values from Reference TómassonTómasson(1976)).The glacier bed of Myrdalsjökull is apparently among the most intensively eroded surfaces on Earth.

The northern part of the ice cap.known as Sléttjökull (Reference RistRist (1957)). has a glacier terminus almost 21 km in length underlain by loose sediments. The proglacial area has a gentle relief. about 600 m a.s.l. During this century, Sléttjökull has retreated about 1.5 km from the outer most moraine system which probably marks the Holocene maximum for this part of the ice cap. At present, the glacier retreats slowly at 8 to 10 m a^-1, compared to the 30 to 35 m a^-1 retreat rate characterizing the period 1937 to 45. which is estimated on the basis of the spacing of small winter moraines and air photos(Reference KrügerKrüger and Humlum, in press). During this retreat, large areas of fluted ground moraine have been exposed. The ground moraine has the form of flats or drumlinized areas. The individual drumlins are generally small. 20 to 60 m in length. 10 to 30m in width, and about 3 to 5m high.

The surface of Sléttjökull is clean compared with surfaces of outlet glaciers from the southernpart of Mýrdalsjökull. which are partly covered by dark, fine-grained material. probably of volcanic or aeolian origin. melting out fromen glacial debris bands 10 to 100 mm thick. On the surface of Sléttjökull, only two conspicuous debris bands of this type can be seen. Most of the debris in Sléttjökull is concentrated in aglacier sole 20 to 50 mm thick. As there are only few and small nunataks on Sléttjökull, almost all debris in this part of Mýrdalsjökull appears to be Sub glacially derived, with the exception of the debris bands mentioned above. Only one debris layer was found along the glacier front, at the sole. No signs of folding were observed, and the basal debris layer was coherent, with no major changes of thickness, even where ice movement was over sub glacial obstructions such as the small drumlins mentioned above.

The nature of the topography of the bed of Sléttjöku1l is unknown, but the almost horizontal ground surface exposed by the current retreat probably continues for some distance underneath the glacier. The uniform overall surface form of Sléttjökull probably reflects a relatively smooth bed; at some places, crevasse patterns are suggestive of isolated SW-NE ridges, probably of volcanic origin.

Debris in the basal transport zone

The ground moraine beyond the margin ofSléttjötlkul1 appears to be composed of very coarse rock particles, generally with a mean diameter of 10 to 150 mm(Fig. 2). However, vertical sectionsat different places in the ground moraine landscape showed that the coarse particles always form a distinct surface layer (Fig. 3), with a considerably finer-grained till below. This till is interpreted as a lodgement till because of the presence of a variety of small-scale deformations(Reference KrügerKrüger 1979: 332-334, Reference KrügerKrüger and Humlum, inpress). Only occasional larger rock fragments are found in this till.

Fig. 2. Glacier front of Sléttjökull, July 1979, to east. Stones and boulders cover surface of ground moraine. Notice spade for scale.

Fig. 3. Vertical section in ground moraine infront of Sléttjökull. A coarse surface pavement of stones and boulders covers a fine-grainedlodgement till.

The coarse surface layer is not a lag accumulation formed as fines are washed or blown away after deglaciation (Reference Boulton and DentBoulton and Dent 1974).This is shown by detailed observations along the present terminus, at the junction of ice-covered and ice-free areas (Fig. 4), where the coarse rock particles are seen to be melting out from the lower most glacier ice. Furthermore, in gullies cut into the glacier terminus by supra g1acia1 melt-water streams, similar particles can be seen in the basal transport zone (Reference BoultonBoulton 1978), often in traction against the glacier bed (Fig. 5). The coarse surface layer could not result from washing fines away during the summer ablation periodin a narrow gap between the glacier ice and the bed, because the ice along the margin of Sléttjökull was observed to be in constant close contact with the soft till beneath. The surface layer thus appears to be the result of sub- orenglacial processes, which are probably not unique to Sléttjökull, as the author has observed similar surface layers along the margin of some temperate valley glaciers in south Norway.

Fig. 4. Detail of glacier front of Sléttjökull.Coarse particles are seen melting out from lower most ice. 0.4 m rule is shown for scale

Fig. 5. Basal transport zone in vertical section. Ice movement from right to left.Several large particles are present in lower most glacier ice, overlying fine-grained lodgement till.

Samples from the basal transport zone

Exposures along erosional gullies at theterminus of Sléttjökul1 reveal that the glacier ice is generally clean, with almost all debris concentrated in a glacier sole 20 to 50 mm thick. To study this debris, five samples of 4.9, 5.4, 6.6, 7.5, and 4.8 litres were collected from the glacier sale, along a 4 km^-long section of the glacier front. The ice was melted and the transcomprised about 15% to almost 31% by volume(15.2%, 22.4%, 24.1%. 25%, 30.7%), some what lower than preliminary estimates.

The debris isolated from the basal transport zone is dominated by particles with diameters ranging from 16 to 128 mm (-4 to -7Φ)(Fig.6 and Fig.7), corresponding to those in thecoarse surface layer in the ground moraine(Fig. 2). Particles finer than 1 mm contributeless than 0.1% by weight to the debris content inthe collected samples. This contrasts with the texture of the lodgement till below the surface layer, where particles finer than 1 mm usually make up about 70 to 75% (Reference Boulton and DentKrüger and Humlum, inpress).

Fig. 6. Size frequency diagrams for debris in basal transport zone of Sléttjökull.

Fig. 7. Basalt fragments found in a 5.4 litresample collected from basal transport zone of Sléttjökull

For three of the samples, the form of the largest particles was determined according to the classification of Reference ZinggZingg (1935), and the results are presented in Table I. All samples investigatedappear to be dominated by cuboid particles; blades are rare, while rod- and dish-shaped particles are more frequent.

Table I Particle Form After Reference ZinggZingg (1935) Forthree Samples From The Coarse Surface Layer On Ground Moraine Beyond Sléttjökull

Several of the larger particles isolated from the samples showed striae and abrasional facets. To investigate the relation of these larger particles, three areas of 0.6 x 0.5 m² were selected at random along the study area, just outside the ice-covered section, as shown in (Figure 4) Here the orientation of large particles in the surface layer are thought to correspond to the true orientation in the glacier sole, as detailed observations of particles melting slowly out from the basal ice(Fig. 4)revealed only a small reorientation during this process This is probably a consequence of many particles in the basal transport zone being in contact with the glacier bed. About 20% of the particles >25 mm (b-axis) in the coarse surface layer showedstriated surfaces, most striations being on thelower surface (Table II).It follows that mostof these particles did attain a relatively stable orientation while in traction against the glacierbed. On the other hand, particles with striationson both the upper and lower surface have probably rotated at least once during transport in the basal zone.

Table II Striations On Particles In Threesamples From The Coarse Surface Layer Onground Moraine Beyond The Margin Ofsléttjökull

The angularity of particles isolated fromthe basal transport zone appears to be rather uniform, approximately sub angular according to the visual classification scale of Reference PowersPower(1953).

Fabric patterns

Preferred orientation of particles in the coarse surface layer was investigated by macro-fabric analysis. Only two-dimensional (horizontal)data are shown here, as the vertical component may be reoriented during melt-out.All analyses were done on freshly deposited material, with a maximum distance to the glacierterminus of 3m, corresponding to the distance that the glacier margin has receded during the ablation season.

Four typical horizontal fabric patterns are shown in (Fig. 8) as rose diagrams, one (extremeright) for rod-shaped particles (Reference ZinggZingg 1935), and three for particles of all shapes. Only particles longer than 15 mm (a-axis) were measured. The analyses generally show a some what dispersed pattern, but at the same time one or two density peak(s) oblique to the flow direction

Fig. 8. Horizontal rose diagrams for particleslonger than 15 rom in surface pavement on ground moraine at Slétjöku11. Diagram to right isfor rod-shaped particles only, and other diagrams are for particles of all shapes. Ice movement is shown by arrows. Upper diagrams are prepared with angular data grouped in 5°intervals, while lower diagrams are contoured at one standard deviation for a random distribution around the mean frequency E, using modified procedure of method proposed by Reference KambKamb (1959) for equal-area nets. Deviations which exceed 2 σfrom E, and which are considered significant, are shown in black. Furtherdiscussion in text.

Obviously it is desirable to define important statistical characteristics of these particular data populations, to compare them with other angular popu1ations, e.g. the orientation of partic1esin other till types. However, standard statistical tests unfortunately imply a symmetrical unimodal density function for a population ofdensity data, commonly the circular normal distribution(see e.g. Reference MardiaMardia 1972 or Reference TillTill 1974). The fabric analyses in (Fig. 8) are represented by nonsymmetric, irregular density functions, andsegregating the measurements into single modal groups on a visual basis for individual analysis(Reference TannerTanner 1955, Reference Tanner1959) is not considered possible. Neither can the numerical technique suggested by Reference Jones and JamesJones and James (1969) be used in this particular case because of the very complicated fabric pattern. Moreover, the rotational vector method(Reference MarkMark 1971) as well as the eigenvalue approach(Reference MarkMark 1973), are not suitable for analysis offabric patterns as shown in (Fig. 8) for the samereasons. Finally, the chi-square test cannot be used, as a wide range of X ² values can be calculated for one sample, depending on the choice of sectors into which the data are grouped(Reference Ballantyne and CornishBallantyne and Cornish 1979).

Therefore, in this study, a more graphic approach has been used, based on a modification of the contouring procedure suggested by Reference KambKamb(1959) for three-dimensional nets. The rose diagrams are contoured by a counter of angular size A, so chosen that, if the population of orientation data lacks preferred orientation, the numberof observations E expected to fall within the often rise above the background noise.counter is three times the standard deviation ofthe number of observations n, that will actually fall within the angular sector under random sampling of the population. Observed densities that exceed E by more than twice the standard deviation for random orientation are then likely to represent statistically significant preferred orientations, particularly if the significantly higher or lower densities are clustered in one portion of the diagram (cf. Reference KambKamb 1959:1908). Observed densities are then contoured in intervalsof σ, the expected density E for no preferredorientation being 3σ. Following Reference KambKamb (1959), for a counter of angular size A, expressed as its fraction of 2Π, we find that, for a population with out preferred orientation and of size N,

where E = NA. If σ/E = 1/3, it is then possibleto calculate the angular size A of the counter fora population with N observations. From this contouring procedure, densities that are probably significantly high or low can be distinguished from densities that are not. However, the analysis would need to be carried further to give levels as noted by Reference KambKamb(1959: 1909), and in somecases the number of standard deviations above or below the mean E, needed to ensure a significantdeviation, may be larger than the 2σ used at first in this study (see also Reference Dudley, Perkins and GineDudley and others 1975: 688 for further discussion).

Returning to (Fig. 8), the oblique density peaks in the contoured fabric diagrams for particles in the coarse surface layer are seen to deviate about 2σ from the mean density E. It is therefore probable that oblique/diagonal density peaks represent a significant feature for rock particles in the surface pavement, and following the argument presented above, also for rock partic1es in the basal transport zone. Significantly low densities are usually found around the direction transverse to the ice flow. More workis needed on this subject, and the proposed hypothesis should be tested by field work onother glaciers.

Four typical till macrofabric analyses forrod- and blade-shaped particles from lodgement till in the ground moraine of Sléttjökull are shown in (Fig. 9). All these analyses show apronounced longitudinal density peak, with notendency for oblique peaks to occur.The adopted significance level of two standard deviations over the mean density E is clearly exceeded, and the longitudinal density peaks are highly significant. The fabric pattern characteristic for rock particles in the basal transport zoneand for those in the lodgement till appears to beso different that they probably represent statistically distinct populations.

Fig. 9. Horizontal rose diagrams for b1ade-androd-shaped particles 6 to 60 mm long from lodgement till at Sléttjöku11. Ice movement isshown by arrows

To investigate further if the apparent oblique density peaks are inherited from some englacial deformation episode, macro fabric analyses were carried out at one locality on rod-shaped particles(a) in glacier ice 2 to 5 m above the glacier-bed interface, (b) in the basal transport zone (represented by newly deposited particles just outside the glacier margin), and (c) in the lodgement till 0.2 m below the glacier-bed interface(Fig. 10). This showed that rock particles in englacial transport, as well as particles inthe lodgement till, displayed pronounced and statistically significant longitudinal density peaks. In the case of the lodgement till population a small transverse peak also appears. Incontrast, particles representing the basal transport zone displayed the familiar dispersed pattern known from (Fig. 8), with a tendency for oblique density peaks. to appear. This preliminary result suggests that major shifts occur in what may be called the stable or preferred orientation, when a rock particle initially suspended in glacier ice comes into the zone of basal transport, and again when it is eventually lodged by friction aginst the glacier bed. The difference between the fabric pattern for particles in the basal transport zone and those in the underlying lodgement till suggests, furthermore, that subglacial deposition at Sléttjökull by slow melting of layers of stagnated debris-rich basal ice as envisaged by Reference Harrison and Harrison (1957) and Reference LavrushinLavrushin (1971), is no realistic alternative to the lodgemen thypothesis presented earlier in this paper

Fig. 10. Horizontal rose diagrams for rod-shaped particles in: (A) englacial position 2 to 5 m above glacier base, (B) basal transportzone, and (C) lodgement till 0.2 m below glacier base. Ice movement is shown by arrows

Discussion

The unusual size distribution of debris inthe glacier sole and in the surface layer infront of the glacier may be explained in a⁺ least two ways. Firstly, the population could more or less correspond to an original population of rock fragments loosened by erosion from the underlying bed rock some where up-glacier, and transported englacially toward the glacier terminus, so that particle size has not changed significantly. This could explain, why there are so many large particles in the samples(Fig. 7) and only a relative small amount of fines. Secondly, some type of sorting mechanism at the glacier-bed interface, e.g. selective deposition, could be responsible.

Taking the englacial transport hypothesis first, the map of Mýrdalsjökull(Fig. 1) should be considered. Because only a few small nunataks protrude above the ice cap, virtually all debris present in Sléttjökull must therefore be derived subglacially. The debris source is likely to be under the central part of the ice cap because such areas are generally recognized as sites of net erosion (Reference WhiteWhite 1972, Reference BoultonBoulton 1979). Non central areas of Sléttjökull have probably been sites of net deposition as reflected in the nearly horizontal ground surface consisting of loose sediments that seems to extend for some distance underneath the glacier, while higher-lyingand more rugged ground probably dominates under the central part of Mýrdalsjökull. This picture is supported by measurements of the ice thickness published by Reference RistRist (1967). The distance from the central part of the ice cap to the marginof Sléttjökull is 12 to 15 km (Fig. 1), so, for the present analysis, a transport distance for the debris of the order of 10 km may be assumed.Taking a relatively high ice velocity of 0.025 km a^-1, rock particles may have been in englacial transport for about 400 a since they were eroded from the glacier bed. During this period a considerable amount of ice has probably been melted from the glacier base because of frictional and geothermal heat. Using a geothermal heat flux of 0.21 W m^-2 (Reference LeeLee 1970) and amean basal shear stress of 10⁵ N m^-2, about 0.03 m a^-1 ice would melt from the glacier base per year, assuming that the ice is and has been temperate. During a period of 400 a, this would result in a loss of 12 m of glacier ice from the glacier base. This estimate is probably conservative, as the geothermal heat flow quoted aboverepresents a mean value for a region 1arger than Mýrdalsjökull, and the local heat flow near Katlamay be higher. However, even so, it is probable that an ice column of 10 to 15 m may have been lost from the glacier base while the rock particles were transported to the glacier terminus. This will tend to bring englacial particles into contact with the glacier bed, unless they are suspended in the ice more than 10 to 15 m above the glacier sole. Because Sléttjökull appears tobe a temperate glacier, particles in excess of 15 m from the bed appear unrealistic for debris derived from the glacier bed because of the absence of a subglacial freeze-on mechanism(Reference Boulton, Price and SugdenBoulton 1972). All debris eroded from the glacier bed will probably be held effectively in the basal transport zone. The hypothesis explaining the characteristics of the particle population as a result of englacial transport all the way to the glacier terminus thus appears unrealistic. Independently of this, the angularity of rock fragments and the presence of abrasional facets and striae on fragments suggest that the rock particles must have been in basal transport for some time.

The conclusion must be that the rock particles in the basal transport zone at the margin of Sléttjökull have managed to avoid deposition, even though, in the basal zone, they have passed through a zone of net subglacial sedimentation, probably to some extent parallel to the ice flow lines. The particle population is dominated by particles 10 to 150 mm in size, containing only few fine and few very coarse (>150 mm) particles.It is apparent, therefore, that particles in the basal transport zone represent an accumulation gradually formed by selective subglacial deposition, during which sorting by size occurs since large, as well as small, particles tend to be lodged more readily than those of size 10 to 150 mm (Fig. 11). As small particles are continuouslyproduced by abrasion of larger particles intraction against the glacier bed, the lodgement till below is naturally dominated by fines with only few large blocks.

Fig. 11. Idealized section of Sléttjökull, showing proposed gradual development of particleresidual due to selective lodgement of very large as well as very small particles. Corresponding deposition-transport pattern isshown below in distance-size diagram. D is diameter of rock particles in basal transport zone.

The fabric analyses in (Fig. 10) suggest that, besides depending upon particle dimension, lodgement will depend upon particle orientation.More specifically, this analysis suggests that when particles are brought into the basal transport zone due to basal melting, particles with longitudinal orientation tend to lodge against the glacier bed, where as particles with diagonal/oblique orientation tend to remain inbasal transport.

Two final remarks should be made. Firstly, I suggest that studies of particle residuals, as described in this paper, may provide field data suitable for testing theoretical models of sub glacial deposition and erosion (e.g. Reference Boulton and CoatesBoulton 1974, Reference Boulton, Wright and Moseley1975, Reference HalletHallet 1979).Secondly, it should be noted that if the surface layer of coarse particles in front of Sléttjökull were to be buried later beneath a subsequent lodgement till, the layer of coarse particles could resemble a glacial pavement between two tills. In as much as glacial pavements are usually assumed to arise from either selective subglacial erosion of an older till during a period of maximum glaciation (Reference GrippGripp 1973, Reference Gripp1974), or lag deposit created by sub aerial erosion and later overridden by glacier ice(Reference FlintFlint 1971), it is important to stress that the pavement observed at Sléttjökull is a special type of melt out till. This pavement with textural characteristics, probably developed by sorting caused by selective subglacial deposition, is currently being deposited sub aerially as the glacier retreats.

Acknowledgements

I appreciated greatly discussions withJohannes Krüger, leader of the Danish Mýrdalsjökull project, and Henrik Højmark Thomsenon matters concerning glacial deposition anderosion. Johannes Krüger also provided the fabricanalyses used in(Fig. 9).The Science ResearchCouncil of Iceland is thanked for permission towork at Mýrdalsjökull, as well as the Danish Natural Research Council, who provided a grant which made the investigations possible.