Introduction
Here we present data from pits and from 100 m cores drilled by the Polar Ice Coring Office (PICO) on the Siple Coast of West Antarctica, at the Upstream Β camp (UpB) (drilled 1984–85), and at the Ohio State University’s North Camp on ridge BC (BC) (1985–86; Fig. 1, Table 1). The UpB core melted partially during shipment, so only field data are available; the BC core was sampled more fully in the field and has been re-sampled in the laboratory. The methods used are described by Alley (unpublished).
Fig. 1. Location map. UpB and BC (labeled UpBC) are shown. Modified fromReference Shabtaie and Bentley Shabtaie and Bentley (1987).
SITE CHARACTERISTICS
1 Locations and elevations from Whillans and others (1987).
2 Temperature at UpB (personal communicatation from S. Shabtaie, 1985).
Fig. 2. Depth-density plot for pits at UpB and BC. Densities indicated by open circles were calculated from mass differences between adjacent samples including and excluding the layer in question. The depth-hoar layer from each autumn is indicated by its year of deposition: ’79 stands for 1979 and ’85 stands for 1985. No density was measured for the BC 1982 hoar layer, but it appeared to be similar to hoar layers above and below it.
Pit Observations
Detailed pit studies show a well-developed annual cycle at UpB and BC, marked by thick (≈50 mm), autumnal depth-hoar layers (Reference GowGow 1965; Alley, in press). This annual signal is also evident in depth-density profiles of the pits (Fig. 2), although grain-size data are required in order to remove slight ambiguities in the annual signal as seen in densities.
The densities shown in Figure 2 were measured with standard snow-density tubes(≈57.5 mm inside diameter), which had been inserted horizontally with regard to stratification. The average accumulation rates determined from the interpreted depth-density profiles (Table I) agree closely with rates calculated from identification of fall-out horizons from atmospheric testing of nuclear weapons (Reference Whillans and BindschadlerWhillans and Bindschadler 1988, this volume), which tends to verify the interpretation of Figure 2.
Densities of the autumnal depth-hoar layer and the densest (fine-grained) layer deposited during the previous year are listed inTable II for both sites. Table III shows the densificatio rates for these depth-hoar layers and fine-grained layers, determined by least-squares regression of the combined data set for both sites, as well as the rate at which the density range changes. It is clear that the density of depth hoar increase rapidly with age, whereas that of fine-grained firn increases more slowly, causing the density range to decrease with increasing age. This indicates that any net mass loss from firn layers to the free atmosphere is significantly less than the densification rate for all types of firn and for all depths considered here (≥0.2 m), and that the low densities of depth-hoar layers originate in the top 0.2 m and thus in the first year following snow deposition (Alley, in press).
Depth-density data from pits
ρh and ρf are densities of depth hoar from autumn of year (A.D.) indicated and of densest fine-grained firn in preceding year respectively, and ∆=∆f–∆h. Densities are in kg m−3.
DENSIFICATION RATES IN UPPER 2 M ON SIPLE COAST
“Conidence level” is the statistical likelihood that the densification rate rate exceeds zero.
Fig. 3. Accumulation rates for UpB and BC, calculated from Figure 2.
Annual accumulation amounts from Figure 2 are plotted in Figure 3. Considerable inter-annual variability is evident, with a standard deviation of about 22 mm a−1 ice at both sites. For the accumulation rates at these sites, Reference Giovinetto and MellorGiovinetto (1964) estimated total inter-annual variability of about 30 mm a−1, which is in reasonably good agreement with the present figure.
Depth-Density Profiles
Depth-density data for the cores and pits are shown in Figures 4–6. Isostatic weighing (Reference GowGow 1968) was not available in the field at UpB, so density measurements were terminated near the firn-ice transition, where errors in the volume-mass method became large compared to physical variations. Figure 6 shows the smoothed depth-density profiles drawn through the data by inspection. Figure 7 shows the densification rates calculated from Figure 6 and the stress on intergranular necks, which causes densification (Reference Alley, Bolzan and WhillansAlley and other 1982). Both here and below, ages were calculated from the depth-density profiles and the accumulation rates in Table I, which were assumed to be constant. Effects of vertical strain are small (<1% at 40 m) and similar for both cores, and have been ignored.
Fig. 4. Depth-density data from UpB. Symbols for Figures 4 and 5 are as follows: point-count densities are shown by ×, volume-mass densities on samples ≤0.1 m long are shown by +, volume-mass densities on samples >0.1 m long are shown by solid circles, and densities from isostatic weighing in isooctane (Reference GowGow 1968) are shown by triangles.
Fig. 5. Depth-density data from BC. Symbols are defined in the caption to Figure 4.
Fig. 6. Smoothed depth-density cruves for UpB and BC.
Fig. 7. Densification rate
versus density (ρ) for UpB and BC. Stresses from overburden pressure on intergranular necks in bars (1 bar = 100 kPa) and depths in meters are indicated.
At densities >550 kg m −3 UpB densifies significantly more rapidly than BC; between 410 and 550 kg m−3 UpB seems to densify more rapidly, but the difference falls within the scatter of data points and thus is not significant. Pore close-off (830 kg m−3) is reached at a depth of 33 m at UpB but not until 52 m at BC. From Reference GowGow (1975), the BC profile is normal for the temperature and accumulation rate there, but densification is anomalously rapid at UpB.
Rapid densification with depth is favored by high temperature and low accumulation. Regional gradients in temperature (Reference Shimizu and MellorShimizu 1964, Reference Robin.deRobin 1983) and accumulation (Whillans and Bindschadler 1988, this volume) are zero or small for 100 km up-flow of UpB on the ice stream and farther into the catchment, and the temperature profiles at UpB (measured to 20 m depth; personal communication from Reference Shabtaie and BentleyS. Shabtaie, 1987) and BC (this study) are within 0.1°C of each other at 10 and 20 m. Anomalously rapid densification is evident in firn that originated only 30 km from UpB; thus, changes in temperature and accumulation rate along the flow line cannot account for the rapid densification.
Reference Zumberge, Giovinetto, Kehle and ReidZumberge and others (1960), Reference Crary and WilsonCrary and Wilson (1961), and Reference GowGow (1968) presented evidence that large horizontal stresses cause accelerated firn densification. At UpB, Reference Vornberger and WhillansVornberger and Whillans (1986) observed large longitudinal strain-rates and suggested that longitudinal deviatoric stresses exceed 200 kPa in tension, with transverse compression almost as large. In ordinary, low-density firn, densification is dominated by linear-viscous grain-boundary sliding (Reference AlleyAlley 1987a), which is independent of effective stress; however, at densities above about 550 kg m−3, power-law creep begins to dominate densification and increases with the square of the effective stress (Reference Maeno and EbinumaMaeno and Ebinuma 1983). Rapid densification at UpB becomes evident in a region where neck stresses are about 100 kPa (Fig. 7), where the density is about 550 kg m−3 and power-law creep should dominate. An additional longitudinal deviatoric stress of 200 kPa acting across intergranular necks then would increase the rate of densification and would lower the density at which power-law creep becomes the dominant mechanism of densification. It thus seems likely that the rapid densification at UpB is the result of the softening effect of the large longitudinal deviatoric stresses in the ice stream.
Stereology
Firn connectivity
Comparison of data from UpB and BC with data from Site A, Greenland (−29.5°C, 0.29 m a−1 ice; Reference AlleyAlley and Koci 1988), confirms earlier observations (e.g. Reference FuchsFuchs 1959) that density is a good estimator of firn connectivity. Here we measure connectivity in two ways: β, the average fraction of the total surface area of grains involved in bonds (i.e. ice-ice contact) as opposed to ice-air contact, and n 3, the average number of bonds per grain (co-ordination number; Reference AlleyAlley 1987b). These quantities are plotted against density in Figures 8 and 9.
Fig. 8. Surface fraction of average grain involved in grain bonds (β), plotted against density (ρ). Circles represent data from UpB and BC, triangles represent data from Site A, Greenland, solid symbols represent fine-grained and medium-grained firn, and open symbols represent coarse-grained firn and depth hoar.
Inspection of the figures shows no systematic difference between the Siple Coast and Site A, even though the temperatures, accumulation rates, and other factors are different. (A similar plot that distinguishes between UpB and BC also shows no systematic difference between them.) Moreover, there is no significant difference between coarsegrained and fine-grained firn. Of course, this does not mean that the different sites and firn types are identical, but only that any systematic difference is lost in the measurement and sampling errors. The magnitudes of such errors are discussed by Reference AlleyAlley (1987b, unpublished); the scatter of points at a given density in Figures 8 and 9 provides a reasonable estimate of the random errors involved.
It remains possible that well-developed depth hoar in the upper 2 m differs in connectivity from other firn types. No fine-grained firn exhibits densities as low as the best-developed depth hoar (<200 kg m−3), so comparison is not possible. Furthermore, technical difficulties in sectioning well-developed depth hoar and in measuring its stereological parameters introduce greater uncertainty in the results. In deeper firn, rapid growth of depth-hoar grains by sublimation ceases and the grains become rounded to form coarse-grained firn which plots on the same density-connectivity trends as fine-grained firn. Thus, within our measurement error, density is a good predictor of connectivity in all firn, except perhaps in well-developed near-surface depth hoar.Reference Alley, Bolzan and Whillans Alley and others (1982) described differences in connectivity between samples of coarsegrained and fine-grained firn taken from layers at about the same depth at Dome C, East Antarctica; it is now clear that at least most of those differences can be ascribed to density differences.
Fig. 9. Average number of bonds per grain (n 3), plotted against density (ρ). Symbols are the same as in Figure 8.
Grain-growth rates and textures
Grain-growth data are shown in Figures 10 and 11 for UpB and BC. Grain-size is reported as 3/2 the average cross-sectional area of grains observed on a section plane; 100–200 grains were measured in most cases. Owing to technical difficulties, accurate grain-size data were obtained at UpB only down to 17 m depth. Because the data exhibit wide scatter, the grain-growth rate at UpB is not well determined. To show this, two regression lines of grain-size against age are plotted in Figure 10. The regression line from 4 to 17 m gives a growth rate of 0.0136 mm2 a−1, but elimination of the point at 17 m (which appeared unusually coarse-grained) reduces this to 0.0069 mm2 a−1. For the temperature at UpB, Reference PatersonPaterson (1981, p. 19) predicts a growth rate of about 0.009 mm2 a−1. Data from the upper 2 m were omitted from the regression analysis because they show accelerated growth in response to temperature gradients and wind pumping (e.g. Reference GowGow 1969).
Fig. 10. Grain-size (A) plotted against age for UpB. Regression lnes from 2 to 16m (solid line) and from 2 to 17m (long dashes) are shown.
Fig. 11. Grain-size (A) plotted against age for BC. The regression line from 2 to 90 m is shown.
At UpB, pore close-off occurs at about 33 m depth. Even as shallow as 28–30 m, horizontal thin sections reveal a preferred elongation of pores. Below this depth, grains begin to develop a shape elongation parallel to the bubble elongation, strain shadows appear, and the grain shapes become interpenetrative (that is, grains become branched and interlocking rather than convex and compact). Inspection shows that grain growth also accelerates below about 30 m, although quantitative data are not available. A tracing of part of a typical horizontal section from 73.1 m is shown in Figure 12a; this should be compared with Figure 12c, which shows a normal, unstrained grain-growth texture from 109.1 m depth at Site A, Greenland, with equant grains and a relatively narrow grain-size distribution.
At Little America V, Reference GowGow (1970) reported development between about 50 and 150 m of textures similar to those we see at UpB, and proposed that these textural changes resulted from large horizontal stresses there. These textures develop between 30 and 70 m at UpB, which may indicate that stresses at UpB are larger, or that the features at Little America V developed in a high-stress region up-stream and then were buried by accumulation in a lower-stress region closer to the drill site.
The grain-growth data from BC also show some complexity. The least-squares fit to data between 4 and 90 m (Fig. 11) gives a growth rate of 0.0085 mm2 a−1, in good agreement with the expected value of about 0.009 mm2 a−1 for the temperature at BC (Paterson 1981, p. 19). However, inspection of Figure 11 suggests that the grain-growth rate is not a constant but increases with age. This is especially true if the data from 95–100 m are included. The deeper data show a doubling of grain-size over only about 5 m (about 60 years) for a growth rate of about 0.14 mm2 a−1 — a growth rate almost as large as that reported from highly strained ice at Little America V (Reference GowGow 1970).
Strain shadows, elongated, oriented bubbles, and other indicators of high stresses do not occur in the ice sampled at BC. However, whereas the upper part of the BC core exhibits a narrow grain-size distribution similar to that from Site A, the rapid grain growth below 90 m at BC is accompanied by development of a bimodal texture, in which a few very large grains are surrounded by smaller grains (Fig. 12b). Such textures are observed during secondary recrystallization in metallurgy (e.g.Reference Verhoeven Verhoeven 1975, pp. 354–356), when a few large grains grow at the expense of smaller, strained grains or at the expense of smaller grains for which grain growth has been stopped by microparticles or porosity. Perhaps the most likely explanation at BC is that the large grains are strain-free and have grown at the expense of smaller, strained grains, although strain has not been sufficiently rapid to cause bubble elongation or prominent strain shadows. The high temperature and low accumulation rate at BC may have contributed to the shallow depth at which this complex texture occurs.
Fig. 12(a). Tracing of thin section from 73.1 m depth at UpB. The section was cut horizontally. Bubbles in the section and within or touching the large grain in the left-center of the figure are shown; all other bubbles are omitted.
(b). Tracing of thin section from 99.2 m depth at BC. The section was cut vertically, and the scale bar marks the bottom of the section. All pores have been omitted, but occupied about 2% of area.
(c). Tracing of thin section from 109.1 m depth at Site A, Greenland. The section was cut vertically, and the scale bar marks the bottom of the section. All pores have been omitted, but occupied about 3% of area.
Fig. 13. Depth-temperature profile at BC. Points at 40 and 50 m were measured twice in order to assess scatter in the data.
Temperature-depth profile
The temperature-depth profile of Figure 13 was collected in the BC hole by B. Koci and W. Boller of the Polar Ice Coring Office (PICO), using the PICO temperature-logging system. The hole equilibrated for more than 24 h before logging; experience with the same drill and logging system in Greenland showed that this equilibration time was long enough to obtain temperatures within ±0.1°C (personal communication from B. Koci, 1986).
The measured temperature gradient in ice from 20–100 m is high (≈1°C/75 m), indicating either a large steady heat flux, or strong non-steady effects such as a recent surface cooling or ice-sheet thinning. The nearby J9 core indicates relatively stable climate over the last 2500–3000 years (Reference Grootes and StuiverGrootes and Stuiver 1986), and melt events are more common in the last 500 years than in the previous 500 years (see below), so recent cooling seems unlikely. Longer-term changes in climate and thickness may be significant under certain circumstances, but cannot be estimated well because surface-temperature and ice-thickness histories are poorly constrained; oxygen-isotopic measurements now in progress on the core should provide useful data. From Reference RitzRitz (1987), Reference WaddingtonWaddington (1987), and our calculations it is likely that the heat flux at BC is within 10–20% of steady values.
Assuming that the heat flux is steady, a calculation following Reference Robin.deRobin (1955) from 80 m to the bed at 1000 m (Reference Shabtaie and BentleyShabtaie and Bentley 1988, this volume), using the thermal parameters from Weiler and Schwerdtfeger (1977) corrected to an average temperature of −1.3°C, gives a basal heat flux of 0.084 W m−2 (2.0 heat-flow units or HFU) and a basal temperature of −1.3°C. The pressure-melting point is about −0.9°C (Reference HobbsHobbs 1974, p. 35); considering possible errors, the basal temperature is at or just below the melting point.
Internal deformation, the product of ice velocity and basal shear stress, accounts for about 0.004 W m−2 (0.1 HFU) (velocity ≈3 m a−1 (Reference Whillans, Bolzan and ShabtaieWhillans and others 1987), shear stress ≈36 kPa (Reference Shabtaie and BentleyShabtaie and others 1987)), leaving a basal flux of about 0.080 W m−2 (1.9 HFU). Given the relatively constant ice thickness and surface slope over the short drainage basin leading to BC (Shabtaie and Bentley 1988, this volume), we consider it unlikely that the heat flux arises from basal freeze-on, suggesting that this basal flux is geothermal. By comparison, the geothermal flux at Byrd Station is about 0.071 W m−2 (1.7 HFU), if basal freeze-on is not occurring, from the measured basal flux of about 0.075 W m−2 (1.8 HFU), corrected for a heat of sliding of 0–0.013 W m−2(0–0.3 HFU), with the lower end of the range being more likely. (Basal shear stress ≈50 kPa and basal velocity = 0–8 m a−1, with the lower end more likely (Reference WhillansWhillans 1977).) A high geothermal flux at BC is not surprising. The Siple Coast has been proposed as an area of active rifting (Reference DaveyDavey 1981), and such regions typically have heat-flow values near 0.084 W m−2 (2 HFU; Reference Lachenbruch and SassLachenbruch and Sass 1978).
Melt chronology
Significant melt features in the UpB and BC cores are shown in Figure 14. If melt water percolated down in the firn before refreezing, then the ages of the melt events are slightly less than the ages of the surrounding firn or ice shown in Figure 14; percolation to a depth of 1 m would cause an error of about 5 years.
Fig. 14. Melt lenses in the UpB and BC cores. Only features that clearly represent melting (lenses, glands, and layers >2 mm thick) are shown. Major events (>20 mm thick) are shown by heavier lines.
Over the last century, melt events seem to correlate well between the two cores. Melt events average about a 50 year spacing at BC back to A.D. 1530 (57 m), but no definite evidence of melt was observed in the 500 years before that. Although it is more difficult to recognize melt features in ice than in firn (especially given the somewhat variable core quality in the deeper ice), the lack of older melt features probably represents a real change in temperature, circulation patterns, or ice-sheet elevation. At UpB, ice as recent as AD. 1750 (30 m) originated at significantly higher elevation in the catchment, so the lack of older melt features at UpB may reflect conditions there. No melt features were observed in the Byrd Station core (except for melt lenses associated with volcanic ash) in the catchment area of Ice Stream D, although iced crusts <2 mm thick were common (Reference GowGow 1968).
Conclusions
Pit and core studies at UpB and BC on the Siple Coast of West Antarctica have yielded a number of interesting results. Accumulation rates are near 0.09 m a−1 ice, and mean annual temperatures are near −26.5°C. Strata in firn record an annual signal, the low densities of depth hoar originate in the first year following deposition, and depth hoar densifies more rapidly than other types of firn. Density of firn is a good predictor of connectivity of grains for all firn types. Densification at UpB is probably enhanced by strong longitudinal deviatoric stresses there. High stresses affect grain-growth rates and textures below about 30 m at UpB, and the accumulated effects of stresses may explain anomalous textures and enhanced grain-growth rates below 95 m at BC. Geothermal flux at BC is probably near 1.9 HFU. Melt events occur about once every 50 years, and correlate well between UpB and BC.
Further studies are being conducted on the BC core, but melting during transport destroyed the usefulness of the UpB core. It is clear that more and deeper cores on ice streams and ridges will be required in order to provide further information on the history and behavior of ice on the Siple Coast.
Acknowledgements
We thank W. Boller, B. Koci, K. Kuivinen, and J. Litwak of the Polar Ice Coring Office, Lincoln, Nebraska, for field work, D. Susman for laboratory work, A.J. Gow for helpful comments, and A.N. Mares and S.H. Smith for manuscript and figure preparation. This research was funded by the U.S. National Science Foundation, Division of Polar Programs, under grants DPP83-15777 and DPP85-21038 to the University of Wisconsin Geophysical and Polar Research Center. This is contribution No. 481 of the Geophysical and Polar Research Center, University of Wisconsin-Madison.
