Introduction
The average size of ice crystals increases with time (depth) after deposition on a polar snow field. The in situ growth processes of crystals from various sites have been measured and are discussed in terms of the temperature regime according to
where S and S 0 are crystal areas at a specific depth and at the surface, respectively; Τ is temperature; t is time; R is the gas constant; k 0 is a constant; and Q is the activation energy (Reference GowGow, 1971). Under dry-snow conditions, a typical value for density of near-surface snows is between 0.3 and 0.4 g cm−3. Ice grains formed in the upper layers usually settle or pack at a depth of 10–15 m below the snow surface, and at a a density of about 0.55 g cm−3. Below this, the density increases and firn transforms into ice at a depth of 50–120 m and a density of about 0.8 g cm−3. This metamorphic change with time and depth is a function of mean annual surface air temperatures, stresses, and specific but sometimes varying snow-structure configurations. This study involves the continuous meausurement of crystal size made on two shallow ice cores from Antarctica. Particular attention was paid to the changes occurring in the structure and to metamorphic properties occurring in the firn/ice column represented by each core.
Experimental Method
One ice core (G6) was recovered at 70° S, 40° E, by the JARE-27 team in 1986. Continuous crystal-size measurements were made on samples between the 0.5 m and 100 m depth. The other ice core (NBY-89) was recovered in 1989 at Byrd Station, 80° S, 120°W, by a team from the State University of New York (SUNY) at Buffalo. Annual mean temperature at G6 is −43°C; at Byrd Station it is −28°C. Accumulation rates at G6 and Byrd Station are 8.4 and 11 cm of ice equivalent a−1, respectively.
Each 50 cm long portion of the G6 core was microtomed and the surface was sublimated in the cold room at −20°C until crystal boundary grooves appeared (within a few hours). A linear intercept method was used to measure continuous sizes under a microscope. A preliminary test indicated that the mean crystal size of at least 80 crystals provides a representative average value for each depth level (Reference HoritaHorita, 1992). Crystal area was calculated on the G6 core by using a conversion constant of 1.5 which is the ratio between a two-dimensional diameter and the length between two crystal boundaries along a vertical measuring line (Reference FujitaFujita, 1992). That is, crystal area = 1.5π(crystal size)2/4. Crystal-size measurements on the Byrd core were made by measuring the area of each crystal with a Zeiss Particle Size Counter on a full-scale thin-section micrograph of each thin section measured.
Experimental Results and Discussions
A total of about 70 000 individual crystals was counted from both cores. Grain-size enhancement due to the existence of pore spaces was corrected by using a correction curve obtained as a function of density.
An average crystal growth rate, k0e(−Q/RT) for the G6 core is 1.8 × 10−3 mm2 a−1; this is within 10% of the estimated value of 2.2 × 10−3 mm2 a−1 published by Gow for the deep Byrd ice core (1971). These data are shown in Figure 1. The crystal-size curve in Figure 1 clearly shows two high growth-rate intervals of 3.4 × 10−3 mm2 a−l between the depths of 0.5 and 30 m (Zone 1), and 3.6 × 10−3 mm2 a−1 between the depths of 70 and 80 m (Zone 2). These data are shown in Figure 2. Results also show that the average crystal-size length is almost equal to the ice length which is the length of aggregates of crystals between pore spaces along the measuring line in Zone 1 ( Fig. 3). This result suggests that crystal growth in Zone 1 is controlled by a decrease in pore space, and further suggests that the higher growth rate observed in Zone 1 is caused by sublimation and condensation of water vapor along pore spaces.
The crystal growth rate measured at Byrd Station ( Fig. 4) is 0.0093 mm2 a−1 which is again close to the value (shown as a solid line in Figure 4) published by Gow (1971). Figure 5 shows that the permeability measurements indicate that a much higher permeability value exists in the firn structure down to a depth of about 30 m, suggesting that a vertical, vapor-flow process is taking place in the pore space. These results also imply that crystal growth in the near-surface firn may take place by a sublimation and condensation mechanism (Reference ColbeckColbeck, 1983). Below the depth of Zone 1 (above 30 m), grain-boundary migration may be responsible for the crystal growth process which tends to minimize the crystal-boundary area.
The reason for the higher growth rate in Zone 2 is not yet clear, but this depth interval corresponds to the pore close-off zone at G6. The in situ, non-uniform strain-field would acelerate grain-boundary migration and lower the free energy of the ice crystal, resulting in a higher growth rate.