Table 3
Thermal conductivity, specific heat capacity and fractions used in the model for the compositional species.
| Species | Symbol | Unit | Value | Reference |
|---|---|---|---|---|
| Thermal conductivity | ||||
| H2O (T < 273 K) |  |
W m−1K−1 | 567∕T | Klinger (1980) |
| H2O (T ≥ 273 K) |  |
W m−1K−1 | 0.6 | Ramires et al. (1995) |
| Salts | k1 | W m−1K−1 | 0.5404 | Drisdell (2010) |
| Antigorite | k2 | W m−1K−1 |  |
Grindrod et al. (2008) |
| Annite | k3 | W m−1K−1 | 3.1 | Sturm & Rubahn (2008) |
| Magnetite | k4 | W m−1K−1 | 4.23 − 1.37 × 10−3T | Molgaard & Scmeltzer (1971) |
| Specific heat capacity | ||||
| H2O (T < 273 K) |  |
J kg−1K−1 | 185 + 7.037T | Dorsey (1940) |
| H2O (T ≥ 273 K) |  |
J kg−1K−1 | 4185 | Chase (1998) |
| Salts | cp,1 | J kg−1K−1 | 950 | Stromme (1974) |
| Antigorite | cp,2 | J kg−1K−1 | (0.9 − 6.3T−0.5 − 14600T−2 | Berman & Brown (1985) |
| + 1.91 × 106T−3)104∕4.52 | ||||
| Annite | cp,3 | J kg−1K−1 | 1.95(583.6 − 4.4 × 106T−2 | Hemingway & Robie (1990) |
| − 3420.6T−0.5 + 0.075T) | ||||
| Magnetite | cp,4 | J kg−1K−1 | 586 | Waples & Waples (2004) |
| Intrinsic density | ||||
| Salts | kg m−3 | 1450 | ||
| Antigorite | kg m−3 | 2100 | ||
| Annite | kg m−3 | 2520 | ||
| Magnetite | kg m−3 | 4250 | ||
| Volume fractions for calculation of the dust porosity (relative to the volume of the solid) | ||||
| Salts + ice | v1 | – |  |
|
| Antigorite | v2 | – |  |
|
| Annite | v3 | – |  |
|
| Magnetite | v4 | – |  |
|
| Volume fractions for calculation of the melt porosity (relative to the volume of the solid) | ||||
| Salts + ice | v1 | – | 0.1 | |
| Antigorite | v2 | – | 0.3 | |
| Annite | v3 | – | 0.4 | |
| Magnetite | v4 | – | 0.2 | |
Notes. We note that the thermal conductivity of the sheet silicate biotite varies between 3.14− 5.10 W m−1 K−1 (in-plane) and 0.52− 0.84 W m−1 K−1 (perpendicular to the sheets) (Sturm & Rubahn 2008), and values of ≈ 1.2 W m−1 K−1 have also been reported (Fredlund et al. 2012). As a compromise, we use 3.1 W m−1 K−1. Furthermore, the value of 
varies with the dust/ice ratio: 
for dust/ice = 3∕1 and 
for dust/ice = 1∕1.
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