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Table 1
Input parameters for thermal evolution modeling.
Parameter | Value | Description |
---|---|---|
Material properties | ||
ρgra (kg m−3) | 2300 | Average graphite density (Sect. 2.1) |
ρsil (kg m−3) | 3300 | Average enstatite density (Sect. 2.1) |
ρiron (kg m−3) | 9000 | Average iron density (Sect. 2.1) |
CP,gra (J K−1 kg−1) | 700 | Specific heat of graphite (Boylan 1996) |
CP,sil (J K−1 kg−1) | 1250 | Specific heat of silicate (Schubert et al. 2001) |
CP,iron (J K−1 kg−1) | 550 | Specific heat of iron (Schubert et al. 2001) |
αgra (K−1) | 3 × 10−5 | Thermal expansivity of graphite (Morgan 1972) |
αsil (K−1) | 3 × 10−5 | Thermal expansivity of silicate (Schubert et al. 2001) |
kgra(T) (W m−1 K−1) | 42327T−1.035 + 0.00103T | Thermal conductivity of graphite (Hofmeister et al. 2014, Graphite AXM, Table 1) |
ksil (W m−1 K−1) | 5 | Thermal conductivity of silicate (Schubert et al. 2001) |
Egra (kJ mol−1) | 209 | Activation energy of graphite (Wagner & Driesner 1959) |
Esil (kJ mol−1) | 300 | Activation energy of silicate (Schubert et al. 2001) |
Agra,min. (109 Pa s) | 5.3 | Rheology prefactor for graphite (min. shear modulus, Cost et al. 1968) |
Agra,max. (109 Pa s) | 185 | Rheology prefactor for graphite (max. shear modulus, Min & Aluru 2011) |
Asil (109 Pa s) | 160 | Rheology prefactor for silicate (assuming η (1600 K) = 1021 Pa s) |
Model properties | ||
Tsurf (K) | 700 | Planet surface temperature (Kepler-37b, Barclay et al. 2013) |
T0,lid-bot (K) | 1700 | Initial temperature at the bottom of the lid |
T0,man (K) | 2000 | Initial mantle temperature |
T0,core (K) | 3000 | Initial core temperature |
H0 (10−12 W kg−1) | 34.5 | Initial internal heating rate of the mantle (Turcotte & Schubert 2002) |
τ (Gyr) | 2.95 | Characteristic decay time of radioactive (Turcotte & Schubert 2002) |
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