Open Access
Table F.2
Main model parameters
| Parameter | Description | Value | Reference |
|---|---|---|---|
| Mantle convection | |||
| ρcr | Crust density | 2900 kg m−3 | |
| kcr | Crust thermal conductivity | 3 W m−1 K−1 | |
| km | Mantle thermal conductivity | 4 W m−1 K−1 | |
| ccr | Crust specific heat capacity | 1100 J kg−1 K−1 | |
| Cm | Mantle specific heat capacity | 1100 J kg−1 K−1 | |
| Cc | Core specific heat capacity | 800 J kg−1 K−1 | |
| Racrit | Critical mantle Rayleigh number | 450 | |
| A | Viscosity prefactor | 6.127 × 1010 Pa s | Tosi et al. (2017) |
| E* | Activation energy | 3.35 × 105 J mol−1 | Tosi et al. (2017) |
| a0 | Thermal expansivity coefficient | 2.68 × 10−5 K−1 | Tosi et al. (2013) |
| a1 | Thermal expansivity coefficient | 2.77 × 10−9 K−2 | Tosi et al. (2013) |
| a2 | Thermal expansivity coefficient | −1.21K | Tosi et al. (2013) |
| a3 | Thermal expansivity coefficient | 8.63 × 10−3 GPa−1 | Tosi et al. (2013) |
| Melting | |||
| u0 | Convection velocity scale | 2 × 10−12 m s−1 | Spohn (1991) |
| ℒ | Latent heat of melting | 6 × 105 J kg−1 | |
| fp | Plume covering fraction | 0.01 | Tosi et al. (2017) |
| fextr | Proportion of extrusive volcanism | 1.0 or 0.286 | |
 |
Water partition coefficient | 0.01 | Aubaud (2004) |
| δHPE | Partition coefficient for heat-producing elements | 0.001 | Blundy & Wood (2003) |
| Atmosphere & escape | |||
| A | Planetary albedo | 0.3 | |
 |
H2 absorption coefficient | 2 × 10−2 m2 kg−1 | after Pierrehumbert & Gaidos (2011) |
 |
CO2 absorption coefficient | 0.05 m2 kg−1 or 0.001 m2 kg−1 | Pujol & North (2003) |
 |
H2O absorption coefficient | 0.01 m2 kg−1 | Abe & Matsui (1988) |
 |
Binary diffusion coefficient H2-CO2 | 3 × 1021 m−1 s−1 | Marrero & Mason (1972) |
| bCO | Binary diffusion coefficient H2-CO | 3 × 1021 m−1 s−1 | Marrero & Mason (1972) |
 |
Binary diffusion coefficient H2-H2O | 4.3 × 1021 m−1 s−1 | Roberts (1972) |
| χ0 | Interpolation: H2 mixing ratio threshold | 0.15 | |
| w | Interpolation fall-off width | 0.01 | |
| Carbon weathering | |||
| XE | Present-day Earth mid-ocean ridge CO2 concentration in the melt | 125 ppm | Höning et al. (2019) |
| ft | Proportion of Earth's seafloor weathering to the total weathering rate | 0.15 | Foley (2015) |
| fe | Present-day fraction of carbonates reaching Earth's mantle | 0.5 | Höning et al. (2019) |
| Φε | Fraction of stable carbonates during subduction | 0.8857 | Höning et al. (2019) |
| PCO2,E | Present-day Earth atmospheric CO2 pressure | 4 × 10−4 bar | Höning et al. (2019) |
| α | Seafloor weathering scaling exponent | 0.23 | Foley (2015) |
| Adecarb | Decarbonation constant | 3.125 × 10−3 K m−1 | Foley & Smye (2018) |
| Bdecarb | Decarbonation constant | 835.5 K | Foley & Smye (2018) |
| Ebas | Activation energy for basalt weathering | 9.2 × 104 J mol−1 | Krissansen-Totton & Catling (2017) |
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