From: On the evolution of the water ocean in the plate-mantle system
Symbol | Meaning | Value |
---|---|---|
η 0 | Reference viscosity | 1021 (Pa s) |
∆η | Viscosity jump | 30 |
ρ 0 | Reference density | 3300 (kg m−3) |
∆ρ w | Density anomalies due to mantle water content | 4.125 (kg m−3) |
g 0 | Gravity | 9.8 (m s−2) |
α 0 | Reference thermal expansivity | 5 × 10−5 (K−1) |
κ 0 | Reference thermal diffusivity | 7 × 10−7 (m2 s−1) |
∆T sa | Temperature scale | 2500 (K) |
T s | Surface temperature | 300 (K) |
T CMB | Temperature at the CMB | 4000 (K) |
C p | Heat capacity | 1250 (J kg−1 K−1) |
L m | Latent heat | 6.25 × 105 (J kg−1) |
H | Internal heating rate | 5.2 × 10−12 (W kg−1) |
C Y | Cohesion stress | 10 (MPa) |
E d | Activation energy of dry mantle | 290 (kJ mol−1) |
V d | Activation volume of dry mantle | 2.4 × 10−6 (m3 mol−1) |
E w | Activation energy of wet mantle | 380 (kJ mol−1) |
V w | Activation volume of wet mantle | 4 × 10−6 (m3 mol−1) |
R | Gas constant | 8.134 (J K−1 mol−1) |
D | Thickness of mantle | 2890 (km) |