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Table 1

Scaling of parameters for the reference experiment (Model 1).

Parameters Model Nature
 g (m/s2) 9.81 9.81
Thicknesses (m)
 Ho = Hc Lithospheric plates 0.012 80 000
 Hum Upper mantle 0.1 670 000
Length (thickness) scale factor HModel / HNature = 1.5 x 10-7
Buoyancies (kg/m3)
Δρo Oceanic lithosphere -243 -69
Δρc Continental lithosphere
(21 km-thick crust)
+221 +61
Buoyancy scale factor ΔρModel / ΔρNature ∼ 3.5
Viscosities (Pa.s)
ηo Oceanic lithosphere 64 000 ∼3 x 1023
ηum Upper mantle 210 ∼1021
Viscosity scale factor ηModel / ηNature ∼ 2.1 x 10-19
Characteristic time (s)
tModel / tNature = (Δρ.g.H)Nature / (Δρ.g.H)Model x ηModel / ηNature
∼ 4 x 10-13
13 3.16 x 1013
(1 Ma)
Characteristic velocity (m/s)
UModel / UNature = tNature / tModel x HModel / HNature
 = 3.8 x 105
1.2 x 10-4
(0.12 mm/s)
3.2 x 10-10
(1 cm/a)

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