Construction of semi-dynamic model of subduction zone with given plate kinematics in 3D sphere

Earth, Planets and Space

Table 1 The symbol used in this study and its meaning and value.

Symbol	Meaning	Value
υ	Velocity
υ _i	i-component of velocity
	Deviatric stress tensor
P	Pressure
ρ	Density
g	Gravitational acceleration	10 m/s2
	Unit vector in i-direction
η	Viscosity
ρ0	Reference density	4000 kg/m3
a	The coefficient of thermal expansion	3 × 10 -5/K
T	Temperature
κ	Thermal diffusivity	10 -6 m2/s
ωA	Angular velocity of plate A	See text.
ωB	Angular velocity of plate B	See text.
V _AS	Speed of plate A at θ = 90° in spherical geometry	See text.
V _BS	Speed of plate B at θ = 90° in spherical geometry	See text.
	Velocity component on the continental subregion	See text.
	Velocity component on the oceanic subregion	See text.
r0	Minimum r of the boundary region	See text.
r1	Maximum r of the boundary region	See text.
θ0	Minimum θ of the boundary region	See text.
θ1	Maximum θ of the boundary region	See text.
φ0	Minimum φ of the boundary region	See text.
φ1	Maximum φ of the boundary region	See text.
Δr	Radial distance of a finite volume	See text.
Δθ	Inclination of a finite volume	See text.
Δφ	Azimuth of a finite volume	See text.
φtrench	The position of trench	See text.
η0	Reference viscosity	See text.
E	Activation energy	210 kJ/mol
R	Gas constant	8.314 J/K/mol