Evolution into the stagnant lid convection regime with a non-Newtonian water ice rheology

Physics

Scientific paper

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Planetology: Solid Surface Planets: Heat Flow, Planetology: Solid Surface Planets: Origin And Evolution, Planetology: Solid Surface Planets: Physical Properties Of Materials

Scientific paper

We study and compare the evolution into the stagnant lid regime with a non-Newtonian water ice and a silicate rheology by solving the equations of thermal convection. Dislocation creep of water ice is characterized by a larger stress dependence (n = 4) than silicates (n = 3) and with this water ice rheology, the stagnant lid regime is attained at a temperature determined viscosity contrast greater than 1010 and at an effective viscosity contrast of ~105. We also determine a Nusselt-Rayleigh number scaling law for the n = 4 rheology.

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