TEMPERATURE AND VELOCITY STRUCTURE OF A CONVECTING ICE SHELL ON JUPITER'S SATELLITE, EUROPA
The temperature structure, velocity structure, and stagnant lid thickness within the ice shell are controlled by the rheology of ice. The two creep mechanisms most favored within Europas ice shell are basal slip accommodated by grain-boundary sliding (GBS), which is non-Newtonian and has a stress exponent n=1.8, and diffusional flow, which is Newtonian . We approximate the effects of non-Newtonian rheology by using an effective activation energy, Q*eff=Q*/n. We simulate convection within the ice shell using a range of Q*eff between the Newtonian approximation to GBS (Q*eff> = 25 kJ/mol) and diffusional flow (Q*eff = 60 kJ/mol). Our convection modeling confirms that the stagnant lid thickness is proportional to Q*eff and varies between 2 and 6 km for the range of Q*eff, melting point viscosity (ho), and grain sizes examined. The average convective velocities range from ~10 to ~0.1 cm yr-, and the convective interior temperatures range from 180 to 230 K. We find a 20-km-thick ice shell will convect for Q*eff < 30 kJ mol-1 for ho=1015 Pa s, and Q*eff < 50 kJ mol-1 for ho=1014 Pa s.
Accurate models of convection within the ice shell in the future should include the effects of tidal dissipation and non-ice materials on the rheology of ice (e.g. salts and/or sulfur compounds).