ps2 - PHY395S Problem Set 2 Due Thursday Feb 17th at 5:00pm...

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PHY395S: Problem Set 2 Due Thursday, Feb. 17 th at 5:00pm in Drop Box 25 Note: Q1-5 are each worth 3 marks, so the total problem set value is 15 marks. 1) Assume that the radioactive elements in the crust are uniformly distributed (i.e. H=constant). The surface heat flux is q y = 0 = q s ˆ j where q s =70 mW/m 2 , and the heat flow into the bottom of the crust is q y = y b = 1 3 q s ˆ j . Furthermore, k= 2.8 Wm -1 K -1 , T s = 0 C, and the temperature at the bottom of the crust (y b ) is 1500 C. Assuming a steady-state, what is the thickness of the crust y b ? (Your answer should be a numerical value) 2) In many geodynamic applications, it is most appropriate to consider the continental crust as a two layer system. Assume the upper layer, 15 km thick, has an internal heat generation ( ρΗ ) of 2.8 μ W/m 3 , and the lower layer, 30 km thick, has no internal heat generation. Assume that the heat flow at the bottom of the lower layer is 2 x 10 -2 W/m 2 , that the surface temperature is T=0 C and that the thermal conductivity is 2.5 W m -1 K -1 .
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