1. Calculate an equilibrium geotherm from the 1-dimensional heat-flow equation g

Question

1. Calculate an equilibrium geotherm from the 1-dimensional heat-flow equation given the following boundary conditions:

i) T/z=30°C/km at z=0 km andii) T=700°C at z=35 km.

Assume that the internal heat generation is 1µW/m3 and the thermal conductivity is
3W/m/°C.

2. A 1-m-wide dyke with a temperature of 1050°C is introduced into country rock at a temperature of 50°C.
a) Calculate how long the dyke will take to solidify.b) After 2 weeks what will the temperature of the dyke be?Assuming that dyke solidify at ~800°C, and thermal diffusivity of rock is =10-6/m2s

3. Calculate the rate at which heat is produced in (a) the crust and (b) the mantle.Assume that the crust is 10 km thick and that the volumetric heat-generation capacities are 1.5x10-6W/m3 in the crust and 1.5x10-8W/m3 in the mantle.

4. Assume that the asthenosphere behaves as a viscoelastic material. What is its visco-relaxation time? Assume Young’s modulus E=70 GPa. Given the post glacial isostatic rebound occurs at 1000s years time scale, do your results agree with this observations----discuss why the observation is relevant to the viscous behavior of the mantle.

Explanation / Answer

1. Calculate an equilibrium geotherm from the 1-dimensional heat-flow equation g

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