17 November 2016 6 6K Report

I am trying to find a solution for the thermal conduction equation:

d ( K[T(z)] * d T(z) ) = -H0* e (-z/d)

dz                dz

Some publications have proposed methods based on stochastic models and nonlinear transformations. However, I would like to know if there is another way to estimate continental geotherms considering the temperature-dependent thermal conductivity. I am following the next relation for the thermal conductivity of the crust:

K [T(z)] = 2.26 - 618.241/  T(z) +K0 * (255.576/  T(z) - 0.030247)

                                              

I will appreciate any help.

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