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In some specific subsurface applications which require the knowledge of subsurface temperature distributions the assumption of the Constant Areal Geothermal Temperature Profile is not valid and the problem requires a proper 3D modelling solution.
Outputs
Inputs
where
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| TVDss of the Earth's surface in a given location. In case the Earth's surface is at sea level then |
Assumptions
Equations
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| \rho_e \, c_e \frac{\partial T_G}{\partial t} + \nabla \left( \lambda_e \nabla T_G \right) = q({\bf r}) |
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| T_G(t, x, y, z = z_s) = T_s(t, x, y) |
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| \Big[ \lambda_e \nabla T_G \Big]_{z=z_{ref}} = {\bf j}(x,y, z = z_{ref} |
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(x,y |
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| G_T({\bf r}) = \frac{j_z({\bf r})}{\lambda_ |
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r
See Also
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Geology / Geothermal Temperature Field
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