GLOSSARY

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LaTeX Math Inline
bodyT_e(t, z)

Subsurface temperature distribution


Inputs

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LaTeX Math Inline
bodyt

Time lapse after the temperature step from 

LaTeX Math Inline
bodyT_e(z=0) =0
  up to 
LaTeX Math Inline
bodyT_e(z=0) =T_f

LaTeX Math Inline
bodyz

Spatial coordinate along the transversal direction to constant temperature 

LaTeX Math Inline
bodyT_e(z)= T_f
plane 
LaTeX Math Inline
bodyz=0

LaTeX Math Inline
bodyz_f

TVDss of the top of the lateral flow unit

LaTeX Math Inline
bodyh_f

True vertical thickness of the the lateral flow unit

LaTeX Math Inline
bodyT_f

Boundary temperature at 

LaTeX Math Inline
bodyz=0

LaTeX Math Inline
bodya_e

Thermal diffusivity of the surroundings

LaTeX Math Inline
bodyT_G(z)

Geothermal Temperature Profile


Equations

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Driving equationInitial conditions Boundary conditions


LaTeX Math Block
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\frac{\partial T_e}{\partial t} = a_e^2 \Delta T_e = a_e^2\frac{\partial^2 T_e}{\partial z^2}



LaTeX Math Block
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T_e(t=0, z) = T_G(z)



LaTeX Math Block
anchor7685E
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T_e(t, z_f \leq z \leq z_f + h_f) = T_f = {\rm const}


LaTeX Math Block
anchor7685E
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T_e(t, z \rightarrow \infty) = T_G(z)


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