Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

Below Neutral Temperature LayerAbove Neutral Temperature Layer


LaTeX Math Block
anchorT_g
alignmentleft
T_g(l) = T_{ref} + \int_{z_n}^z G_T(z) dz



LaTeX Math Block
anchorT_z
alignmentleft
T(t, z) = T_{srf}s + \frac{j_z}{\lambda_e} (z-z_{srf}s) + T_Y(t, z) + T_D(t, z)



LaTeX Math Block
anchorG_T
alignmentleft
G_T(z) =\frac{d T_g}{d z}= \frac{j_z}{\lambda_e}



LaTeX Math Block
anchorT_z
alignmentleft
T_Y(t,z) = T_A \, \exp \left[ \, {(z_s-z}) \sqrt{\frac{\pi}{a_e \, \delta_T}} \, \right] \, \cos \left[  \, 2 \pi \frac{t - t_{min}}{\delta_T} + (z_{srf} -z) \sqrt {\frac{\pi}{a_e \, \delta_T}} \, \right]




LaTeX Math Block
anchorT_z
alignmentleft
T_D(t,z) = T_A \, \exp \leftA \, \exp \bigg[ \, {(z_{srf}s-z}) \sqrt{\frac{\pi}{a_e \, \delta_T}} \, \biggright] \, \cos \biggleft[  \, 2 \pi \frac{t - t_{min}}{\delta_T} + (z_{srf} -z) \sqrt {\frac{\pi}{a_e \, \delta_T}} \, \bigg]
LaTeX Math Block
anchorG_T
alignmentleft
G_T(z) =\frac{d T_g}{d z}= \frac{j_z}{\lambda_e}right]


where

где

LaTeX Math Inline
bodyz_s

TVDss of the Earth's surface

LaTeX Math Inline
bodyT_{srf}

Annual average surface temperature based on weather reports

LaTeX Math Inline
bodyT_A

Annual average surface temperature variation based on weather reports

LaTeX Math Inline
body\delta_T

Temperature variation cycle (usually 

LaTeX Math Inline
body--uriencoded--\delta t = 1 \, %7B\rm year%7D
)

LaTeX Math Inline
bodyt_{min}

Temperature variation cycle shift (time moment of minimal temperature with respect to astronomic midnight 0:00)

LaTeX Math Inline
bodya_e = \frac{\lambda_e}{\rho_e \, c_e}

Rock temperature conductivity

LaTeX Math Inline
body\rho_e

Rock density

LaTeX Unit
bodyc_e

Rock specific volumetric heat capacity at constant pressure

...