changes.mady.by.user Arthur Aslanyan (Nafta College)
Saved on Dec 15, 2019
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Measured Depth of wellbore trajectory with reference to Earth's surface (
TVDss of the Earth's surface in a given location. In case the Earth's surface is at sea level then
T_G(t, {\bf r}) = T_{GS}({\bf r}) + T_Y(t, z) + T_D(t, z)
G_T({\bf r}) = \frac{j_z}{\lambda_r({\bf r})}
\nabla T_{GS} = \lambda^{-1}({\bf r}) \cdot {\bf j}
\nabla \times {\bf j} = 0
T_{GS}(x, y, z = z_s) = T_s
T_Y(t,z) = \delta T_A \, \exp \left[ \, {(z_s-z}) \sqrt{\frac{\pi}{a_{en} \, A_T}} \, \right] \, \cos \left[ \, 2 \pi \frac{t - \delta t_A}{A_T} + (z_s -z) \sqrt {\frac{\pi}{a_{en} \, A_T}} \, \right]
T_D(t,z) = \delta T_D \, \exp \left[ \, {(z_s-z}) \sqrt{\frac{\pi}{a_{en} \, D_T}} \, \right] \, \cos \left[ \, 2 \pi \frac{t - \delta t_D}{D_T} + (z_s -z) \sqrt {\frac{\pi}{a_{en} \, D_T}} \, \right]
z_n = z_s + H_n
H_n = \sqrt{\frac{a_{en} \, A_T }{\pi}} \, \ln \frac{\delta T_A }{\delta T_{\rm cut} }