| outer radius of the tubing |
| LaTeX Math Inline |
|---|
| body | --uriencoded--r_%7Bti%7D |
|---|
|
| inner radius of the tubing |
| LaTeX Math Inline |
|---|
| body | --uriencoded--h_t = r_t - r_%7Bti%7D |
|---|
|
| tubing wall thickness |
| outer radius of the casing |
| LaTeX Math Inline |
|---|
| body | --uriencoded--r_%7Bci%7D |
|---|
|
| inner radius of the casing |
| casing wall thickness |
| wellbore radius by drilling bit |
| LaTeX Math Inline |
|---|
| body | --uriencoded--\displaystyle U_%7Bti%7D = \frac%7B\lambda%7D%7B2 \, r_%7Bti%7D%7D \, %7B\rm Nu%7D_%7Bti%7D |
|---|
|
| Pipe Flow Heat Transfer Coefficient |
| LaTeX Math Inline |
|---|
| body | --uriencoded--\displaystyle U_t = \frac%7B\lambda_t%7D%7Br_%7Bti%7D \cdot \ln (r_t/r_%7Bti%7D)%7D |
|---|
|
| Tubing Wall Conductive Heat Transfer Coefficient |
| LaTeX Math Inline |
|---|
| body | --uriencoded--\displaystyle U_%7Bann%7D = \frac%7B\lambda_%7Bann%7D%7D%7Bd_%7Bann%7D%7D \, %7B\rm Nu%7D_%7Bann%7D |
|---|
|
| Annular Flow Heat Transfer Coefficient |
| LaTeX Math Inline |
|---|
| body | --uriencoded--\displaystyle U_c = \frac%7B\lambda_c%7D%7Br_%7Bci%7D \cdot \ln (r_c/r_%7Bci%7D)%7D |
|---|
|
| Casing Wall Conductive Heat Transfer Coefficient |
| LaTeX Math Inline |
|---|
| body | --uriencoded--\displaystyle U_%7Bcem%7D = \frac%7B\lambda_%7Bcem%7D%7D%7Br_c \cdot \ln (r_w/r_c)%7D |
|---|
|
| Cement Conductive Heat Transfer Coefficient |
| LaTeX Math Inline |
|---|
| body | --uriencoded--d_%7Bann%7D = r_%7Bci%7D-r_t |
|---|
|
| annular hydraulic diameter |
| thermal conductivity of fluid moving through the tubing |
| LaTeX Math Inline |
|---|
| body | --uriencoded--\lambda_%7Bann%7D |
|---|
|
| thermal conductivity of fluid in the annulus |
| thermal conductivity of tubing material |
| thermal conductivity of casing material |
| LaTeX Math Inline |
|---|
| body | --uriencoded--\lambda_%7Bcem%7D |
|---|
|
| thermal conductivity of cement |
