In case of dual-barrier Dual-barrier single-string completion with fluid (stagnant or moving) filling in the annulus (see Fig. 1) the HTCwell completion schematic is brought on Fig. 1.
Image Added |
Fig. 1. Dual-barrier well completion schematic |
The Heat Transfer Coefficient (HTC) is defined by the following equation:
LaTeX Math Block |
---|
|
\frac{1}{ r_{ti} \, U} = \frac{1}{r_{ti} \, U_{ti}} + \frac{1}{r_{ti} \, U_t} +
\frac{1}{d_{ann} \, U_{ann}} +
\frac{1}{r_{ci} \, U_c} + \frac{1}{r_c \, U_{cem}} |
where
Image Removed |
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 |
| |
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--d_%7Bann%7D = r_%7Bci%7D-r_t |
---|
|
| annular hydraulic diameterFig. 1. Dual-barrier well completion schematic
LaTeX Math Block |
---|
|
\frac{1}{ r_{ti} \, U} = \frac{2}{\lambda \, {\rm Nu}_{ti}} + \frac{1}{\lambda_t} \, \ln \frac{r_t}{r_{ti}}
+ \frac{1}{\lambda_{ann} \, {\rm Nu}_{ann}} +
\frac{1}{\lambda_c} \ln \frac{r_c}{r_{ci}} + \frac{1}{\lambda_{cem}} \ln \frac{r_w}{r_c} |
where
...
...
...
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 |
---|
|
...
...
...
LaTeX Math Inline |
---|
body | --uriencoded--r_%7Bci%7D |
---|
|
...
inner radius of the casing
...
...
...
...
thermal conductivity of cement | LaTeX Math Inline |
---|
body | \lambda | thermal conductivity of fluid moving through the tubing | LaTeX Math Inline |
body\lambda_a | thermal conductivity of fluid in the annulus |
See also
...
Physics / Thermodynamics / Heat Transfer / Heat Transfer Coefficient (HTC) / Heat Transfer Coefficient (HTC) @model
[ Thermal conductivity ] [ Nusselt number (Nu) ] [ Natural Convection Heat Transfer Multiplier ]