outer radius of tubing
inner radius of the tubing
outer radius of casing
inner radius of the casing
In case of dual-barrier single-string completion with fluid (stagnant or moving) filling in the annulus (see Fig. 1) the HTC is defined by the following equation:
\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
outer radius of tubing | | |
inner radius of the tubing | ||
| tubing wall thickness | ||
outer radius of casing | ||
inner radius of the casing | ||
| casing wall thickness | ||
| wellbore radius by drilling bit | ||
| annular hydraulic diameter | ||
| Tubing Wall Conductive Heat Transfer Coefficient | ||
| Annular Flow Heat Transfer Coefficient | ||
| Casing Wall Conductive Heat Transfer Coefficient | ||
| Cement Conductive Heat Transfer Coefficient | Fig. 1. Dual-barrier well completion schematic |
\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
outer radius of tubing | ||
inner radius of the tubing | ||
| tubing wall thickness | ||
outer radius of casing | ||
inner radius of the casing | ||
| casing wall thickness | ||
| thermal conductivity of tubing material | ||
| thermal conductivity of casing material | ||
| thermal conductivity of cement | ||
| thermal conductivity of fluid moving through the tubing | ||
| effective thermal conductivity of the annulus | ||
| Natural Convection Heat Transfer Multiplier | ||
| thermal conductivity of fluid in the annulus |
Physics / Thermodynamics / Heat Transfer / Heat Transfer Coefficient (HTC) / Heat Transfer Coefficient (HTC) @model
[ Thermal conductivity ] [ Nusselt number (Nu) ]