The Heat Transfer Coefficient (HTC) of dual-barrier well completion is
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| title | Single-barrier Completion |
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defined by the following equation:
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\frac{1}{ dr_{citi} \, U} = \frac{1}{dr_{citi} \, U_{citi}} + \frac{1}{r_{\lambda_c} \lnti} \, U_t} +
\frac{1}{d_c}{d{ann} \, U_{ciann}} +
\frac{1}{\lambdar_{ci} \rm, cemU_c} } \ln+ \frac{d_w1}{dr_c \, U_{cem}}
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where
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| outer radius of the tubing |
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| inner radius of the tubing |
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| --uriencoded--h_t = r_t - r_%7Bti%7D |
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| tubing wall thickness |
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| body | --uriencoded--r_%7Bci%7D |
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| inner radius of the casing |
| casing wall thickness |
| wellbore radius by drilling bit |
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| body | --uriencoded--\displaystyle U_%7Bti%7D = \frac%7B\lambda%7D%7B2 \, r_%7Bti%7D%7D \, %7B\rm Nu%7D_%7Bti%7D |
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| Pipe Flow Heat Transfer Coefficient |
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| body | --uriencoded--\displaystyle U_t = \frac%7B\lambda_t%7D%7Br_%7Bti%7D \cdot \ln (r_t/r_%7Bti%7D)%7D |
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| Tubing Wall Conductive Heat Transfer Coefficient |
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| body | --uriencoded--\displaystyle U_%7Bann%7D = \frac%7B\lambda_%7Bann%7D%7D%7Bd_%7Bann%7D%7D \, %7B\rm Nu%7D_%7Bann%7D |
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| Annular Flow Heat Transfer Coefficient |
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| \displaystyle U_c = \frac%7B\lambda_c%7D%7Br_%7Bci%7D |
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| \cdot \ln (r_c/r_%7Bci%7D |
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| --uriencoded--d_%7Bann%7D = r_ |
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The equation
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can be written explicitly as:| LaTeX Math Block |
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\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} displaystyle U_%7Bci%7D = \frac%7B\lambda%7D%7Bd_%7Bci%7D%7D \, %7B\rm Nu%7D_%7Bci%7D | heat transfer coefficient (HTC) between inner surface of the casing and moving fluid | | Nusselt number for the moving wellbore fluid with account of its contact with inner surface of the casing | Fig. 1. Schematic of a typical multi-layer structure around single-barrier (casing) well completion
See also
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Physics / Thermodynamics / Heat Transfer / Heat Transfer Coefficient (HTC) / Heat Transfer Coefficient (HTC) @model
[ Single-barrier well completion Heat Transfer Coefficient @model ]
[ Thermal conductivity ] [ Nusselt number (Nu) ] [ Natural Convection Heat Transfer Multiplier ]
