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| title | Dual-barrier Completion |
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In case of single-string well completion with flowing fluid in the annulus (see Fig. 3) the HTC is defined by the following equation:
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\frac{1}{ d_{ti} \, U} = \frac{1}{d_{ti} \, U_{ti}} + \frac{1}{\lambda_t} \, \ln \frac{d_t}{d_{ti}} +
+ \frac{1}{\lambda_{a, \rm eff}} \ln \frac{d_{ci}}{d_t} +
\frac{1}{\lambda_c} \ln \frac{d_c}{d_{ci}} + \frac{1}{\lambda_{cem}} \ln \frac{d_w}{d_c} |
where
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outer radius of tubing (with outer radius
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| body | --uriencoded--d_%7Bti%7D = 2 \cdot r_%7Bti%7D |
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inner diameter of the tubing (with inner radius
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| body | --uriencoded--r_%7Bti%7D |
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| body | --uriencoded--h_t = r_t - r_%7Bti%7D |
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outer radius of casing (with outer radius
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| body | --uriencoded--d_%7Bci%7D = 2 \cdot r_%7Bci%7D |
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inner diameter of the casing (with inner radius
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| body | --uriencoded--r_%7Bci%7D |
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| body | --uriencoded--\lambda_%7Ba, \rm eff%7D = \lambda_a \cdot \epsilon_a |
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| body | --uriencoded--\displaystyle U_%7Bti%7D = \frac%7B\lambda%7D%7Bd_%7Bti%7D%7D \, %7B\rm Nu%7D_%7Bti%7D |
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heat transfer coefficient (HTC)
between inner surface of tubing and moving fluid
In case the annulus is filled with stagnant fluid the annulus fluid convection will be natural and the Convection Heat Transfer Multiplier
is a function of Rayleigh number .In case the annulus fluid is moving the annulus fluid convection will be forced and the Convection Heat Transfer Multiplier
can be approximated as:See also
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Physics / Thermodynamics / Heat Transfer / Heat Transfer Coefficient (HTC)
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