Fig. 1. Single-barrier well completion schematic


The Heat Transfer Coefficient (HTC) of dual-barrier well completion is defined by the following equation:

\frac{1}{ r_{ci} \, U} = \frac{1}{r_{ci} \, U_{ci}} + \frac{1}{r_{ci} \, U_c}  + \frac{1}{r_c \, U_{cem}}  

where

outer radius of the casing

inner radius of the casing

casing wall thickness

wellbore radius by drilling bit

Pipe Flow Heat Transfer Coefficient

Casing Wall Conductive Heat Transfer Coefficient

Cement Conductive Heat Transfer Coefficient

thermal conductivity of fluid moving through the tubing

thermal conductivity of casing material

thermal conductivity of cement


The equation 
 can be written explicitly as:

\frac{1}{ r_{ti} \, U} = \frac{2}{\lambda \, {\rm Nu}_{ci}} + \frac{1}{\lambda_c} \ln \frac{r_c}{r_{ci}} + \frac{1}{\lambda_{cem}} \ln \frac{r_w}{r_c} 


See also


Physics / Thermodynamics / Heat Transfer /  Heat Transfer Coefficient (HTC) / Heat Transfer Coefficient (HTC) @model

Dual-barrier well completion Heat Transfer Coefficient @model ]

Thermal conductivity ] [ Nusselt number (Nu) ]