Lateral load imposed on a casing centralizer with a dogleg - Cementing
Input(s)
\(m\): Steel in Mud Buoyancy Factor (dimensionless)
\(W\): Weight per foot of Casing (lbm)
L: Distance from Centralizer to next Lower Centralizer (ft)
\(\theta\): Borehole Angle (degree)
\(T\): Tension (Pulling Force) due to casing below Centralizer (lbm)
\(\delta\): One-half the change in Angle between Centralizer and next Lower Centralizer (degrees/100 ft)
Output(s)
\(F_{L}\): Lateral Load, Casing Weight Component \(\pm\) Tension Component (lbm)
Formula(s)
\[
\begin{gathered}
F_{L}=m \cdot W \cdot L \cdot \sin \theta \pm 2(T) \sin \delta \\
\delta=\frac{\text { Dogleg }\left(\frac{\text { degrees }}{100 f t}\right) \cdot \operatorname{Spacing}(f t)}{200} \\
T=\sum m \cdot W \cdot L \cdot \cos \theta
\end{gathered}
\]
Reference(s)
Suman Jr, G. O., & Ellis, R. C. (1977). Cementing handbook. World Oil, Page: 44.