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.