Drillstring Stretch Formula
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\( \Delta L \;=\; \dfrac{ F \cdot L \cdot 12 }{ \lambda \cdot A_c } \) (Drillstring Stretch) \( F \;=\; \dfrac{ \Delta L \cdot \lambda \cdot A_c }{ L \cdot 12 } \) \( L \;=\; \dfrac{ \Delta L \cdot \lambda \cdot A_c }{ F \cdot 12 } \) \( \lambda \;=\; \dfrac{ F \cdot L \cdot 12 }{ \Delta L \cdot A_c } \) \( A_c \;=\; \dfrac{ F \cdot L \cdot 12 }{ \Delta L \cdot \lambda } \) |
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| Symbol | English | Metric |
| \( \Delta L \) = Stretch Length | \(in\) | - |
| \( F \) = Pull Force | \(lbf\) | - |
| \( L \) = Pipe Length | \(ft\) | - |
| \( \lambda \) (Greek symbol lambda) = Elastic Modulus (psi) | \( lbf \;/\; in^2 \) | - |
| \( A_c \) = Area Cross-section | \( in^2 \) | - |
Drillstring stretch is the elongation of the drillstring, which is the column of drill pipe that connects the surface equipment to the drill bit at the bottom of the wellbore. This stretching occurs due to the tensile forces acting on the drillstring, primarily the weight of the string itself. Factors influencing this stretch include the length of the drillstring, the weight of the components within it, and the materials the drillstring is constructed from. Understanding drillstring stretch is crucial for accurate well depth measurements, precise drilling operations, and effective management of downhole conditions. Additionally, when freeing a stuck drillstring, the amount of stretch can be used to determine the location of the stuck point.
