Ma. Elsayed et al., EFFECT OF TORSION ON STABILITY, DYNAMIC FORCES, AND VIBRATION CHARACTERISTICS IN DRILLSTRINGS, Journal of energy resources technology, 119(1), 1997, pp. 11-19
Traditionally, the analysis of stability in drillstrings is based on l
ongitudinal vibrations only. However, field experience indicates the p
resence of torsional effects in the form of modulations in longitudina
l vibrations. Moreover, torsional dynamic forces are significant and l
ead to joint problems during drilling. In this paper, we discuss the e
ffect of torsional vibrations: on the stability and both longitudinal
and torsional forces in drillstrings. Using a model of a typical drill
string that incorporates both longitudinal and torsional multi-degree
of freedom, we develop the equations governing displacements and force
s at any joint. Using time simulation techniques, we obtain the stabil
ity diagram and calculate the dynamic forces at any joint as a functio
n of time. We finally show the effect of torsion on the nature of vibr
ations through frequency analysis, a technique that is useful in the i
nterpretation of field measurements under various drilling conditions.