Torsional Vibration Analysis of Drillstrings in Blasthole Drilling

Reducing vibrations in well drilling has a significant effect on improving the overall performance of the drilling process. Vibrations may affect the drilling process in different ways, i.e., reducing durability of the drillstring’s elements, reducing the rate of penetration, and deviating the drilling direction. In rotary drilling, which is used to open mine and oil wells, torsional vibration of the drillstring is an important component of the overall system’s vibration that has received less attention in the literature. In this paper, we propose a finite element model for a sample blasthole drillstring used to open mine wells to investigate its torsional vibrations. Boundary conditions and elements’ specifications are applied to this model. In the model, the interaction between the insert and the rock is represented by a set of repetitive impulses according to the insert pattern. The steady-state response of the system to the repetitive impulses is found and natural frequencies, kinetic energy, and potential energy of the drillstring are calculated. The root mean square (RMS) of the total energy can be used as the measure for reducing the torsional vibration of the system. Finally, an optimum combination of inserts on the cone’s rows was found based on minimizing the total vibratory energy of the drillstring. The optimum design can reduce the torsional vibrations of the drillstring and improve the drilling performance.Copyright © 2008 by ASME

[1]  T. V. Aarrestad,et al.  Drillstring Torsional Vibrations: Comparison Between Theory and Experiment on a Full-Scale Research Drilling Rig , 1986 .

[2]  J. S. Przemieniecki Theory of matrix structural analysis , 1985 .

[3]  Emmanuel M Detournay,et al.  A simplified model to explore the root cause of stick–slip vibrations in drilling systems with drag bits , 2007 .

[4]  Arnaud Michel Chevallier Nonlinear stochastic drilling vibrations , 2001 .

[5]  Jan Dirk Jansen,et al.  Active damping of self-excited torsional vibrations in oil well drillstrings , 1995 .

[6]  J. F. Brett The genesis of torsional drillstring vibrations , 1992 .

[7]  F. Abbassian,et al.  Application of Stability Approach to Bit Dynamics , 1998 .

[8]  Pol D. Spanos,et al.  Bottom-Hole Assembly Modeling and Dynamic Response Determination , 1997 .

[9]  van Dh Dick Campen,et al.  Stick-Slip Whirl Interaction in Drillstring Dynamics , 2002 .

[10]  M.J.G. van de Molengraft,et al.  H/sub /spl infin// control for suppressing stick-slip in oil well drillstrings , 1998 .

[11]  D. W. Dareing,et al.  Effect of Downhole Assembly and Polycrystalline Diamond Compact (PDC) Bit Geometry on Stability of Drillstrings , 1997 .

[12]  Yao-Qun Lin,et al.  Stick-Slip Vibration of Drill Strings , 1991 .

[13]  S. E. Khadem,et al.  Stick-slip oscillations of drag bits by considering damping of drilling mud and active damping system , 2007 .

[14]  Pol D. Spanos,et al.  Nonlinear stochastic drill-string vibrations , 2002 .