Authors: Geoff Rideout, Farid Arvani, Stephen Butt, Ehsan Fallahi
During oilwell drilling, the long slender drillstring is susceptible to coupled lateral, axial and torsional vibrations that can reduce drilling efficiency and damage components. A bond graph model of an 80 metre drillstring collar section, subjected to bit-rock interaction boundary conditions and multiple lateral stabilizers, is created. Three-dimensional rigid lumped segments are connected by axial, torsional, shear, and bending springs. Thirty segments are sufficient to predict the lowest natural frequencies and static deflection accurately. An active lateral vibration controller is implemented, in which actuators and strain gauges are placed 90-degrees apart around the pipe walls, near the middle of the longest span. A proportional controller acting on the strain gauge output significantly attenuates vibration. The model structure allows easy reconfiguration of the drillstring geometry, boundary conditions, and actuator and sensor locations, to study the effect of any controller on coupled lateral, axial, and/or torsional vibration.