Backlash: Definition, Rotary Drilling Mechanics, and Torque Measurement

Drilling Operations

Backlash in drilling and oilfield mechanical systems is the amount of free play, clearance, or lost motion in a gear train, rotary drive, threaded coupling, or mechanical assembly that must be taken up before the driving element begins to transmit torque or motion to the driven element. In a spur or bevel gear pair, backlash is the gap between the non-contacting flanks of meshing gear teeth when the contacting flanks are fully engaged; when the direction of rotation reverses, the driving gear must rotate through this angular gap before the tooth flank contacts the driven gear and torque transfer resumes. In a threaded drill pipe tool joint, backlash appears as the small amount of rotational play that exists between pin and box threads at working make-up torque before the connection is fully rigid; this thread-to-thread contact looseness becomes relevant when the string transitions between drilling (rotary torque applied in the right-hand direction) and back-reaming or jar operation (rotary torque applied in the left-hand or reverse direction). In the rotary table drive chain of a mechanical rig, backlash in the kelly drive, sprocket chain, and rotary table gear box manifests as a momentary free spin of the kelly bushing when the rotary direction reverses, during which the surface torque indicator reads near-zero even though downhole torque from the formation may still be significant. In modern top-drive systems, backlash exists in the quill shaft-to-mandrel spline connection and in any gear reduction stage between the electric motor rotor and the drill string, and its magnitude is typically specified by the manufacturer in degrees of free rotation or in newton-metres of torque required to take up the lash before useful drilling torque is transmitted. Backlash matters most in three specific operational contexts in Western Canada Sedimentary Basin horizontal drilling: first, during stick-slip events on Montney horizontal sections where the periodic free-spin of the string in the slip phase makes surface torque measurements temporarily disconnected from downhole conditions; second, during make-up of drill pipe connections where back-torque applied to break a connection that was not properly made-up must overcome the thread backlash before the unscrewing direction is engaged; and third, in measurements-while-drilling (MWD) directional survey instruments that use mechanical gyroscopes, where bearing preload inadequate to eliminate gyroscope gimbal backlash introduces azimuth errors into the survey.

Key Takeaways

  • Gear and drive train backlash in rotary table and top-drive systems: The rotary drive system on any drilling rig contains multiple gear reduction stages between the prime mover (diesel engine or electric motor) and the drill string, and each gear pair contributes a small amount of angular backlash to the total system. In a mechanical rotary table rig, the typical total backlash from the engine through the compound, chain drive, and rotary table gearbox is 0.5 to 2 degrees of kelly rotation, which corresponds to roughly 0.3 to 1.5 degrees of bit rotation through a typical BHA. In a top-drive system, the single reduction gearbox between the AC motor and the quill has substantially lower backlash (typically 0.1 to 0.5 degrees), but the spline connection between the quill and the top-drive mandrel adds another 0.2 to 0.5 degrees of free play. When the drill string is in stick-slip oscillation on a Montney horizontal, the alternation between stick (string wound up in torsion) and slip (string spinning freely) causes the surface drive system to cycle through its backlash zone twice per cycle, creating brief intervals where the surface torque reading drops near zero, misrepresenting the actual downhole torque environment to the driller and the anti-stick-slip control system.
  • Backlash effects on stick-slip and surface torque accuracy: Stick-slip torsional oscillations in a long horizontal drill string occur when the bit and near-bit BHA alternately stall against the formation (stick phase, where string torsional energy builds up) and spin freely at speeds up to 3 to 5 times the average rotary speed (slip phase, where stored energy releases). During the slip phase, the surface drive system is no longer transmitting useful torque downward; instead, the string's elastic unwind drives the bit, and the surface torque reading drops sharply because the drive train is being driven by the string rather than the other way around. In this phase, the backlash in the drive train allows the string to spin slightly faster than the drive at the point of phase reversal, and the torque reading passes through zero and may briefly go slightly negative (indicating the drive is absorbing energy from the string) before the string decelerates and the stick phase begins again. Downhole vibration tools (MEMS-based shock and vibration sensors in the MWD sub) and downhole torque and WOB sensors (downhole dynamometer tools) can distinguish the actual downhole torque from the surface measurement distorted by drive backlash, and when these tools are available, they are the primary input to the anti-stick-slip algorithm rather than the surface torque indicator.
  • Backlash in BHA steerable motor and RSS tool-face control: In steerable motor (PDM) drilling with a bent housing, the tool face (the azimuthal orientation of the bent housing and hence the direction in which the bit is steered) is set by rotating the drill string from surface to the desired orientation, then locking the string and drilling in sliding mode. Because the long, flexible drill string in a Montney horizontal (2,000 to 3,000 m of lateral section) acts as a torsional spring with significant compliance, and because the tool joints along the string have rotational free play in their make-up, the tool-face orientation actually achieved at the bit can differ from the surface indicator reading by 10 to 30 degrees due to the combination of string twist and tool joint backlash. The cumulative effect of 300 to 400 tool joints, each with 0.1 to 0.2 degrees of make-up-torque backlash, can amount to 30 to 80 degrees of total backlash-related twist uncertainty in a 4,000 m lateral string at low working torque. Directional drillers compensate by monitoring the tool-face reading on the downhole MWD real-time transmission, which measures tool-face at the BHA directly and is not affected by surface-to-BHA string backlash, and by applying a specific amount of surface over-rotation or under-rotation to achieve the target downhole tool-face based on empirical string-behaviour models calibrated to the specific well geometry.
  • Thread backlash in drill pipe connections and back-reaming hazard: API and premium thread tool joints have a finite amount of helical thread pitch clearance when made up to the specified make-up torque, reflecting the manufacturing tolerance band and the designed thread interference fit. During right-hand drilling rotation, all connections are loaded in the right-hand direction and thread backlash is of little consequence. During back-reaming (rotating the string while pulling it out of the hole, which is common on Montney horizontal wells to clear packoff before completing connections), the rotation is still right-hand but the axial force is in tension rather than compression, which can alter the load path through the threads and cause connections made up at lower-than-specified torque to back off unintentionally. When the drill string torque direction reverses (for example, when jarring with a left-hand jar or when applying reverse torque to break a stuck connection), the thread backlash zone is traversed first, during which the connection is momentarily in neither tension-makeup nor reverse torque engagement; in connections that are not properly made up, this reversal can initiate unscrewing. Premium connections used in Montney BHA assemblies are designed with reduced thread backlash relative to API rotary-shouldered connections and tighter make-up torque specifications, and all directional drilling make-up events are documented with calibrated hydraulic tong records to confirm correct make-up torque was achieved.
  • Backlash in MWD gyroscopic survey instruments: Mechanical gyroscope survey tools, which were the predecessors to modern solid-state MEMS and ring-laser gyroscopes in MWD survey systems, used spinning rotor gyroscopes in gimbaled frameworks to maintain a space-fixed reference for measuring wellbore azimuth. The gimbals pivot on ball bearings, and any free play or backlash in the gimbal bearing preload allows the gimbal to precess or rock slightly relative to the rotor reference, introducing azimuth errors proportional to the gimbal backlash magnitude. Inadequate bearing preload (which increases with bearing wear over the service life of the tool) was a known failure mode of mechanical gyro surveys and was one driver for the development of solid-state gyroscopes (ring laser gyros, fibre optic gyros) that have no moving parts and hence no backlash-related errors. Modern MWD directional tools using three-axis MEMS accelerometers and three-axis magnetometers have no mechanical backlash in the sensor package itself; backlash effects in MWD are now limited to the stabiliser-to-collar fit and drill collar-to-BHA thread engagement, which can affect the rigid-body alignment of the MWD collar relative to the wellbore axis and introduce small geometric misalignment errors in the survey calculation.

Quantifying Backlash in Drilling Systems

Backlash in a rotary drive system is measured at standstill by slowly rotating the input shaft in one direction until motion is detected at the output shaft, noting the input angle, then rotating the input shaft in the reverse direction until motion is again detected at the output shaft, and measuring the total input rotation between the two detection points. The output-referred backlash is the input backlash divided by the gear ratio, giving the lost motion at the output in degrees. For a rotary table with a 4:1 gear ratio and 2 degrees of input backlash, the output backlash is 0.5 degrees of kelly rotation, corresponding to approximately 0.26 degrees of bit rotation through a typical 500:1 PDM motor gear ratio. This magnitude is negligible for WOB and RPM control but becomes relevant for tool-face control during steerable motor slide drilling, where 0.5 degrees of uncertainty at the kelly translates into uncertainty in the commanded tool-face orientation that must be bounded by the directional driller's steering algorithm.

In gear systems for pump drives, chain drives, and compound transmissions on mechanical rigs, backlash is controlled during manufacture by specifying the tooth profile tolerance and centre-distance tolerance of each gear pair. As gears wear in service, tooth flank erosion increases the backlash over time; periodic gear-mesh inspections using dial indicators on the gear rim are part of scheduled rig maintenance programmes, and backlash exceeding the manufacturer's maximum specification (typically 0.3 to 0.8 mm at the pitch circle for typical rig gearboxes) triggers a gear replacement. The consequence of excessive gear backlash is increased shock loading at the moment of tooth re-engagement after reversal, which accelerates further wear and eventually leads to tooth fracture; in drilling operations with frequent rotary direction reversals (for example, back-reaming and forward drilling cycles on a cased-hole mill-out), backlash-induced shock loading is a significant gear fatigue mechanism.

Thread backlash in drill pipe tool joints is specified by API Specification 7-2 (Rotary Shouldered Thread Connections) in terms of the thread pitch, helix angle, and tolerance bands on the thread profile dimensions. For 5-inch drill pipe with NC50 connections, the thread pitch is 4 threads per inch, the thread lead is 6.35 mm per revolution, and the combined tolerance on pin and box thread profile allows a total circumferential backlash of approximately 0.8 to 1.6 mm at the connection axis, corresponding to 0.7 to 1.4 degrees of rotational free play before thread flank contact re-engages during a torque reversal. Premium thread connections (for example, VAM TOP, Grant Prideco XT series, and Hunting SEAL-LOCK) reduce this backlash to 0.3 to 0.8 degrees through tighter thread tolerances, additional anti-rotation features, and metal-to-metal shoulder contact that provides additional axial constraint independent of thread engagement.

In downhole measurements, backlash in mechanical sensor linkages was historically a source of systematic error in weight-on-bit and torque measurements from downhole dynamometer tools. Early downhole dynamometer instruments used mechanical linkages between the strain-sensing element and the outer housing, and any backlash in these linkages introduced a dead-band in the sensor response: the measured value would not change until the actual parameter change exceeded the backlash threshold. Modern downhole WOB and torque sensors use direct strain-gauge bonding to the drill collar mandrel itself, eliminating all mechanical linkages and their associated backlash. The residual measurement uncertainty in these modern sensors is due to electronics noise and temperature drift rather than mechanical backlash, and is typically less than 0.5 percent of full scale for well-calibrated instruments at working temperature.