Humping
Humping, in drilling engineering and well mechanics, refers to the upward buckling or sinusoidal bowing of a drill string or casing string in a deviated or horizontal wellbore under axial compressive loading, creating a series of arches or humps where the pipe contacts the high side of the borehole in the deviated section and unsupported spans of pipe alternate with contact points against the formation wall; humping is a manifestation of structural instability in a slender column under end compression (analogous to Euler column buckling) that is constrained laterally by the borehole wall, resulting in lateral contact forces, increased torque and drag, and potential casing or drill pipe wear at the contact points; in pipeline engineering, humping refers to the upward displacement of a buried pipeline caused by upheaval buckling, where axial compressive thermal stress in a heated pipeline (particularly subsea flowlines carrying hot production fluids) causes the pipe to buckle upward out of the seabed at locations where the burial depth is insufficient to provide lateral confinement, creating a pipeline hump that is exposed to current, trawl damage, and fatigue loading; both usages share the underlying physics of compressive buckling of a slender pipe constrained by an external medium (borehole wall or seabed), and the engineering challenge in both cases is predicting when the compressive load will exceed the lateral confinement and cause buckling, and designing against it or managing it safely.
Key Takeaways
- Drill string humping in horizontal wellbores occurs when the weight-on-bit (WOB) applied by the surface hookload causes the drill string to go into compression in the horizontal section, and the compressive force exceeds the lateral confinement provided by the mud buoyancy and contact with the borehole wall; sinusoidal buckling (the first mode of lateral instability, producing a sinusoidal shape with the pipe alternately touching the high side and low side of the borehole) occurs at compressive forces above the sinusoidal buckling load (which depends on drill pipe diameter, pipe wall thickness, and the radial clearance between the drill pipe and the borehole wall); helical buckling (the more severe second mode, in which the drill string wraps into a helix that contacts the borehole wall continuously, dramatically increasing contact forces and torque) occurs at compressive forces approximately twice the sinusoidal buckling load; sinusoidal buckling in the horizontal section reduces WOB transmission efficiency (the buckled pipe dissipates applied load in lateral contact forces rather than transmitting it to the bit), increases drag and torque, and can lock up the drill string entirely in severe cases by generating contact forces too high to overcome by rotation; drilling in sliding mode (not rotating the drill pipe while using a downhole motor) in the horizontal section is particularly prone to drill string buckling because rotation significantly increases the buckling load threshold.
- Casing humping during cementation of horizontal sections creates a different problem from drill string humping: as cement is pumped into the annulus behind the casing and sets, the casing is in a state of axial stress determined by the temperature differential between the cement heat of hydration and the initial casing temperature; if the cement develops sufficient compressive strength before the casing is fully supported by bond, and if thermal expansion of the casing during cement hydration is not accommodated by the casing's freedom to move axially, the resulting compressive stress in the casing can cause it to buckle in a sinusoidal hump pattern within the cemented interval; casing humping during cementing is most problematic in horizontal sections where the casing is laying on the low side of the borehole and is not constrained by gravity in the same way it would be in a vertical well; the consequence of cemented casing humping is a deformed casing profile with reduced internal clearance at the hump contact points, which can cause completion tools to hang up during subsequent interventions and can compromise the long-term structural integrity of the casing at the high stress contact locations.
- Upheaval buckling of subsea pipelines is the offshore counterpart of drill string humping and is a significant pipeline integrity challenge for flowlines carrying hot produced fluids from deepwater fields: when a buried pipeline operates at temperatures significantly above the installation temperature (production fluids from deepwater wells can be 80-150 degrees Celsius), the thermal expansion of the steel pipe generates axial compressive force (since the pipe cannot expand freely because it is constrained by friction between the pipe coating and the seabed); if this compressive force exceeds the downward force provided by the overburden (the weight of the soil cover above the pipe), the pipe buckles upward; the critical parameters are the soil cover depth (deeper cover increases the resistance to upward buckling), the pipe temperature and thermal expansion coefficient, the soil friction coefficient at the pipe-seabed interface, and the initial imperfections in the pipeline burial profile (trenches with variable depth, span crossings, spanning sections) that act as initiation sites for upheaval buckling; design mitigation includes sufficient burial depth calculated from the upheaval buckling load, engineered rock dump at potential initiation sites, and deliberate introduction of lateral buckles (controlled buckles designed into the pipeline route) as an alternative to upheaval buckling management in pipelines where burial is impractical.
- Detection and monitoring of pipeline humping uses a combination of regular inline inspection (ILI) with geometry pigs that measure pipeline deformation, AUV (autonomous underwater vehicle) surveys with multibeam sonar that map the seabed around the pipeline and identify exposed spans or humps, and fiber optic distributed temperature sensing (DTS) systems that detect temperature anomalies at buckle locations where the pipe geometry changes the thermal insulation; once a hump is detected in a subsea pipeline, the engineering assessment must determine whether the buckle is stable (growing slowly with operating cycles and manageable within the remaining fatigue life of the pipe) or unstable (growing rapidly toward a condition where the pipe will fail); stable humps are monitored with increased inspection frequency; unstable humps may require operational temperature reduction (reducing throughput or water injection cooling), rectification by additional burial or rock dump, or in severe cases a clamp repair or pipeline replacement in the buckled section.
- Engineering analysis of humping uses structural mechanics models that treat the drill string or pipeline as a beam-column subjected to combined axial compression and lateral loading, with the lateral resistance provided by the borehole wall contact forces (in drilling) or by the soil cover weight and friction (in pipeline upheaval buckling): the classical Lubinski-Woods-Chesney analysis for drill string buckling (developed in the 1950s-1960s) provides the sinusoidal and helical buckling load formulas widely used in torque-and-drag software; the Palmer-Martin analysis for pipeline upheaval buckling (developed in the 1990s) provides the critical cover depth required to suppress buckling for a given operating temperature and pipeline size; both analyses have been extended and refined by subsequent researchers to account for real wellbore geometry, axial friction, dynamic loading effects, and soil nonlinearity, but the fundamental physical insight remains the same: a slender pipe under compression constrained by a lateral boundary will buckle when the compressive load exceeds the lateral confinement, and the compressive load must either be kept below the critical value or the lateral confinement must be made sufficient to suppress buckling at the expected load.
Fast Facts
The theoretical analysis of drill string buckling by Arthur Lubinski and colleagues at Phillips Petroleum in the 1950s is one of the foundational contributions to drilling engineering mechanics, providing the first rigorous treatment of the conditions under which a drill string in a wellbore transitions from straight to sinusoidal to helical buckled configurations. Lubinski's 1950 paper "A Study of the Buckling of Rotary Drilling Strings" introduced the concept of the neutral point (the depth at which axial loading transitions from tension to compression) that remains central to drillstring design today. For pipeline upheaval buckling, the North Sea Åsgard Transport pipeline system used controlled lateral buckle design deliberately engineered into the pipeline route as an innovative alternative to deep burial, becoming a template for thermal expansion management in high-temperature deepwater flowline systems worldwide.
What Is Humping?
Humping is what a pipe does when it is compressed more than its lateral support can prevent. Push a drill string hard from the top in a horizontal well and it buckles sideways into a wavy sinusoidal shape, touching the high side of the hole at the arches and the low side in between. Push harder and the sinusoidal wave becomes a helix, wrapping the drill string around the borehole interior in a spiral that dramatically increases contact forces and torque. In subsea pipelines, running hot production fluids through a buried pipe generates compressive thermal expansion stress; if the soil above the pipe does not weigh enough to hold it down, the pipe buckles upward into a hump exposed on the seabed. In both cases, the physical mechanism is identical: a slender elastic column in compression, constrained laterally by something that eventually cannot prevent the buckle. The engineering challenge is the same in both contexts: predict the compressive force, determine the lateral resistance, ensure there is enough margin between them, and monitor for signs that the margin is being consumed.
Synonyms and Related Terminology
Humping in drilling is also called sinusoidal buckling, drill string buckling, or pipe buckling. In pipelines, humping is called upheaval buckling, thermal buckling, or pipeline uplift. Related terms include buckling (the structural instability of a slender member under compressive loading, transitioning from stable straight configuration to a deformed shape at a critical load determined by the member's flexural rigidity and the lateral boundary conditions, the fundamental mechanical phenomenon underlying both drill string humping and pipeline upheaval), helical buckling (the more severe second-mode buckling state of a drill string in a wellbore, in which the pipe forms a continuous helix in contact with the borehole wall, producing high contact forces, increased torque, reduced WOB transmission, and potential pipe fatigue or wear at contact points), torque and drag (the rotational friction and axial friction forces acting on a drill string in a deviated wellbore, significantly increased by sinusoidal and helical buckling because the contact forces between the buckled pipe and the borehole wall are proportional to the buckling-induced lateral force in addition to the normal component of string weight), weight-on-bit (the compressive force applied to the drill bit by the drill collars or drill string under compression, the parameter whose excess application causes drill string buckling in horizontal sections when the bit resistance exceeds the critical buckling load at the bit depth), and neutral point (the depth in a drill string at which the axial stress changes from tension above to compression below, the location above which buckling cannot occur and below which sinusoidal and helical buckling may develop as WOB is applied).
Why Managing Compressive Buckling Determines Drilling Efficiency in Extended-Reach Wells
Extended-reach and ultra-long horizontal wells are achievements of torque-and-drag management as much as of directional steering technology. Every additional foot of horizontal section is a foot where the drill string must transmit WOB to the bit against the resistance of friction along the borehole wall, and where any buckling that occurs adds additional contact forces that increase that friction resistance. In a 15,000-foot horizontal section drilled in sliding mode (not rotating), the drill string reaches its buckling limit at a fraction of the WOB that would be achievable in rotary mode, because rotation dramatically increases the critical buckling load. This is why long horizontal wells in unconventional resource plays are drilled almost exclusively in rotary steerable mode (continuous rotation while steering), not in mud motor sliding mode: rotation not only steers but prevents the buckling that would lock the string in sliding. The limits of extended reach drilling are ultimately the limits of WOB transmissibility in a buckled or near-buckled string, and those limits are set by the torque-and-drag physics that Lubinski described in the 1950s and that every horizontal well driller navigates today.