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Designing for Forces You Cannot See

Undergraduate final project · Petroleum engineering

How do you know a drillstring can survive the path it must follow?

An interactive case study in drillstring design, mechanical loads, and validation — by Muhammad Fakhri Helmi.

02 Well path

A directional path changes how the string moves, contacts the wellbore, and carries load.

The study well follows a build-and-hold profile: drilled straight down, turned at a kick-off point, then held at a steady angle to reach a target offset from the rig.

Build. The hole starts to curve. The string is pressed against the wall, so contact and friction begin to add torque and drag.

Conceptual visualization — not operational data

Generic geometry — not the study well's coordinates or survey.

03 The string

Every section contributes weight, strength, and a different response to load.

The longest section. Every joint holds up everything below it and passes rotation down from the rig. In this study, its strength rating was the only thing that differed between the three designs.

Conceptual visualization — not operational data

Illustrative proportions — no real dimensions or grades.

04 Four forces

A viable design has to be checked against more than one force.

The same string, on the same path, is loaded four different ways. Scroll through them, or jump to one.

Tension

Each point holds up everything hanging below it.

Tension is highest near the surface, where the whole string hangs from the rig. Pulling out of the hole adds friction on top of the weight.

CheckWorking load stays below 90 % of the pipe's rated strength — the study's safety threshold.

Torque

Rotation has to overcome friction along the path.

Wherever the string touches the wall, rotation loses some of its torque to friction. The rig must supply the sum of it, so torque builds toward the surface.

CheckPeak torque stays below the make-up torque of the pipe connections.

Drag

Wall contact resists every trip in and out.

Running in, the string's own weight must push through the resistance. Pulling out, the rig must overcome it — within the overpull margin it has available.

CheckRunning in: available weight beats drag. Pulling out: required pull stays within the overpull margin.

Buckling

The lower string is pushed into compression.

Weight on bit puts the bottom of the string in compression. Beyond a critical load, pipe can bend into a sinusoidal or helical shape inside the hole.

CheckCompression stays below the critical buckling load.

Conceptual shape — not a physical simulation.

Four forces become four criteria.

Each design had to pass every check, while drilling and while tripping in and out of the hole.

  1. Tension

    Working load stays below 90 % of the pipe's rated strength — the study's safety threshold.

  2. Torque

    Peak torque stays below the make-up torque of the pipe connections.

  3. Drag

    Running in: available weight beats drag. Pulling out: required pull stays within the overpull margin.

  4. Buckling

    Compression stays below the critical buckling load.

Conceptual visualization — not operational data

05 Three designs

Three alternatives. The same well path. A different safety margin.

The three strings share the same length, weight and arrangement. Only the drillpipe's strength rating differs — so the loads stay the same while the limits move.

Meets study criteria

Held all four loads with margin in both methods. Recommended in the initial study.

Design A: result of each check by hand calculation and by simulation
CheckHand calc.Simulation
TensionMeets study criteriaMeets study criteria
TorqueMeets study criteriaMeets study criteria
DragMeets study criteriaMeets study criteria
BucklingMeets study criteriaMeets study criteria
Same load, different limit. The bar is the load; the tick is the design's limit, the shaded zone is above the 90 % threshold.
Tensionhand calculation
Torquehand calculation

Conceptual visualization — not operational data

Statuses summarise the study's conclusions; bar positions are illustrative.

06 · Two methods

Calculation is a starting point. Comparison reveals what needs a closer look.

Every design was checked twice: by hand, with load-mechanics equations applied section by section, and with WellPlan® simulation along the whole path. The trends agreed across all three designs. The numbers did not always.

Mechanical analysissection by section
SurfaceBitTorque (index) →Depth ↓Design limit66
Software simulationstep by step
SurfaceBitTorque (index) →Depth ↓Design limit61

At this depth — hand calculation 66simulation 61difference 9 %

Conceptual visualization — not operational data

Curves are drawn to explain the two approaches; they are not the study's results or WellPlan® output.

What the comparison showed

  • Torque: hand calculation landed close to the simulation.
  • Tension: the gap between the two methods was much larger.

For Design B the two methods even disagreed on the verdict — usable but not recommended by hand, not usable in simulation. Both still pointed to the same action: do not run it as-is.

  1. Reason 1

    Sections vs. steps

    The hand calculation works section by section, using each component's length. The simulation steps through the well in small depth increments.

  2. Reason 2

    How the path is read

    By hand, angle changes were taken in whole degrees and azimuth was left out. The simulation reads the path more precisely, azimuth included.

  3. Takeaway

    What it means

    Hand calculation is a sound first read for torque. For tension, the simulation is needed before trusting the number.

So the question became: what should change?

07 Revision

When a design missed the criteria, I changed the arrangement and tested it again.

The limits of B and C could not change, so the load had to. Shortening the heavy-weight drillpipe and extending the drillpipe by the same length keeps the string's reach but hangs less weight below its weakest point, near the surface.

Heavy-weight pipe was the lever, not the collars: collars stiffen the bottom of the string; heavy-weight pipe is flexible weight. Less weight also means less push when running in, so drag and buckling were re-checked after every change.

Needs revision
Design B: checks before revision
CheckHand calc.Simulation
TensionMeets study criteriaNeeds review
TorqueNeeds reviewExceeds a limit
DragMeets study criteriaMeets study criteria
BucklingMeets study criteriaMeets study criteria

Conceptual visualization — not operational data

A conceptual reconstruction of the study's conclusion — the real lengths changed are not shown.

08 Conclusion

The outcome was not a single number. It was a reasoned design decision, checked through two methods.

  • A
    Recommended in the initial study

    Met all four checks in both methods.

  • B
    Meets study criteria after revision

    Heavy-weight section shortened, drillpipe extended.

  • C
    Meets study criteria after revision

    Needed a larger shift than B.

Hand calculation and simulation did not always give the same number — close for torque, far apart for tension. The evaluation therefore never rested on one method alone.

See the method

What I would test next

  • Compare against actual drilling records from the well.
  • Run a sensitivity study on component lengths and operating loads.
  • Add checks for other effects such as vibration.
  • Cross-check with a second simulation tool.