Cuttings Transport Ratio Calculator

Model cuttings movement in annular flow with confidence. Choose slip models and apply corrections easily. Export results for reports, audits, and field decisions today.

Inputs
Use consistent units. Typical ranges are shown as hints.
Clear History
Example: 8.5
Example: 5.0
Example: 450
Example: 10.5
Example: 25
Example: 15
Example: 0.20 in (≈5.1 mm)
Typical rock: 2.4–2.8
0=vertical, 90=horizontal
Used only if rotation correction is enabled
General model handles higher Reynolds numbers
Both are reported in the results panel
Used for flow requirement estimate

Optional Corrections
Reduces effective lifting as the wellbore inclines.
Simple enhancement, capped at 1.50.
Scale Va_eff by your selected factor.
Results appear above this form after submission.
Saved Calculations
Up to 50 recent rows are kept in your browser session.
Download CSV
Time Hole/Pipe (in) Flow (gpm) Mud (ppg) Cut Size Incl (°) Model CTR (%) Status
No saved calculations yet.
Example Data Table
These are sample scenarios to illustrate typical inputs and outputs.
Hole ID (in) Pipe OD (in) Flow (gpm) Mud (ppg) PV / YP Cut Size Incl (°) Model CTR (%) Status
8.55.045010.525 / 150.20 in0General~70Excellent
12.255.550011.830 / 206 mm30General~55Good
6.1254.02209.818 / 100.12 in60Stokes~35Marginal
Formula Used
This tool uses standard relationships with practical engineering approximations.
1) Annular flow area and velocity
A = π/4 · (Dh2 − Do2)
Va = Q / A
2) Apparent viscosity (Bingham plastic estimate)
γ ≈ 4·Va / (Dh − Do)
μapp = μp + τy / γ
μp from PV, τy from YP.
3) Slip velocity (two options)
Stokes: Vs = ( (ρp − ρf) · g · d2 ) / (18 · μapp)
General: iterate using Schiller–Naumann drag for a sphere.
4) Cuttings Transport Ratio
Va,eff = Va · Fincl · Frot · Fecc
Vt = max(0, Va,eff − Vs)
CTR(%) = 100 · Vt / Va,eff
How to Use This Calculator
  1. Enter hole and pipe diameters, then input flow rate.
  2. Provide mud density, PV, and YP for viscosity effects.
  3. Set cuttings size, density, and well inclination angle.
  4. Select a slip model; enable corrections if needed.
  5. Press Submit and review results above the form.
Tip: Use the target CTR field to estimate required flow rate. Export CSV or PDF for documentation and reporting.

Annular Velocity Drives Cleaning

Cuttings transport improves as annular velocity rises. The calculator converts flow and annular area into velocity, so small diameter changes can shift results sharply. For example, reducing pipe OD increases annular area less than increasing hole ID, so velocity may fall even with the same pump rate. Many drilling programs track 120–200 ft/min in vertical intervals, then reassess in high-angle sections. Monitor both geometry inputs and pump rate together.

Mud Rheology Shapes Slip

Plastic viscosity and yield point influence apparent viscosity through a shear-rate estimate. Higher apparent viscosity lowers predicted slip velocity and generally raises the transport ratio. However, very high PV can increase circulating pressures and ECD, so improvements should be balanced against hydraulic limits. Use measured PV and YP from the active system for best consistency. Update inputs after each mud treatment or dilution cycle.

Particle Size And Density Matter

Larger or denser cuttings settle faster and demand more lift. The tool accepts cuttings size in inches or millimeters and converts internally for stable calculations. If density is close to fluid density, slip becomes small and transport improves. When using the general drag option, the calculation iterates drag to handle a wider Reynolds-number range. Stokes is best reserved for small particles and low-Re laminar settling.

Wellbore Effects And Corrections

Inclination reduces effective lifting because gravity acts against upward transport in deviated sections. A rotation factor can represent improved agitation and bed breakup, while an eccentricity factor can adjust for off-center pipe behavior. These are optional because their influence is field dependent. Apply them only when you can justify a calibrated factor. Record which factors were applied when exporting results for traceability.

Interpreting CTR And Planning Actions

CTR represents the fraction of effective annular velocity available after slip. Values above 70% suggest strong cleaning, 55–70% is typically good, and below 40% signals risk of beds and packoff. Pair CTR with torque, drag, and cuttings returns to validate the trend. Use the target CTR feature to estimate the pump rate needed to reach a chosen threshold, then evaluate whether that rate is operationally feasible. Document assumptions, then rerun scenarios during changing drilling conditions.

FAQs

What does cuttings transport ratio represent?

It estimates how much of the effective annular velocity remains after subtracting cuttings slip velocity. Higher values indicate better lifting capacity and reduced bed formation risk, assuming the inputs reflect current geometry, flow, and mud properties.

Which slip model should I choose?

Use the general drag option for most field cases because it adapts across a wider settling regime. Use the laminar option only when particles are small and Reynolds number is expected to be low.

Why does inclination reduce the result?

In deviated holes, gravity promotes settling and bed development. The inclination factor lowers effective lifting velocity to reflect this challenge. It is a simplified correction, so calibrate it against observed cuttings returns and downhole conditions.

How accurate is the required flow estimate?

It is a directional estimate based on the same slip model and correction factors you selected. Treat it as a planning number, then validate with hydraulics, pressure limits, ECD, and surface trends before changing pump rates.

What inputs change the outcome most?

Annular velocity and cuttings size typically dominate, followed by mud density and viscosity. Small geometry changes can shift velocity strongly, so verify hole and pipe sizes, then update PV and YP from the latest mud report.

Can I export results for reporting?

Yes. Download the current result or the saved history as CSV, and generate a PDF from the on-page buttons. Keep the same assumptions and factors across runs to maintain consistent comparisons between intervals.

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