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Drilling EngineeringDrillstring and Rig Mechanics

Maximum Weight on Bit Formula

WOB=LdWdBFcos(απ/180)SFWOB=\frac{L_dW_dBF\cos(\alpha\pi/180)}{SF}

Maximum Weight on Bit calculates maximum weight on bit for drillstring and rig mechanics workflows in drilling engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (L_d, W_d, BF, alpha, SF) are known and the assumptions behind the cited drillstring and rig mechanics relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, WOB equals 53,500.751626 lbf.

L_dft

500

W_dlbf/ft

147

BFdimensionless

0.85

alphadegree

10

SFdimensionless

1.15

Inputs

L_d

ft

Length of drill collars

W_d

lbf/ft

Unit weight of drill collars

BF

dimensionless

Buoyancy factor

alpha

degree

Wellbore inclination

SF

dimensionless

Safety factor

Outputs

WOB

lbf

Maximum weight on bit

L_d

ft

Length of drill collars

W_d

lbf/ft

Unit weight of drill collars

BF

dimensionless

Buoyancy factor

alpha

degree

Wellbore inclination

SF

dimensionless

Safety factor

Source and review

reviewed

501 Solved Problems and Calculations for Drilling Operations, Robello, S.E. (2015)

Samuel, E. Robello. 501 Solved Problems and Calculations for Drilling Operations, Sigma Quadrant, Houston, Texas, 2015, Page 380.

Source

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