Drill-Rate Model Penetration Rate Formula
Drill-Rate Model Penetration Rate calculates penetration rate for drilling operations and economics workflows in drilling engineering.
How engineers use this formula
Use this formula when the listed inputs (d_b, K, N, W, a_W, a_N) are known and the assumptions behind the cited drilling operations and economics 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, R equals 57.994153 ft/h.
8.5
0.0015
120
30000
1
0.5
Inputs
d_b
inBit diameter
K
empiricalDrill-rate model proportionality coefficient
N
rev/minBit rotary speed
W
lbfApplied bit weight
a_W
dimensionlessBit-weight exponent
a_N
dimensionlessRotary-speed exponent
Outputs
R
Penetration rate
K
Drill-rate model proportionality coefficient
W
Applied bit weight
d_b
Bit diameter
N
Bit rotary speed
Source and review
reviewedAdvanced Well Control, Watson, D., Brittenham, T., Moore, P.L. (2003)
Watson, D., Brittenham, T., and Moore, P.L. 2003. Advanced Well Control, Vol. 10, Society of Petroleum Engineers, Page 48.