Penetration rate - Drill-rate model - Basic equation
Input(s)
\(d_{b}\): Bit Diameter (in.)
\(K\): Drill-Rate Model Proportionality Constant (dimensionless)
\(N\): Bit rotating Speed \((\mathrm{rev} / \mathrm{min})\)
\(W\): Applied Bit Weight (lbf)
\(a_{W}\): Bit Weight Exponent (dimensionless)
\(a_{N}\): Rotating Speed Exponent (dimensionless)
Output(s)
R: Penetration Rate \((\mathrm{ft} / \mathrm{h})\)
Formula(s)
\[
R=K\left(\frac{W}{d_{b}}\right)^{a_{W}} N^{a_{N}}
\]
Reference(s)
Watson, D., Brittenham, T., & Moore, P. L. (2003). Advanced Well Control (Vol. 10). Society of Petroleum Engineers, Page: 48.