Penetration rate - Drill-rate model - Alternative equation

Input(s)

$K^{\prime}$: Drill-Rate Model Proportionality Constant (dimensionless)

$N$: Bit rotating Speed (rev/min)

$a_{N}$: Rotating Speed Exponent (dimensionless)

Output(s)

$R$: Penetration Rate $(\mathrm{ft} / \mathrm{h})$

Formula(s)

$$ \log R=\log K^{\prime}+a_{N} \log N $$

Reference(s)

Watson, D., Brittenham, T., \& Moore, P. L. (2003). Advanced Well Control (Vol. 10). Society of Petroleum Engineers, Page: 49.