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.