Formula 2.35
Control drilling - Maximum drilling rate
Input(s)
q: Circulation Rate (gpm)
$\mathrm{D}_{\mathrm{h}}$: Hole Diameter (in.)
MW $_{\mathrm{o}}$: Mud Wt. out (ppg)
MW $_{\mathrm{i}}$: Mud Wt. in (ppg)
Output(s)
MDR: Maximum Drilling Rate (ft/h)
Formula(s)
$$ \mathrm{MDR}=67 *\left(\mathrm{MW}_{\mathrm{o}}-\mathrm{MW}_{\mathrm{i}}\right) * \frac{\mathrm{q}}{\left(\mathrm{D}_{\mathrm{h}}\right)^{2}} $$
Notes: The formula is valid when drilling in large diameter holes (14 3/4 in. and Larger).
Reference(s)
Lyons, W. C., Carter, T., and Lapeyrouse, N. J., 2012, Formulas and Calculations for Drilling, Production and Workover, Third Edition, Gulf Professional Publishing, Page: 24.