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Drilling engineering formulas and calculations Chapter 2 143
2.162 Overall power system efficiency
Input(s)
P: Power Output (hp)
Q i : Total Heat Energy consumed by the Engine (hp)
Output(s)
E i : Total Heat Energy consumed by the Engine (hp)
Formula(s)
P
E ¼
i
Q
i
Reference: Bourgoyne, A. T., Millheim, K. K., Chenevert, M. E., & Young, F. S. (1986). Applied Drilling Engineering,
Page: 7.
2.163 Penetration rate—Drill-rate model—Alternative equation
Input(s)
0
K : Drill-Rate Model Proportionality Constant (dimensionless)
N: Bit rotating Speed (rev/min)
a N : Rotating Speed Exponent (dimensionless)
Output(s)
R: Penetration Rate (ft/h)
Formula(s)
0
logR ¼ logK + a logN
N
Reference: Watson, D., Brittenham, T., & Moore, P. L. (2003). Advanced Well Control (Vol. 10). Society of Petroleum
Engineers, Page: 49.
2.164 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 (rev/min)
W: Applied Bit Weight (lbf)
a W : Bit Weight Exponent (dimensionless)
a N : Rotating Speed Exponent (dimensionless)