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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)
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