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Drilling engineering formulas and calculations Chapter  2  117



             Formula(s)

                                                               q   P
                                                         HHP ¼
                                                               1714

             Reference: Samuel. E Robello. 501 Solved Problems and Calculations for Drilling Operations. Sigma Quadrant. 2015.
             Houston, Texas, Page: 46.

             2.98    Hydraulics analysis

             Input(s)
                N 1 :  Jet Size for nozzle 1 (in.)
                N 2 :  Jet Size for nozzle 2 (in.)
                N 3 :  Jet Sizefor nozzle 3 (in.)
                Q:   Circulation Rate (gpm)
                Dh:   Diameter of Hole (in.)
                Dp:   Dia of Drill Pipe (in.)
                MW:    Mud Weight (psi)
                B:   Bit Size (in.)
                P s :  Surface pressure (psi)


             Output(s)
                AV:    Annular Velocity (ft/min)
                Pb:   Bit Nozzle Pressure Loss (psi)
                HHP:    Hydraulic Horsepower at bit (hp)
                                                       2
                HHPba:    Power per unit area in sq inc (hp/in. )
                P psib :  Percentage pressure loss at bit (percent)
                V n :  Jet Velocity (ft/s)
                                                        2
                IFa:  Impact force per unit area in sq inc (lb/in. )

             Formula(s)

                                                                  Q
                                                     AV ¼ 24:5
                                                                 2
                                                               Dh  Dp 2
                                                                   MW
                                                            2
                                                Pb ¼ 156:5   Q
                                                                  2  2   2    2
                                                                N + N + N
                                                                 1   2   3
                                                                  Q
                                                       HHP ¼ P
                                                               s
                                                                 1714
                                                                    1:27
                                                   HHPba ¼ Q   Pb
                                                                  1714   B 2
                                                                 100
                                                        P   ¼ Pb
                                                         psib
                                                                  P
                                                                   s
                                                                  Q
                                                    V ¼ 417:2
                                                     n         2   2   2
                                                              N + N + N
                                                               1   2   3
                                                                    1:27
                                                  IFa ¼ MW   V   Q
                                                             n
                                                                  1930   B 2
             Reference: Formulas and Calculations for Drilling, Production and Workover, Second Edition, Lapeyrouse, Page: 170.
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