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Drilling engineering formulas and calculations Chapter  2  145



             2.167 Plug length to set a balanced cement plug

             Input(s)
                N s :  Number of Sacks of Cement to be Used (stroke)
                                       3
                AC:   Annular Capacity (ft /ft)
                                            3
                P c :  Pipe or Tubing Capacity (ft /ft)
                                                                                  3
                E:   Original+extra Volume Req in Percentage (fraction) Y s :Yield of Slurry (ft /stroke)
             Output(s)
                L p :  Length of Plug (stroke)


             Formula(s)

                                                             N   Y s
                                                               s
                                                       L ¼
                                                         p
                                                            AC   E+ P
                                                                    c
             Reference: Lapeyrouse, N. J., 2002, Formulas and Calculations for Drilling, Production and Workover, Second Edition,
             Gulf Professional Publishing, Page: 61.

             2.168 Polar moment of inertia

             Input(s)
                                                       4
                J b :  Polar Moment of Inertia of Pipe Body (ft )
                                                      4
                J j :  Polar Moment of Inertia of Tool Joint (ft )
                L:   Length of Pipe (ft)
                l:  Joint Tool Length (ft)


             Output(s)
                                                  4
                J p :  Polar Moment of Inertia of Pipe (ft )

             Formula(s)

                                                              J   J
                                                               b  j
                                                    p
                                                   J ¼
                                                        L l         l
                                                                J       J b
                                                                j
                                                          L        L
             Reference: Samuel. E Robello. 501 Solved Problems and Calculations for Drilling Operations. Sigma Quadrant. 2015.
             Houston, Texas, Page: 356.


             2.169 Polished rod horsepower—Sucker-rod pump
             Input(s)

                C:   Calibration Constant of Dynamometer (lb/in.)
                                         2
                A:   Upper Area of Card (in. )
                L:   Length of Card (in.)
                S:   Maximum Theoretical Polished Rod Position (in.)
                N:   Strokes Per Minute (spm)
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