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Drilling engineering formulas and calculations Chapter  2  107



             Formula(s)

                                                              k   b f
                                                               f
                                                         F  ¼
                                                          CD
                                                               k   x
                                                                  f
                                                                 k   b f
                                                                  f
                                                      r ¼ 0:2807
                                                       w
                                                                   k
             Notes: r w is valid if F CD <0.1.
             Reference: Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma:PennWell Publishing Company. Chapter: 5,
             Page: 135.


             2.75    Effective wellbore radius in infinite-conductivity fractures

             Input(s)
                x f :  Fracture Half Length (ft)
                L:   Total Fracture Length (ft)


             Output(s)

                r w :  Effective Wellbore Radius (ft)
                r w :  Effective Wellbore Radius (ft)


             Formula(s)


                                                               L
                                                           r ¼
                                                            w
                                                               4
                                                               x f
                                                           r ¼
                                                            w
                                                               2
             Notes: Check Validity, for  x f  <¼ 0:30where x e is Half Length of a Side of a Drainage Area Square.
                                   x e
             Reference: Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter:5,
             Page: 134.


             2.76    Efficiency of block and tackle system
             Input(s)

                F h :  Load Hoisted (lb)
                v t :  Traveling Block Velocity (fpm)
                F f :  Load in Fast Line (lb)
                v f :  Fast Line Speed (fpm)



             Output(s)
                E:   Efficiency (fraction)
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