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Production engineering formulas and calculations Chapter  4  211



             Output(s)

                c f :  Cumulative Present Value of Production ($)

             Formula(s)

                                                              k  W
                                                               f
                                                          c ¼
                                                           f
                                                              k  h
             Reference: Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 92.

             4.16    Choke discharge coefficient

             Input(s)
                d:   Upstream Pipe Diameter (in.)
                d c :  Choke Diameter (in.)
                N R :  Reynold’s Number based on d c (dimensionless)


             Output(s)
                C d :  Choke Discharge Coefficient (dimensionless)


             Formula(s)

                                                     0       1

                                                d c  B       C
                                                       0:3167 C
                                          C ¼        B    C +0:025   log N Þ 4ð  ð  Þ
                                           d       + B     0:6              R
                                                d    @  d c  A
                                                        d
             Reference: Boyun, G., William, C., & Ali Ghalambor, G. (2007). Petroleum Production Engineering: A Computer-Assisted
             Approach, Page: 5/60.


             4.17    Close-ended displacement volume of pipe

             Input(s)
                D o :  Outside Diameter of Pipe (in.)
                L:   Length of Pipe (ft)

             Output(s)

                V c :  Close-ended Diameter of Pipe (bbl)

             Formula(s)

                                                                 2
                                                 V_c ¼ 0:7854   D   L =808:5
                                                                o
                                                                   2
                                                          0:7854   D   L
                                                                   o
                                                      V ¼
                                                       c
                                                              808:5
             Reference: Samuel. E Robello. 501 Solved Problems and Calculations for Drilling Operations. Sigma Quadrant. 2015.
             Houston, Texas, Page: 45.
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