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Production engineering formulas and calculations Chapter  4  229



             Formula(s)


                                                   L ¼ L     0:5 d ð   d Þ
                                                    p    pc       wb   ci

             Reference: Bell, W. T., Sukup, R. A., & Tariq, S. M. (1995). Perforating. Henry L. Doherty Memorial Fund of AIME, Society
             of Petroleum Engineers, Page: 52.


             4.59    Perforation penetration ratio (formation of interest/reference formation)

             Input(s)
                c r :  Compressive Strength of reference Formation (ksi)
                c:   Compressive Strength of Formation of Interest (ksi)


             Output(s)

                L p :  Total Target Penetration in Formation of Interest (in.)
                L pr :  Total Target Penetration in Reference Formation (in.)



             Formula(s)

                                                     L
                                                      p
                                                       ¼ exp 0:086 c  c:Š
                                                                 ð
                                                            ½
                                                                   r
                                                    L
                                                     pr
             Reference: Bell, W. T., Sukup, R. A., & Tariq, S. M. (1995). Perforating. Henry L. Doherty Memorial Fund of AIME, Society
             of Petroleum Engineers, Page: 51.


             4.60    Perforation skin factor
             Input(s)

                s H :  Horizontal or Plane Flow Skin (dimensionless)
                s v :  Vertical or Converging Flow Skin (dimensionless)
                s wb :  Skin resulted by the Wellbore Effect (dimensionless)
                s pd :  Skin caused by the Damaged Zone around Perforation (dimensionless)



             Output(s)
                s p :  Perforation Skin (dimensionless)



             Formula(s)

                                                     s ¼ s + s + s wb  + s pd
                                                              v
                                                      p
                                                          H
             Reference: Bell, W. T., Sukup, R. A., & Tariq, S. M. (1995). Perforating. Henry L. Doherty Memorial Fund of AIME, Society
             of Petroleum Engineers, Page: 65.
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