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228 Formulas and calculations for petroleum engineering



              4.56   Perforation friction pressure

              Input(s)
                                 3
                 Q:   Flow Rate (m /min)
                 ρ:  Fluid Density (kg/L)
                 n:  Number of Perforations (unitless)
                 D p :  Diameter of Perforation (cm)
                 C:  Perforation Coefficient (0.6–1.0) (unitless)


              Output(s)

                 ΔP pf :  Perforation Friction Pressure (MPa)

              Formula(s)

                                                                   Q   ρ
                                                                    2
                                                   ΔP ¼ 22:335
                                                      pf         2   2   4
                                                                n   C   D
                                                                         p
              Reference: Daneshy, A. 2013. Fundamentals of Hydraulic Fracturing, Daneshy Consultants International, Page: 93.


              4.57   Perforation hole size (perforation)
              Input(s)

                 x:  Brinell Hardness of Casing of Interest (dimensionless)
                 d r :  Entrance Hole Diameter in Reference Casing (in.)
                 x r :  Brinell Hardness of Reference Casing (dimensionless)

              Output(s)

                 d:  Entrance Hole Diameter in Casing of Interest (in.)


              Formula(s)

                                                                      0:5
                                                        ½ 2;250 + 4:2x Š
                                                                   r
                                                    d ¼                d r
                                                         ½ 2;250 + 4:2xŠ
              Reference: Bell, W. T., Sukup, R. A., & Tariq, S. M. (1995). Perforating. Henry L. Doherty Memorial Fund of AIME, Society
              of Petroleum Engineers., Page: 50.

              4.58   Perforation length in formation

              Input(s)

                 L pr :  Total Target Penetration in Reference Target (in.)
                 d wb :  Wellbore Diameter (in.)
                 d ci :  Casing Inner Diameter (in.)


              Output(s)

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