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216 Formulas and calculations for petroleum engineering



              Output(s)

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


              Formula(s)

                                                                 0:5
                                                               !
                                                             σ
                                                        d ¼   yr   d
                                                             σ y    r
              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.


              4.27   Equivalent skin factor in fractured wells
              Input(s)

                 x f :  Fracture Half Length (ft)
                 r w :  Wellbore Radius (ft)


              Output(s)

                 S f :  Equivalent Skin (unitless)


              Formula(s)


                                                                   x f
                                                       S ¼ 0:7  ln
                                                        f
                                                                   r
                                                                    w
              Reference: Boyun, G., William, C., & Ali Ghalambor, G. (2007). Petroleum Production Engineering: A Computer-Assisted
              Approach, Page: 17/257.


              4.28   Filter cake on the fracture (acidizing)
              Input(s)
                                             1/2
                 C w :  Fluid Loss Coefficient, (m/s )
                 p ffiffi            1/2
                  t:  Time root (s )

              Output(s)

                 v N :  Fluid Loss Velocity (m/s)


              Formula(s)

                                                               C w
                                                           v ¼ p
                                                            N    ffiffi
                                                                 t
              Reference: Williams, B. B., Gidley, J. L., & Schechter, R. S. (1979). Acidizing fundamentals. Henry L. Doherty Memorial
              Fund of AIME, Society of Petroleum Engineers of AIME, Page: 41.
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