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222 Formulas and calculations for petroleum engineering



              Formula(s)

                                                                           L
                                             ΔP ¼ 518   ρ 0:79    q 1:79    μ 0:207
                                               f                              4:79
                                                                       1000   D

              Reference: Boyun, G., William, C., & Ali Ghalambor, G. (2007). Petroleum Production Engineering: A Computer-Assisted
              Approach, Page: 16/246.

              4.41   Gas velocity under sonic flow conditions (through choke)

              Input(s)

                 K s :  Empirical Gas Constant (ft/s)
                 ρ l :  Liquid Density (g/cc)
                 ρ g :  Gas Density (g/cc)


              Output(s)
                 v:  Allowable Gas Velocity (ft/s)


              Formula(s)

                                                                     0:5
                                                                   !
                                                              ρ  ρ
                                                      v ¼ K    l   g
                                                                ρ g
                                                          s
              Reference: John M. Campbell, 1992. Gas Conditioning and Processing, Campbell Petroleum Series, Oklahoma, Vol. 2,
              Page: 73.


              4.42   Hydraulic fracture efficiency
              Input(s)

                 x:  Fracture Length (ft)
                 t:  Injection Time (min)
                                                p
                                                  ffiffiffiffiffiffiffiffiffi
                 C:   Fracture Liquid Coefficient m= min)
              Output(s)

                 η:  Hydraulic Fracture Efficiency (%)

              Formula(s)



                                                      1     x 2      2x
                                                  η ¼      e erfc xðÞ + p  1
                                                      x 2             π
                                                                      ffiffiffi
                                                                Z ∞
                                                              2      t 2
                                                      erfc xðÞ ¼ ffiffiffip  e  dt
                                                               π
                                                                 x
                                                                p ffiffiffiffi
                                                                 πt
                                                          x ¼ 2C
                                                                W
              Reference: Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 23.
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