Page 35 - Formulas and Calculations for Petroleum Engineering
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28  Formulas and calculations for petroleum engineering



              Formula(s)

                                                                      t bt

                                               t
                                               dbt  ¼ k   r  r g
                                                    v
                                                         o
                                                                364:72 h   ø   m o
                                                                      B o
                                           q ¼ 325:86   m   q
                                            d           o  o       0:5
                                                             ð k *k Þ
                                                               v  h    h   r  r g
                                                                           o
              Reference: Horizontal Well Technology, Joshi, Page: 301.
              1.61   Horizontal well critical rate correlation—Chaperon

              Input(s)

                 r o :  Oil Density (g/cc)
                 r w :  Water Density (g/cc)
                 x A :  Location of a Constant Pressure Boundary (ft)
                 h:  Oil Column Thickness (ft)
                 m o :  Oil Viscosity (cP)
                 F:  F ¼ 5.48 for k v /k h ¼ 1, F ¼ 4.8 for k v /k h ¼ 0.01 and F ¼ 4.16 for k v /k h ¼ 0.01 (mD)
                 k h :  Horizontal Permeability (mD)
                 L:  Horizontal Well Length (m)


              Output(s)
                                       3
                 Q c :  Critical Oil Rate (m /h)


              Formula(s)

                                                            L                  F
                                                         5       2
                                           Q ¼ 3:486   10        h   r  rð  Þ
                                             c                       w    o
                                                             x
                                                                              h
                                                              A              k   m o
              Reference: Chaperon, I. 1986. Theoretical Study of Coning Toward Horizontal and Vertical in Anisotropic Formations:
              Subcritical and Critical Rates. SPE ATCE, New Orleans, Louisiana.
              1.62   Horizontal well critical rate correlations—Efros

              Input(s)

                 r o :  Oil Density (g/cc)
                 r w :  Water Density (g/cc)
                 y e :  Half of Horizontal Well Spacing (ft)
                 h:  Oil Column Thickness (ft)
                 m o :  Oil Viscosity (cP)
                 B o :  Oil Formation Volume Factor (RB/STB)
                 k h :  Horizontal Permeability (mD)
                 L:  Length of Reservoir (ft)


              Output(s)

                 q o :  Critical Oil Rate (STB/day)
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