Page 17 - Formulas and Calculations for Petroleum Engineering
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10  Formulas and calculations for petroleum engineering



              Formula(s)
                                                            N pcf   N pncf
                                                        CI ¼
                                                            N  N  pncf
                                                             pu

              Reference: Willhite, G.P. 1986. Waterflooding, Vol. 3. Richardson, Texas: Textbook Series, SPE, Chapter: 2, Page: 166.


              1.18   Cumulative effective compressibility—Fetkovich
              Input(s)

                 S wi :  Initial Water Saturation (fraction)
                 c :  Cumulative Total Water Compressibility (1/psi)
                 w
                 M:   Dimensionless Volume Ratio (dimensionless)
                                                        –1
                 c :  Total PV (Formation) Compressibility (psi )
                 f
              Output(s)

                 c :  Effective Compressibility (1/psi)
                 e

              Formula(s)

                                                     S   c + M   c + c  + c
                                                      wi  w       f   w    f
                                                  c ¼
                                                  e
                                                              1 S
                                                                  wi
              Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3,
              Page: 215,216.

              1.19   Cumulative gas production—Tarner’s method

              Input(s)

                 N:  Initial Oil-in Place (STB)
                 R s :  Gas Solubility (SCF/STB)
                 R si :  Initial Gas Solubility (SCF/STB)
                 B o :  Oil Formation Volume Factor at the Assumed Reservoir Pressure (bbl/STB)
                 B oi :  Oil Formation Volume Factor at Initial Reservoir Pressure (bbl/STB)
                 B g :  Gas Formation Volume Factor at the Assumed Reservoir Pressure (bbl/SCF)
                 N p :  Cumulative Oil Production (STB)



              Output(s)
                 G p :  Cumulative Gas Production (SCF)


              Formula(s)
                                                "                   !#      "      #
                                                             B  B            B
                                                              oi   o          o
                                         G ¼ N    R  R                  N       R
                                          p         si  s                 p       s
                                                               B             B
                                                                 g            g
              Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 5,
              Page: 340.
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