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18  Formulas and calculations for petroleum engineering



              Output(s)

                 a g :  Retained Gas Volume of the Total Gas (fraction)

              Formula(s)
                                                       0                    1
                                                               N   R p
                                                                 p
                                                a ¼ 1   @                   A
                                                 g
                                                         N   R   N N      R
                                                             si       p    s
              Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 4,
              Page: 314.

              1.37   Fractional gas recovery below the critical desorption pressure in coal
              bed methane reservoirs

              Input(s)
                 V m :  Langmuir (constant)
                 G c :  Gas Content at Critical Desorption Pressure (SCF/ton)
                 b:  Langmuir (constant)
                 P:  Pressure of Reservoir (psi)
                 a:  Recovery Exponent (dimensionless)


              Output(s)
                 RF:   Recovery Factor (fraction)


              Formula(s)
                                                                           a
                                                           V m     b   P
                                                 RF ¼ 1         *
                                                            G     1+b   P
                                                             c
              Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3,
              Page: 223.


              1.38   Free gas in place
              Input(s)

                 A:   Drainage Area (acres)
                 h:  Thickness (ft)
                 Ø:   Porosity (fraction)
                 S wi :  Initial Water Saturation (fraction)
                 E gi :  Gas Expansion Factor at Initial Reservoir Pressure (SCF/bbl)

              Output(s)

                 G f :  Original Free Gas-in-Place (SCF)


              Formula(s)
                                                G ¼ 7758   A   h   Ø   1 S Þ   E
                                                                  ð
                                                 f                     wi   gi
              Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3,
              Page: 227.
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