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44  Formulas and calculations for petroleum engineering



              1.100 Oil saturation at any depletion state below the bubble point pressure

              Input(s)
                 S wi :  Initial Water Saturation (fraction)
                 N p :  Cumulative Oil Production (STB)
                 N:   Oil in Place (STB)
                 B oi :  Initial Oil Formation Volume Factor (bbl/STB)
                 B o :  Oil Formation Volume Factor (bbl/STB)


              Output(s)
                 S o :  Oil Saturation (fraction)


              Formula(s)

                                                                  N      B

                                                                   p      o
                                                S ¼ 1 S Þ   1
                                                     ð
                                                  o      wi
                                                                  N     B
                                                                          oi
              Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 4,
              Page: 312.
              1.101 Original gas in place

              Input(s)
                 A:   Area of Reservoir (acres)
                 h:  Average Reservoir Thickness (ft)
                 Ø:   Porosity (fraction)
                 S wi :  Initial Water Saturation (fraction)
                 B gi :  Gas Formation Volume Factor at Initial Pressure (ft3/SCF)


              Output(s)
                 G:   Gas-in-Place (SCF)


              Formula(s)


                                                                    ð
                                                     43560   A   h   Ø   1 S Þ
                                                                         wi
                                                  G ¼
                                                               B
                                                                gi
              Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3,
              Page: 202.

              1.102 Payne method for intercompartmental flow in tight gas reservoirs
              Input(s)

                 k:  Permeability (mD)
                 T:  Temperature (°R)
                                         2
                 A:   Cross-Sectional Area (ft )
                 L:  Distance between the Center of the Two Compartments (ft)
                                                                   2
                 m(P 1 ):  Gas Pseudo pressure in Compartment (Tank) 1 (psi /cP)
                                                                 2
                 m(P 2 ):  Gas Pseudo pressure in Compartment (Tank) (psi /cP)
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