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Reservoir engineering formulas and calculations Chapter  1  39



             1.88    Maximum height of oil column in cap rock

             Input(s)
                P a :  Total Potential energy of accumulation (psi)
                P w :  Water Potential in Reservoir (psi)
                                                              2
                G o :  Initial oil pressure gradient in Reservoir rock (cm )
                a:   Height Constant (dimensionless)
                h:   Depth (ft)
                P c :  Capillary Pressure (psi)
                r:   Density differential between fluids (ppg)


             Output(s)

                H:   Maximum Height of Oil Column (ft)


             Formula(s)

                                                      P  P + G   h   a + P c
                                                                o
                                                            w
                                                       a
                                                   H ¼
                                                             r G  o
             Reference: Tarek Ahmed, Paul McKinney, Advanced Reservoir Engineering, Gulf Publishing House, Burlington, MA,
             2015.

             1.89    Modified Cole plot

             Input(s)
                G:   Gas in Place (SCF)
                W e :  Cumulative Water Influx (bbl)
                E t :  Total Expansion Term (bbl/SCF)


             Output(s)
                F
                 :   Fluid Withdrawal (bbl)
                E t
             Formula(s)


                                                        F       W e
                                                          ¼ G+
                                                        E        E
                                                         t        t
             Reference: Ahmed, T., McKinney P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3,
             Page: 212.


             1.90    Modified Kozeny-Carman relationship

             Input(s)
                Ø:   Porosity (fraction)
                Øc:   Percolation Porosity (fraction)
                B:   Geometric Factor (fraction)
                d:   Average Grain Diameter (m)
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