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Reservoir engineering formulas and calculations Chapter  1  65



             Formula(s)

                                                            V   b   p
                                                             m
                                                        V ¼
                                                             1+ b   p

             Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 4,
             Page: 320.


             1.150 Volumetric heat capacity of a reservoir
             Input(s)
                                                         3
                M s :  Volumetric Heat Capacity of Solids (btu/ft F)
                Ø:   Porosity (fraction)
                S o :  Oil Saturation (fraction)
                                                      3
                M o :  Volumetric Heat Capacity of Oil (btu/ft F)
                S w :  Water Saturation (fraction)
                                                         3
                M w :  Volumetric Heat Capacity of Water (btu/ft F)
                S g :  Saturation of Gas (fraction)
                f:  Fraction of non-condensable Gases (fraction)
                                                         3
                M g :  Volumetric Heat Capacity of Gases (btu/ft F)
                r s :  Density of Solids (g/cc)
                C w :  Isobaric Specific Heat of Water (btu/lb F)
                DT:   Temperature Differential (K)
                L v :  Latent Heat of Vaporization (btu/lb)

             Output(s)
                                                           3
                M r :  Volumetric Heat Capacity of Reservoir (btu/ft F)

             Formula(s)


                                                                                      v
                                                                                     L   r s
                       M ¼ 1 ØÞ   M +Ø   M   S +Ø   S   M +Ø   S   f   M +1 fÞ            + r   C w
                            ð
                                                                            ð
                                                o
                                                           w
                                                                                             s
                                                       w
                                                                          g
                                                                  g
                         r
                                            o
                                     s
                                                                                      DT
             Reference: Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Chapter: 12, Page: 164.
             1.151 Water breakthrough correlation in vertical wells—Bournazel and Jeanson
             Input(s)
                h:   Oil Column Thickness (ft)
                                              2
                g:   Gravitational Acceleration (ft/s )
                k v :  Vertical Permeability (mD)
                r w :  Water Density (g/cc)
                m o :  Oil Viscosity (cP)
                r o :  Oil Density (g/cc)
                t BT :  Water Breakthrough Time (s)
                ø e :  Porosity (fraction)
                f m :  Mobility Function Ratio (dimensionless)
             Output(s)
                t d :  Dimensionless Breakthrough Time (days)
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