Page 41 - Formulas and Calculations for Petroleum Engineering
P. 41

34  Formulas and calculations for petroleum engineering



              1.75   Interporosity flow coefficient

              Input(s)
                                                   2
                 A:   Surface Area of the Matrix Block (ft )
                                               3
                 V:   Volume of the Matrix Block (ft )
                 x:  Characteristic Length of the Matrix Block (ft)
                 k m :  Permeability of Matrix (mD)
                 k f :  Permeability of Fracture (mD)
                 r w :  Wellbore Radius (ft)


              Output(s)
                                            2
                 a:  Block-Shape Parameter (1/ft )
                 l:  Interporosity Flow Coefficient (dimensionless)

              Formula(s)

                                                               A
                                                           a ¼
                                                              V   x
                                                                   2

                                                           a   k   r w
                                                               m
                                                        l ¼
                                                               k
                                                                f
              Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 1,
              Page: 82.
              1.76   Interstitial velocity

              Input(s)
                                 3
                 q:  Flow Rate (cm /s)
                 Ø:   Porosity (fraction)
                             2
                 A:   Area (cm )

              Output(s)
                 V:   Interstitial Velocity (cm/s)


              Formula(s)

                                                                q
                                                          V ¼
                                                              Ø   A

              Reference: Civan, F. Reservoir Formation Damage: Fundamentals, Modeling, Assessment, and Mitigation. Gulf Pub-
              lishing Company, Houston, Texas, Page: 493.


              1.77   Isothermal compressibility of oil—Vasquez-Beggs correlation—P > Pb

              Input(s)
                 p:  Pressure (psi)
                 T:  Temp (F)
                 g g :  Specific Gravity of Gas (fraction)
                 R sob :  Solution oil gas ratio at bubble point (fraction)
                 r:  Density of oil (API)
   36   37   38   39   40   41   42   43   44   45   46