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38  Formulas and calculations for petroleum engineering



              Formula(s)
                                                                               2
                                                                1688   Ø   m   c   r
                                                                            t
                                                             ln                     2   s
                                                                      k   t
                                     P ¼ P +70:6   q   B   m
                                      wf
                                           i
                                                                       k   h
              Reference: Pressure Transient Testing, Lee, Rollins & Spivey, Page: 11.
              1.86   Low-pressure region gas flow rate for non-circular drainage area

              Input(s)
                 k:  Permeability (mD)
                 h:  Thickness (ft)
                 P r :  Average Reservoir Pressure (psi)
                 P wr :  Well Flowing Pressure (psi)
                 m gavg :  Average Gas Viscosity (cP)
                                                                                    2
                 Z avg :  Average Gas Compressibility Factor (Dimensionless) A: Drainage Area (ft )
                 C A :  Shape Factor (dimensionless)
                 r w :  Wellbore Radius (ft)
                 S:  Skin (dimensionless)
                 T:  Temperature (R)


              Output(s)
                 Q g :  Gas Flow Rate (MSCF/day)

              Formula(s)

                                                                         2
                                                               2
                                                     k   h    P     P
                                                              r      wf
                                     Q ¼                                          !    !
                                      g
                                                                          4   A
                                                     T   Z    0:5   ln            + S
                                         1422   m gavg  avg                      2
                                                                     1:781   C   r
                                                                            A    w
              Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3,
              Page: 189.
              1.87   Material balance for cumulative water influx—Havlena and Odeh
              Input(s)

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

              Output(s)

                 F:  Fluid Withdrawal (bbl)

              Formula(s)
                                                        F ¼ G   E +W e
                                                               G

              Reference: Ahmed, T., McKinney P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3,
              Page: 209.
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