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50  Formulas and calculations for petroleum engineering



              1.113 Pseudo-steady state productivity of horizontal wells—Method 3

              Input(s)
                 m o :  Viscosity of Oil (cP)
                 s x :  Skin Factor (dimensionless)
                 h:  Thickness of Reservoir (ft)
                 k v :  Vertical Permeability (mD)
                 k h :  Horizontal Permeability (mD)
                 F:  Dimensionless Function (ft)
                 L:  Length of Fracture (ft)


              Output(s)

                 J h :  Pseudo-steady State Productivity of Horizontal Wells (bbl/day psi)

              Formula(s)

                                                                 h

                                                               70:6   m o
                                                J ¼ k
                                                 h   h                  0:5
                                                             h       k h
                                                       F +                  s x
                                                           0:5   L   k
                                                                      v
              Reference: Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 7,
              Page: 224.

              1.114 Pseudo-steady state radial flow equation

              Input(s)

                 k:  Permeability (mD)
                 h:  Thickness of Reservoir (ft)
                 P i :  Average Reservoir Pressure (psi)
                 P wf :  Well Flowing Pressure (psi)
                 B:  Formation Volume Factor (bbl/STB)
                 m:  Viscosity (cP)
                 r e :  Drainage Radius (ft)
                 r w :  Wellbore Radius (ft)


              Output(s)
                 Q:   Flow Rate (STB/day)


              Formula(s)


                                                     0:00708   k   h   P  P wf
                                                                     i
                                                  Q ¼
                                                                 r e
                                                      B   m    ln    0:75
                                                                r
                                                                 w
              Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 1,
              Page: 33.
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