Page 243 - Formulas and Calculations for Petroleum Engineering
P. 243

236 Formulas and calculations for petroleum engineering



                                                                       h
                                                   h  ¼ C   b   1 bð  Þ    d
                                                    wd    d              C
                                                                      2:71
                                                                         1
                                                         1 b
                                                     s ¼       ln h
                                                      p            f wdg
                                                           b
              Reference: Horizontal Well Technology, Joshi, Page: 496.

              4.72   Pseudo-skin factor due to partial penetration (Odeh correlation)

              Input(s)
                 h 1 :  Distance from payzone top to top of open interval (ft)
                 h p :  Perforation interval (ft)
                 h:  Total pay thickness (ft)
                 r w :  Wellbore Dia (ft)
                 k v :  Horizontal Permeability (mD)
                 k h :  Vertical Permeability (mD)


              Output(s)

                 z m :  Well Perforation Distance (ft)
                 h d :  Dimensionless Payzone Thickness (dimensionless)
                 b:  Penetration Ratio (dimensionless)
                 r wc :  Effective Wellbore dia (ft)
                 s p :  Skin due to partial penetration (dimensionless)

              Formula(s)

                                                                h
                                                                 p
                                                           z ¼
                                                            m
                                                                h

                                                           h       k h
                                                       h ¼     sqrt
                                                        d
                                                           r       k
                                                            w       v
                                                                 h p
                                                          b ¼ h +
                                                               1
                                                                  2

                                                                        z m
                                                              0:2126  2:753 +
                                                  r ¼ r   2:71           h
                                                   wc   w

                                     1    0:825
                          s ¼ 1:35     1         ln r   h +7ð  Þ 1:95  ln r    0:49 + 0:1   ln r   h Þð  ð  Þ
                          p                         w   d               f wcg               w   d
                                     b
              Reference: Horizontal Well Technology, Joshi, Page: 495.
              4.73   Pseudo-skin factor due to partial penetration (Papatzacos correlation)
              Input(s)
                 h p :  Perforation interval (ft)
                 h:  Total pay thickness (ft)
                 h 1 :  Distance from top of reservoir to top of
                      open interval (ft)
   238   239   240   241   242   243   244   245   246   247   248