Page 244 - Formulas and Calculations for Petroleum Engineering
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Production engineering formulas and calculations Chapter  4  237




                k v :  Horizontal permeability (mD)
                k h :  Vertical permeability (mD)
                r w :  Wellbore dia (ft)



             Output(s)

                b:   Penetration ratio (dimensionless)
                A:   Constant for calc (dimensionless)
                B:   Constant for calc (dimensionless)
                h d :  Dimensionless payzone thickness (dimensionless)
                s p :  Skin due to partial penetration (dimensionless)



             Formula(s)

                                                               h
                                                                p
                                                           b ¼
                                                               h

                                                           h      k h
                                                       A ¼    sqrt
                                                          r       k
                                                           w       v
                                                               h
                                                       B ¼
                                                          h +0:25   h
                                                           1        p
                                                               h
                                                       h ¼
                                                        d
                                                           h +0:75   h p
                                                            1
                                            1 b         h d     1     b       A 1
                                       s ¼        ln π      +   ln        sqrt
                                        p
                                             b          2    b      b +2     B 1
             Reference: Horizontal Well Technology, Joshi, Page: 498.


             4.74    Pseudo-skin factor due to perforations
             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)
                k v :  Horizontal permeability (mD)
                k h :  Vertical permeability (mD)
                r w :  Wellbore dia (ft)



             Output(s)

                b:   Penetration ratio (dimensionless)
                A:   Constant for calc (dimensionless)
                B:   Constant for calc (dimensionless)
                h d :  Dimensionless payzone thickness (dimensionless)
                s p :  Skin due to partial penetration (dimensionless)
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