Page 36 - Formulas and Calculations for Petroleum Engineering
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Reservoir engineering formulas and calculations Chapter  1  29



             Formula(s)

                                                                              L
                                            4       2
                              q ¼ 4:888   10    k   h   r  rð  Þ
                               o                h       w   o                           2    0:5 !
                                                                                     2  h
                                                               B   m     2*y +2*y    +
                                                                 o  o       e      e
                                                                                       3
             Reference: Horizontal Well Technology, Joshi, Page: 286–295.


             1.63    Horizontal well critical rate correlations—Giger and Karcher

             Input(s)

                Dr:   Specific Gravity Difference (g/cc)
                h:   Thickness (m)
                m:   Oil Viscosity (mPa s)
                B:   Oil Formation Volume Factor (RB/STB)
                k h :  Horizontal Permeability (mD)
                L:   Distance Between Lines of Horizontal Wells (m)
                                            2
                g:   Acceleration of Gravity (m/s )


             Output(s)
                                      3
                q c :  Critical Oil Rate (m /day)


             Formula(s)

                                                                               ! !
                                                    2
                                                                              2
                                                 h
                                                k   h   g   Dr        1    h
                                          q ¼                  1
                                           c
                                                  B   m   L           6    L
             Reference: B.J. Karcher, E.F. Aquitaine, F.M. Giger, Some Practical Formulas to Predict Horizontal Well Behavior.1986.
             SPE ATCE, New Orleans, Louisiana.

             1.64    Horizontal well critical rate correlations—Joshi method for gas coning
             Input(s)

                r o :  Oil Density (g/cc)
                r g :  Gas Density (g/cc)
                r e :  Effective Radius of drainage (ft)
                r w :  Radius of Wellbore (ft)
                l v :  Distance between Gas/Oil interphase and perforated top of Vertical Well (ft)
                h:   Oil Column Thickness (ft)
                m o :  Oil Viscosity (cP)
                B o :  Oil Formation Volume Factor (RB/STB)
                k h :  Horizontal Permeability (mD)


             Output(s)

                q o :  Critical Oil Rate (STB/day)
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