Page 113 - Formulas and Calculations for Petroleum Engineering
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106 Formulas and calculations for petroleum engineering



              Formula(s)


                                                      r ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
                                                        n                       o
                                                           2
                                                                      1
                                           x tðÞ ¼  H +   H +2 Hx   + ⁄2x  2  + Gt
                                            f                     f,o   f,o
                                                             (                         )
                                                              m k   k 1        eff s
                                          n               o.                 Ø f
                                                               o 1
                                    G ¼  k p  pð   Þ=m Ø
                                            1  m  r   f  eff
                                                              m k   k    ð 1 Ø Þ 1 f
                                                                f 3  2        c     s
                                      "                      # (                         )
                                           x Ø f        m k L  .  m k  k        Ø f
                                            f ,o  eff s  o 1      o 1  1         eff s

                                  H ¼
                                        ð 1 Ø Þ 1 f     m k      m k   k   ð 1 Ø Þ 1 f
                                             c     s      f 3     f 3  2         c     s
              Reference: Chin, W. C. (1995). Formation Invasion, Page: 16.
              2.73   Effective weight during drilling
              Input(s)
                 w s :  Weight of Drillstring Material (lbs)
                 r o :  Density of Mud (ppg)
                 r s :  Density of Drillstring Material (ppg)


              Output(s)

                 w o :  Effective Weight (lbs)



              Formula(s)


                                                                   r o
                                                     w ¼ w   1
                                                           s
                                                      o
                                                                   r s
              Reference: Samuel. E Robello. 501 Solved Problems and Calculations for Drilling Operations. Sigma Quadrant. 2015.
              Houston, Texas, Page: 26.


              2.74   Effective wellbore radius for finite-conductivity fractures

              Input(s)
                 k f :  Fracture Conductivity (mD)
                 b f :  Fracture Width (ft)
                 k:  Formation Conductivity (mD)
                 x f :  Fracture Half Length (ft)


              Output(s)

                 F CD :  Dimensionless Fracture Conductivity (dimensionless)
                 r w :  Effective Wellbore Radius (ft)
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