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94  Formulas and calculations for petroleum engineering



              2.44   Curvature radius for a borehole

              Input(s)
                 C:  Constant Related to the Unit of Borehole Curvature (unitless)
                 k:  Curbature of Wellbore Trajectory (degree/100ft)


              Output(s)
                 R:  Curvature Radius of Borehole (ft)


              Formula(s)

                                                             180   CðÞ
                                                         R ¼
                                                            3:1415   k

              Reference: Samuel. E Robello. 501 Solved Problems and Calculations for Drilling Operations. Sigma Quadrant. 2015.
              Houston, Texas, Page: 77.

              2.45   Cutting slip velocity

              Input(s)
                 PV:   Plastic Viscosity (cP)
                 MW:    Mud Weight (ppg)
                 Dp:   Diameter of Particle (in.)
                 DenP:   Density of Particle (ppg)

              Output(s)

                 V s :  Slip Velocity (ft/min)

              Formula(s)


                                                   0 0 0            1                1      1 0:5

                                           PV      B B B   36800    C       DenP     C      C
                              V ¼ 0:45             B B B           C   Dp            C     1C
                                                                    C
                               s                    B B B          2              1 C +1 C
                                        MW   Dp    @ @ @    PV      A        MW      A      A
                                                          MW   Dp
              Reference: Lapeyrouse, N. J., 2002, Formulas and Calculations for Drilling, Production and Workover, Second Edition
              Gulf Professional, Publishing, Page: 176.


              2.46   Cuttings produced per foot of hole drilled—bbls

              Input(s)
                 D h :  Diameter of Bit or Hole Size (Plus Washout) (in.)
                 Ø:   Porosity (fraction)


              Output(s)

                 V c :  Amount of Cuttings Produced per each Foot of Hole Drilled (bbls)
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