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Drilling engineering formulas and calculations Chapter  2  137



             Formula(s)

                                                                 n
                                                               ð
                                                         τ ¼ K   g Þ
             Reference: Samuel. E Robello. 501 Solved Problems and Calculations for Drilling Operations. Sigma Quadrant. 2015.
             Houston, Texas, Page: 184.

             2.148 Mud rheology calculations—Bingham plastic model

             Input(s)
                                       2
                τ y :  Yield Stress (lb/100 ft )
                m p :  Bingham Plastic Viscosity (cP)
                g:   Shear Rate (1/s)

             Output(s)
                                       2
                τ:   Shear Stress (lb/100 ft )

             Formula(s)


                                                                p
                                                           y
                                                       τ ¼ τ + m   g
             Reference: Samuel. E Robello. 501 Solved Problems and Calculations for Drilling Operations. Sigma Quadrant. 2015.
             Houston, Texas, Page: 185.

             2.149 Mud weight increase required to balance pressure

             Input(s)

                F:   Differential Force (lb)
                                             2
                A:   Area Below Casing Shoe (in. )
                L c :  Casing Length (ft)

             Output(s)
                W m :  Mud Weight increase Required (ppg)

             Formula(s)

                                                                F
                                                      W ¼
                                                        m
                                                           A   0:052   L
                                                                     c
             Reference: Lapeyrouse, N. J., 2002, Formulas and Calculations for Drilling, Production and Workover, Second Edition,
             Gulf Professional Publishing, Page: 67.

             2.150 Mud weight reduction by dilution—Water/diesel/any liquid

             Input(s)

                W 2 :  Required mud density (ppg)
                W 1 :  Initial Mud density (ppg)
                V m :  Initial Mud Volume (bbl)
                D w :  Water/Diesel density (ppg)
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