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Drilling engineering formulas and calculations Chapter  2  139



             2.153 Mudcake permeability—Formation invasion

             Input(s)
                m:   Viscosity (cP)
                h(t):  Filtrate Height (in.)
                x c (t):  Mudcake Growth by time (in./s)
                Dp:   Pressure Change (psi)
                t:  Time (s)


             Output(s)
                                                                     2
                k:   Viscous Shear Stress at the outer Mudcake boundary (lb/in. )

             Formula(s)


                                                           m htðÞx tðÞ
                                                                 c
                                                        k ¼
                                                             ð 2tDpÞ
             Reference: Chin, W. C. (1995). Formation Invasion, Page: 95.

             2.154 New pump circulating pressure

             Input(s)

                P p :  Present Circulating Pressure (psi)
                q n :  New Pump Rate (spm)
                q o :  Old Pump Rate (spm)

             Output(s)

                P c :  New Circulating Pressure (psi)

             Formula(s)

                                                                    2

                                                                q n
                                                       P ¼ P
                                                         c   p
                                                                q o
             Reference: Lapeyrouse, N. J., 2002, Formulas and Calculations for Drilling, Production and Workover, Second Edition,
             Gulf Professional Publishing, Page: 27.

             2.155 Nozzle area calculation

             Input(s)

                F:   1st Nozzle Size (in.)
                C:   2nd Nozzle Size (in.)
                B:   3rd Nozzle Size (in.)


             Output(s)
                                   2
                N a :  Nozzle Area (in. )
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