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Underbalanced Drilling Operations                             227


        bottomhole pressure is called the maximum allowable pressure for stable
        foam drilling, and it can be solved from Eq. (10.4):

                                   4:07Tð1 − Γ min ÞGLR
                        P max =                                     (10.7)
                                           Q fx
                               Γ min 0:09358   + 0:13369
                                           Q l

           Assuming T = 520 °Rand Γ min = 0.55, the maximum pressures are
        calculated and plotted in Figure 10.15 for different values of Q fx /Q l .
        The figure indicates that the maximum pressure is less than 2,000 psia
        even with a GLR value of 20 scfm/gpm. This does not mean that
        wells cannot be drilled with foams when the bottomhole pressures are
        greater than 2,000 psia. In fact, many wells have been drilled with
        foams at bottomhole pressures higher than 2,000 psia. The explanation
        is that although the foams may not be stable at the bottomhole, hole
        cleaning can still be achieved with adequate mixture flow velocities in
        the annulus.
           With the constraint of GLR, the foam quality at the bottomhole will
        decrease to its minimum allowable value of quality Γ min at a critical depth.



            2000
                           Q /Q = 0 bbl/hr per gpm
                              l
                            fx
            1800           Q /Q = 1 bbl/hr per gpm
           Maximum Allowable Pressure (psia)  1400  Q /Q = 4 bbl/hr per gpm
                              l
                            fx
            1600
                           Q /Q = 2 bbl/hr per gpm
                            fx
                              l
                           Q /Q = 3 bbl/hr per gpm
                            fx
                              l
                              l
                            fx
            1200
                           Q /Q = 5 bbl/hr per gpm
                              l
                            fx
            1000
             800
             600
             400
             200
              0
                0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20
                                  Injection GLR (scfm/gpm)
        Figure 10.15 Effect of reservoir fluid influx on the maximum allowable pressure.
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