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100                                           Part I Liquid Drilling Systems


        liner to escape from the narrow drill pipe interior to the larger annulus
        between the drill pipe and casing. Equipped with this tool, the system
        now has two areas of fluid communication between the pipe interior and
        the annulus: one at the bottom of the liner (autofill float equipment) and
        one at the top of the liner (circulation sub). Displaced fluid seeks the
        path of least resistance. This device helps to reduce the surge pressure
        depending on the wellbore configurations and the location of the flow
        diverter tool.
           Numerical methods are used to obtain the correct flow split percen-
        tage when communications exist between the pipe interior and the annu-
        lus. The flow split is chosen such that the sum of hydrostatic and
        frictional pressures in the pipe interior and through the bit (autofill float
        equipment) will equal the sum of the hydrostatic and frictional pressures
        in the annulus.
           Figure 4.9 shows the wellbore configuration used for an example
        calculation. The riser (ID = 17.755 in) depth is 3,500 ft. The casing






                                 Riser ID = 17.755in @ 3,500ft




                               DP OD× ID= 5.5× 4.778 in, Len=9,445ft


                               Location of circulation sub = 9,445ft
                               TOL= 9,500 ft
                               Hanger OD× ID= 12.25 × 4.778in, Len=40ft
                               Tool OD× ID= 11.75× 4.778 in, Len=15ft
                               Casing ID = 12.715in @ 10,000ft
                               Liner OD × ID= 11.75× 10.772in, Len =5,500ft





                               Autofill, TFA= 4.91sq. in (ID= 2.5 in)
                               Open Hole ID= 14.5in
                               TD/TVD= 15,000ft /15,000ft
        Figure 4.9 Example of a wellbore configuration.
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