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Gas Compressors                                               145


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        PROBLEMS
                                                            5
        6.1 A well is cased from the surface to 5,000 ft with API 8 / 8 -in diameter,
            28-lb/ft nominal casing. It is to be drilled ahead to 8,000 ft with a
            7 7 / 8 -in-diameter rotary drill bit using air as a circulating fluid at an
            ROP of 90 ft/hr and a rotary speed of 60 rpm. The drill string is
                                                13
                                  3
            made up of 400 ft of 6 / 4 -in OD by 2 / 16 -in ID drill collars and
                            1
            7,600 ft of API 4 /-in-diameter, 16.60-lb/ft nominal EU-S135, NC
            50 drill pipe. The bottomhole temperature is expected to be 140°F.
            It is assumed that the annular pressure at the collar shoulder is 75
            psia. Calculate the minimum required gas injection rate when the bit
            reaches the total depth (TD) using (1) the minimum velocity
            criterion and (2) the minimum kinetic energy criterion.
        6.2 A well is designed to drill to a TD of 9,205 ft. It is cased to 3,050 ft
                    5
            with a 9 / 8 -in, 40-lb/ft (8.835-in ID) casing. Starting from the
            kickoff point at 3,075 ft, the hole is to be drilled with mud using a
            7 7 / 8 -in bit to build an inclination angle at a constant build rate of
            4°/100 ft until the maximum inclination angle of 55 degrees is
            reached. Then the drilling fluid will be shifted from mud to air to
            drill a slant hole to the TD. The following additional data are given.
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