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Mud Hydraulics Optimization                                   105


        REFERENCES
        Kendall, W.A., Goins, W.C., 1960. Design and operation of jet bit programs for
           maximum hydraulics horsepower, impact force, or jet velocity. Trans. AIME 219,
           238–247.
        Speer, J.W., 1958. A method for determining optimum drilling techniques. Drill. Prod.
           Prac. API, 130–147.
        Sutko, A.A., Myers, G.M., 1970. The effect of nozzle size, number, and extension on the
           pressure distribution under a tricone bit. SPE Paper 3109, presented at the Fall Meet-
           ing of SPE of AIME, October, Houston.

        PROBLEMS
        4.1 Predict the parasitic pressure loss under the following conditions:
            Total depth: 9,950 ft (3,036 m)
            Casing: 9⅝ in, 43.5 lb/ft (8.755-in ID), set at 6,500 ft (1,982 m)
            Open hole: 7⅞ in from 6,500 ft to 9,950 ft
            Drill pipe: 9,500 ft of 4½-in, 16.6 lb/ft (3.826-in ID)
            Drill collar: 450 ft of 6¾-in OD and 2¼-in ID
            Surface equipment: Combination 4
                                            3
            Mud weight: 12.5 ppg (1,498 kg/m )
            Plastic viscosity: 40 cp (0.04 Pa-s)
                                  2          2
            Yield point: 15 lb/100 ft (100 N/m )
                                          3
            Mud flow rate: 350 gpm (1.33 m /min)
        4.2 For the data in Problem 4.1, select a liner size for two TSC WF700
            Triplex pumps. Assume the flow rate exponent m = 1.75 and the
            maximum bit hydraulic horsepower criterion. Additional data are
            given as follows:
            Cuttings specific gravity: 2.65 water = 1
            Particle sphericity: 0.80 ball = 1
            Rate of penetration: 70 ft/hr (21.3 m/hr)
            Rotary speed: 60 rpm
            Cuttings concentration: 8%
        4.3 For the data in Problems 4.1 and 4.2, design the mud flow rates and the
            bit nozzle sizes at depths from 6,500 ft (1,981 m) to 9,950 ft (3,033 m).
        4.4 Using the data given in Problem 4.1 and the maximum bit hydraulic
            power criterion, calculate the required pump pressure and select a
            pump from Table 3.6.
        4.5 Using the data given in Problem 4.1 and the maximum bit hydraulic
            jet impact force criterion, calculate the required pump pressure and
            select a pump from Table 3.6.
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