Question

A mud logger places a sample of calcium carbide in the drillstring when a connection is made. The calcium carbide reacts with the mud to form acetylene gas. The acetylene gas is detected by a gas detector at the shale shaker after pumping 4, 500 strokes. The drill string is composed of 9, 500 ft of 5-in, 19.5-lbm/ft drill pipe and 500 ft of drill collars having an ID of 2.875 in. The pump is a double acting duplex pump with 6 in liners, 2-in rods, and 14 in strokes and operates in a volumetric efficiency of 80%.

a.Estimate the pump cycle required to move the gas from the surface to the bit.

b.Estimate the number of pump cycles required to move the gas from the bit to the shale shaker.

c.If the penetration rate of the bit is 20 ft/hr and the pump speed is 60 cycle/min, how many feet are drilled by the bit before the formation gas expelled from the rock destroyed by the bit travels from the bit from the surface?

(with steps please)

Answer 1

question b

Q. The number of pump cycles required to move the gas from bit to shaleshaker

ANSWER :Given,

Total Strokes = 4500

Therefore Bottom-up strokes = 4500-1321=3179 stroke-ANSWER

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question A:
 Estimate the number of pump cycles required to  move the gas from the surface to the bit. Answer:  I, 400 cycles

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question c
If the penetration rate of the bit is 20 ft/hr and  the pump speed is 60 cycles/min., how many feet are  drilled by the bit before formation gas expelled from  the rock destroyed by the bit travels from the bit to  the surface? 

ROP= 20ft/hr

SPM= 60 strokes/mi

plugging the equation gives 17.2ft.

Answer: 17.2ft.