A mud logger places a sample of calcium carbide in thedrillstring when a connection is made. The calcium carbide reactswith the mud to form acetylene gas. The acetylene gas is detectedby 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/ftdrill 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-inrods, and 14 in strokes and operates in a volumetric efficiency of80%.
a.Estimate the pump cycle required to move the gas from thesurface to the bit.
b.Estimate the number of pump cycles required to move the gasfrom the bit to the shale shaker.
c.If the penetration rate of the bit is 20 ft/hr and the pumpspeed is 60 cycle/min, how many feet are drilled by the bit beforethe formation gas expelled from the rock destroyed by the bittravels from the bit from the surface?
(with steps please)
