The position of a particle along a straight-line path is defined by
s=(
t
3
−6
t
2
−15t+7)
ft
, where
t
is in seconds.

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We are drilling a hole at a depth of 4,000 ft with an 8 ½ in bit and a mud weight of 15 ppg, where the formation is abnormally pressurised. Formation pressure is 2400 psi, therefore a casing should be run at 4,500 ft to seal off this formation. There are Grade C-75 and N-80 casings available, C-75 Grade is 20.00 lb/ft (ID=6.456”, OD=7”) and N-80 is 17.00 lb/ft (ID= 6.538”, OD=7”). Analyse if both, neither or one of the casing Grades can withstand the formation pressure and will not collapse at the reported conditions. Use the API formulas and tables

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The position of a particle along a straight-line path is defined by s=(t3−6t2−15t+7)ft, where tis in seconds.

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The position of a particle along a straight-line path is defined by
s=(
t
3
−6
t
2
−15t+7)
ft
, where
t
is in seconds.