You have planned to drill a well based on the well data below:

Rheology Model: Bingham Plastic

$12\frac{1}{4}"$ hole to $10,000ft.$

Flow rate $=900gpm$

Jet velocity to be maintained: $300f\frac{t}{sec}.$

Drill Collar: $1,000ft$ of $8xx3"$ drill collar $($weight$,147l\frac{b}{f}t).$ Drill pipe $5xx4\mathrm{.}276$

$(19\mathrm{.}5$ lb$/$ft$),$ S$135$ premium pipe

$PV=20cP$

$YP=15l\frac{b}{100}f{t}^2$

$MW=10ppg$

Surface Line: Class $4$

a$)$ Conduct a Surface Line Analysis for this drilling scenario and calculate the pressure loss for each

segment using Method $1.($see "Treatment of Surface Line Guidelines" in the next page$)$

b$)$ If the equivalent length of drill pipe for the Surface Line is $579ft,$ what is the corresponding pressure

loss in the Surface Line $($Method $2)?$

c$)$ Compute the pressure drop in the annulus.