Petroleum engineering

Define the pump pressure $($surface pressure$)$ required to circulate at drilling rate and Describe the type of fluid flow in the annulus and in the drill pipe for following conditions of well:

The inner diameter of the pipe can be found in the following table:MD$/$TVD: $10000$ ft

Surface casing: $2150$ ft of $16-$in$.75$ lb$/$ft

Intermediate casing: $9890$ ft of $113/4-$in$.54$ lb$/$ft

Bit$=$Open hole: $10-5/8$ in

Nozzles $(32$nds in$.)$: $12,12,12$

Surface connections: Case $4$

Drill pipe: $5$ in$.,16\mathrm{.}6$ lb$/$ft

$4,2760$ in

Drill collars: $250$ ft of $8$ in$.$ x $3$ in$.$

Mud weight: $10$ lb$/$gal

Funnel viscosity: $39$ sec$/$qt

Plastic viscosity: $15$ cP

Yield point: $10$ lb$/100$ ft$2$

Initial gel: $5$ lb$/100$ ft$2$

Flow rate: $500$ gpm