Q$1$:

$(25$ Points$)$

A planned wellbore consists of a $5,000-$ft vertical section, a build up section to horizontal, and a $5,000-$ ft horizontal section. The build up rate is $5$ degrees per $100.$ A $5-$in OD$,25\mathrm{.}5l\frac{b}{f}t($in air$)$ steel drill pipe is being used. An $8\mathrm{.}5-$inch hole is being drilled with $12l\frac{b}{g}al$ mud, and the coefficient of friction is $0\mathrm{.}3.$ Assume that the pipe is $($approximately$)$ on the bottom of the hole when rotating and there is no weight on the bit.

Calculate:

Torque at surface when rotating off bottom

Axial load at surface when rotating off bottom

Axial load at surface when pulling out of the hole

Axial load at surface when going into the hole

Plot axial tension vs$.$ measured depth on one graph

Available and net WOB

Available Torque at bit