Q$3$:

$(25$ Points$)$

While drilling a $10-3/4"$ hole section at $10,000ft,$ it was therefore decided to pull the bit and run another bit. Determine the nozzle configuration that will optimize either the hydraulic horsepower or the impact force at the bit in the next bit run. The following circulation rate test was performed:

$\backslash$table$[[$Q$,$ SPM$,120,100,80,60],[$DP$,$ psi,$3,600,2,700,2,200,1500]]$

The test was conducted with $12,12,$ and $13$ bit nozzles. Other data are:

Minimum Annular Velocity $=150f\frac{t}{m}in.$

Mud Density $=13$ ppg

Pump Data: Triplex, $1600$ HP$,100$ SPM$,7"$ liners, $14"$ stroke length, $E_v=0\mathrm{.}95,E_m=0\mathrm{.}90$

Drillpipe $5/4\mathrm{.}276$ in$.$