We are drilling at $10000ft$ in a formation with $20\%$ porosity, $30\%$ water saturation and $70\%$ gas saturation. The temperature is $640R,$ and the mud density is $11$ ppg$.$ The gas gravity is $\mathrm{.}72.$ The drilling rate is $100f\frac{t}{h}r$ with a $12\%$ inch blt$.$ The circulation rate is $300gpm.$ Formation water is $9\mathrm{.}04ppg,$ and formation rock density is $26ppg.$

a$.$ What is the mud density at the surface? PPg

b$.$ What is the average density of the annular mud?

c$.$ At what rate $($SCFD$)$ will gas be liberated at the surface?

Say we have a well with $8000ft$ of $4\mathrm{.}265$ drillpipe and $500ft$ of $83$ collars. The viscosity is $15cp$ with $10ppg$ mud. The hole is $10$ inches in diameter. The vg meter reads $15cp$ at $300rpm$ and $20$ at $600rpm.$ The bit has $3$ nozzles at $12/32\text{'}$s $($make sure you can do this by hand $..$ you can check it with the spreadsheet$)$

a$.$ At static conditions what is the pressure at the bottom of the well?

b$.$ What is the pressure at the bottom of the weil while circulating? $($Bingham plastic model$)$

c$.$ What is the hp at the bit

d$.$ What is the pump pressure?

In a V$-$G meter, we get readings of $21$ at $300rpm$ and $33$ at $600rpm.$

a$.$ Calculate the plastic viscosity and yield strength using the Bingham plastic model.

b$.$ Calculate the consistency and flow$-$behavior indices using the power law mo

c$.$ Derive and expression which gives you $K$ and $n$ from ${}_p$ and $T_y.$

Suppose we lower $4000ft$ of closed end $13$ inch casing into a $15$ inch hole contain $ppg,15cp$ mud at $1f\frac{t}{sec}.$

a$.$ What will the pressure be at the bottom of the well?

b$.$ How much mud is displaced?