a$.$ Please complete the following example$-$based problems.

b$.$ Make assumptions explicitly, if needed.

c$.$ Demonstrate your calculation step$-$by$-$step, including

$(1)$ Equation $($and ref. #$),$ with notations on each variable and corresponding unit,

$(2)$ Major intermediate steps, and

$(3)$ Results with correct units.

d$.$ Submit both Word Doc and Excel file.

e$.$ Total points: $100(25$ each$).$

$($Example $1\mathrm{.}24)$ A gas well is producing at a rate of $60,000Msc\frac{f}{D}.$ It is suspected that nonDarcy behavior may be affecting the gas production. Calculate the turbulent factor, $,$ and non$-$Darcy coefficient, $D,$ with the data given below.

$P_{sc}=14\mathrm{.}7$ psia.

$T_{sc}=60F.$

$q_g=60,000Msc\frac{f}{D}.$

$r_w=0\mathrm{.}25ft.$

$=0\mathrm{.}10.$

$P_{wf}=3,570$ psia.

$h=20ft.$

$k=15md.$

${}_g=0\mathrm{.}75.$

${}_{g,wf}=0\mathrm{.}0244cp.$