The following data were obtained for a constant$-$rate drawdown test $($DD$)$ from a gas well using adjusted pressure and actual time for semilog analysis and log$-$log$.$ Calculate the parameters below by using the semi$-$log method. $(25$ points$)$

Reservoir and Fluid Properties for Gas well

Drawdown Analysis

q$,$ MMscf$/$d

$2\mathrm{.}5$

Tf$,$ deg F

$225$

Pi$,$ psi

$7,500$

Pai, Psi

$6,170\mathrm{.}5$

Gas S$.$G

$0\mathrm{.}725($air$=1)$

Bgi, bbl$/$Mscf

$0\mathrm{.}555$

Phi

$0\mathrm{.}090$

$\backslash$mu gi$,$ cp

$0\mathrm{.}0355$

h$,$ ft

$120$

Cgi, $1/$psi

$63\mathrm{.}4\backslash$times $10-6$

Sw$,\%$

$35\%$

Cw$,1/$psi

$2\mathrm{.}4\backslash$times $10-6$

Cf$,1/$psi

$3\mathrm{.}5\backslash$times $10-6$

Cti, $1/$psi

$43\backslash$times $10-6$

rw$,$ ft

$0\mathrm{.}25$

a$)$ Do you see the effects WBS$?$ If so$,$ calculate the WBS coefficient.

$6$

b$)$ Estimate the start and end $($if exists$)$ of the infinite$-$acting radial flow $($IARF$).$ Show on the graph.

c$)$ Calculate the reservoir permeability.

d$)$ Total skin factor?

e$)$ Do you see the effect of boundary on the plot? Why?