$3\mathrm{.}3.$ A constant$-$rate drawdown test was run on the well described in Problem $3\mathrm{.}2.$ Rate was held constant at $600$ STB$/$D$.$ After $96\mathrm{.}9$ hours, the surface rate was changed abruptly to $300$ STB$/$D$.$ Data for the tests before and after the rate change are given in Table $3\mathrm{.}10.$ From the data obtained with q$=600$ STB$/$D$,$ estimate k$,$ s$,$ and area of the reservoir.

From the data obtained in the two$-$rate flow test after q changed to $300$ STB$/$D$,$ confirm the estimates of k and s$,$ and calculate the current value of p$*.$

t $($hours$)$ Pwi at $600$ STB$/$D $($psi$)$ Pwi at $300$ STB$/$D $($psi$)$

$05,0003,833$

$0\mathrm{.}1144,7103,978$

$0\mathrm{.}1364,6654,000$

$0\mathrm{.}1644,6164,025$

$0\mathrm{.}1974,5634,051$

$0\mathrm{.}2364,5074,079$

$0\mathrm{.}2834,4494,108$

$0\mathrm{.}344,3904,138$

$0\mathrm{.}4084,3324,167$

$0\mathrm{.}494,2774,194$

$0\mathrm{.}5874,2274,219$

$0\mathrm{.}7054,1824,242$

$0\mathrm{.}8464,1444,261$

$1\mathrm{.}024,1124,276$

$1\mathrm{.}224,0874,289$

$1\mathrm{.}464,0674,299$

$1\mathrm{.}754,0504,307$

$2\mathrm{.}114,0364,314$

$2\mathrm{.}54,0244,319$

$3\mathrm{.}034,0124,324$

$3\mathrm{.}644,0024,330$

$4\mathrm{.}373,9924,334$

$5\mathrm{.}243,9824,339$

$6\mathrm{.}293,9724,343$

$7\mathrm{.}543,9634,346$

$9\mathrm{.}053,9534,350$

$10\mathrm{.}93,9444,353$

$133,9354,356$

$15\mathrm{.}63,9264,359$

$18\mathrm{.}83,9184,361$

$22\mathrm{.}53,9094,363$

$273,9004,364$

$32\mathrm{.}43,8914,365$

$38\mathrm{.}93,8834,365$

$46\mathrm{.}73,8744,364$

$56\mathrm{.}13,8654,362$

$67\mathrm{.}33,8554,359$

$80\mathrm{.}73,8454,354$

$96\mathrm{.}93,8334,349$