$2.$ A reservoir has the following properties k $=30$ md$,0=0\mathrm{.}20,$ Ho $=0\mathrm{.}40$ cp$,$ B$.=1\mathrm{.}2$ rb$/$stb$,$ h $=42$ ft$,$ Pi$=2880$ psia, Bw $=1\mathrm{.}10$ rb$/$stb$,$ p $=0\mathrm{.}20$ cp$,$ C $($oil system$)=16\mathrm{.}0$E$-06$ psi', G $($water system$)=18\mathrm{.}0$E$-07$ psi!, all wells have Tw $=0\mathrm{.}33$ ft$,$ te$=2500$ ft There are three wells in the field as shown below. A and B are oil producers while C is a water injector. There is a sealing fault in the field between A and B located $250$ ft away from A$.($SA $=$ SB $=$ Sc$=3)$ The production injection performance for the three wells is shown in the table below Well A B $0-72$ hrs $250$ stb$/$day $150$ stb$/$day $200$ stb$/$day $72-96$ hrs $600$ stb$/$day $150$ stb$/$day $200$ stb$/$day $-$ B A $600$ ft $550$ ft I Derive the equation needed to calculate pressure behavior at A$.$ II$.$ Estimate the bottom$-$hole pressure at A after $1$ day of production$/$injection process