$($USS superposition in time application$)$ A Pressure build up test has been conducted in an oil producing well.The reservoir properties are given as follows. $(20$ points$)$

$=0\mathrm{.}039,rw=0\mathrm{.}198ft,ct=1710-6$ psia$-1$

Oil properties:

$Bo=1\mathrm{.}136R\frac{B}{S}TB,O=0\mathrm{.}8cp$

Production parameters:

$)=(0$

The pressure shut in time data is given below:

$\backslash$table$[[t,$Horner Time,$p_{ws}$