waterflood that resulted in an oil production of $6\mathrm{.}8c{m}^3.$ Finally, the DeanStark extraction was performed on the core plug right after the termination of the waterflood. This resulted in the saturations as $S_0=40\%$ and $S_{}=60\%.$ Determine the initial oil and water saturations that existed in the preserved core plug prior to carrying out any of the displacement tests.

$9\mathrm{.}3$ An oil$-$water SS displacement experiment was carried out on a $5\mathrm{.}0cm$ long and $3\mathrm{.}0cm$ diameter sandstone core plug. The porosity of the plug is $25\%$ and the grain density is $2\mathrm{.}65\frac{g}{c}{m}^3.$ Oil and water densities are $0\mathrm{.}85\frac{g}{c}{m}^3$ and $1\mathrm{.}05\frac{g}{c}{m}^3,$ while viscosities are $2\mathrm{.}0cP$ and $1\mathrm{.}0cP,$ respectively. The differential pressure for the test is $12\mathrm{.}94.$ Other data are provided in the following table. Calculate and plot the oil$-$water relative permeability data.

$\backslash$table$[[q_0(c\frac{m^3}{m}in),q_w(c\frac{m^3}{m}in),$Wet Weight of Core Plug $(g)$