A cylindrical core sample has an average diameter of $3\mathrm{.}8cm$ and an average length of $7\mathrm{.}6cm.$

Dry mass, $m_d,$ of a core sample is $179\mathrm{.}36$ gr$.$ The sample is $100\%$ saturated with brine, and the

mass of the $100\%$ brine saturated core, $m_b,$ is $198\mathrm{.}32$ gr$.$ The saturated sample is then

oil$-$flooded in order to establish initial water saturation, $S_{wi},$ and initial oil saturation, $S_{oi}.$ After

the course of the oil$-$flooding, mass of the core sample at $(S_{wi}+S_{oi}),m_l,$ becomes $196\mathrm{.}42gr.$

Density of the brine, ${}_b,$ is $1\mathrm{.}05g\frac{r}{c}{m}^3$ and the density of the oil, ${}_o,$ is $0\mathrm{.}91g\frac{r}{c}{m}^3.$

$(5$ points$)8.$ What is the $PV($pore volume$)$ of the core sample?

a$)17\mathrm{.}06c{m}^3$

b$)18\mathrm{.}96c{m}^3$

c$)16\mathrm{.}25c{m}^3$

d$)18\mathrm{.}06c{m}^3$

$(5$ points$)9.$ What is the $S_{wi}($initial water saturation$)$ of the core sample?

a$)0\mathrm{.}752$

b$)0\mathrm{.}248$

c$)4\mathrm{.}48c{m}^3$

d$)13\mathrm{.}58c{m}^3$

$(5$ points$)10.$ What is the $V_{oi}($initial oil volume$)$ of the core sample after oil flooding?

a$)9\mathrm{.}09c{m}^3$

b$)16c{m}^3$

c$)4\mathrm{.}48c{m}^3$

d$)13\mathrm{.}58c{m}^3$