Dry mass, $m_d,$ of a core sample in air is $165\mathrm{.}3620$ gr$.$ First, the sample is $100\%$ saturated with brine. Mass of the $100\%$ brine saturated core, $m_b,$ in air is $182\mathrm{.}9897$ gr$.$ The $100\%$ saturated sample is then immersed in the same brine that is used for the saturation process. Mass of the saturated sample in the brine, $m_{bw},$ is $99\mathrm{.}0gr.$ Density of the saturating fluid, brine, ${}_b,$ is given as $1\mathrm{.}0432g\frac{r}{c}{m}^3.$

Try to answer the followings:

a$)$ Bulk volume of the core sample,

b$)$ Effective $PV($pore volume$)$ of the sample,

c$)$ Effective porosity, ${}_{\text{e}\text{f}\text{f}},$ of the sample.

Dry mass $(m_d)$ of a core sample is $166\mathrm{.}9473$ gr$.$ The sample is first $100\%$ saturated with a brine, and the mass of the $100\%$ brine saturated core $(m_b)$ is $184\mathrm{.}6740gr.$ The saturated sample is then oil$-$flooded in order to establish initial water saturation $(S_{wi})$ and initial oil saturation $(S_{oi}).$ During the course of the oil$-$flooding, $13\mathrm{.}10c{m}^3$ water $($brine$)$ is produced. You are also given the following data for this cylindrical core sample:

$\frac{?}{\text{b}\text{a}\text{r}}(L)=7\mathrm{.}20725cm(average$ length $of$ the core sample$)\frac{}{b}$

$ar(D)=3\mathrm{.}79775cm(averagediameterof$ the core sample$)$

${}_b=1\mathrm{.}0273g\frac{r}{c}{m}^3(densityof$ the saturating fluid$)$

Try to answer the followings:

a$)PV($pore volume$)$ of the core sample,

b$)S_{wi}($initial water saturation$)$ and $S_{oi}($initial oil saturation$)$ of the sample,

c$)($porosity$)$ of the sample.