Problem # $3$

A drainage oil$-$water capillary pressure is measured on a core sample. Thecapillary pressure adjusted to reservoir conditions is reported below.

$\backslash$table$[[S_w,\%,100,100,90\mathrm{.}1,82\mathrm{.}4,43\mathrm{.}7,32\mathrm{.}2,29\mathrm{.}8],[P_{\text{c}\text{o}\text{w}},,0\mathrm{.}0,4\mathrm{.}4,5\mathrm{.}3,5\mathrm{.}6,10\mathrm{.}5,15\mathrm{.}7,35\mathrm{.}0]]$

Given that the core sample was tak$$n from a point $100ft$ above the WOC, what is the expected water saturation at that elevation? If the hydrocarbon bearing thickness from the crest of the structure to the WOC is $375ft,$ what is the average water saturation over the interval? The density of oil and water at reservoir conditions are $45lb\frac{m}{f}{t}^3$ and $64lb\frac{m}{f}{t}^3,$ respectively.