A steady$-$state flow test was conducted on some core sample to establish its two phase $($i$.$e$.$ oil and water$)$ relative permeability curves. The maximum effective permeability of oil $($@ $S_{wi})$ was used as the base to generate the relative permeability curves. A summary of the calculated relative permeability data was obtained as given on the next page.

a$.$ What is the system's wettability? Support your conclusion by all indicators.

b$.$ Establish relative permeability$-$saturation relationships for oil and water through estimating Corey's exponents.

c$.$ Another core sample from the same reservoir was tested in the laboratory and showed the following critical fluid saturations:

a$.S_{wi}=0\mathrm{.}3$

b$.S_{or}=0\mathrm{.}1$

c$.$ What are the oil and water relative permeabilities of this sample at $S_w=0\mathrm{.}6?$