A gas reservoir is $4300$ acres in area, $120ft$ thick, at $149F$ temperature, with a water saturation of $25\%,$ and contains gas of $0\mathrm{.}82$ gravity. The pressure at the reservoir's perimeter is $2850a.$ A well, $6"$ in diameter, is completed in the middle of the reservoir and is kept at a pressure of $1200$ psia.

What is the production rate from this reservoir in SCF$/$day$?$

The steady$-$state production rate $($in SCF$/$day$)$ of a well from a gas reservoir is given by:

where $k_g$ is the effective permeability to gas $($darcies$)$ and $z^{-}$and ${?}_{}^{-}$are the average reservoir gas

$z-$factor and viscosity, respectively. These properties are to be estimated at the average pressure in the reservoir. The gas effective permeability curve is shown below.