$1.$ A newly discovered volumetric undersaturated oil reservoir has an initial pressure of $3800$ psia. Initial estimate for the oil in place is $20010^6$ STB$.$ The abandonment pressure for the oil field is around $1200$ psia. Labaratory analysis of the crude oil shows a bubble point pressure of less than $1100$ psia. Average isothermal compressibility of the oil is $1510^-61/$psi$.$ Estimate

$($a$)$ how much oil will be produced by depletion drive and,

$($b$)$ what will be the recovery factor for this field considering the only mechanism is the oil expansion $($the field will be produced down to the abandonment pressure$).$

$2.$ If there is an overlying gas cap with a volume of $2010^6$ STB $($Cg$=40010^-61/$psi$)$ repeat the above calculations. Assume that no gas cap gas is produced.

$3.$ If there is an aquifer with a volume of $80010^6$ STB instead of a gas cap $($Cw$=810^-61/$psi$)$ what would be the production and the recovery factor. Assume that no water is produced along with the oil.

$($In all cases you should omit the rock expansion!$)($Recovery factor is the produced oil as a percentage of the initial oil in place$)$