Question #1 (criteria A, E) 1. Derive the MBE for a tank with rigid and incompressible walls (i.e. tank volume remains constant regardless of the fluid pressure inside) for the cases of different conditions shown below. a. The tank is initially full of oil with some slightly compressible solids occupying 78 % of tank volume at pi. Some oil is bleeded to reduce the pressure to pi. The removed oil from the tank is collected as N, STB of oil and the related Gp SCF of gas at surface conditions. P>Pb P>P,>P oil oil Np, Gp b. The tank is initially full of oil and gas at pi and there is no solids in. While some oil is bleeded from the bottom valve, simultaneaouly some gas is removed from top valve reducing the pressure in the tank to pi. The removed oil from the tank is collected as N, STB of oil and Gpl SCF of gas at surface conditions. The removed gas is collected as Gp2 SCF at surface conditions. We also know that pw>p:>pi. In your derivation use the symbol R, as cumulative produced gas oil ratio. P;

P>P Gp2 gas gas oil oil Ne Gpl Question #2 Put the MBE equations you have derived in question one into straight line forms. Describe for each one which variables you would use in your plots to obtain a straight line and also describe what information/parameters you can determine from these graphs. Question #3 Drive from the beginning using volume/material balance relations the MBE for a gas reservoir including water influx. (Hint you can use your derivations in question 2 to reduce the operations) Question #4 Drive from the beginning using volume/material balance realations the MBE equations for an understaurated reservoir including water influx, and water and gas injections. (Hint you can use your derivations in question 3 to reduce the operations)