(30 points) A reservoir is producing below the bubble point under steady state flow conditions. The initial reservoir pressure (Pi) is 4000 psia, and the current reservoir pressure (P) is 2400 psia. The reservoir temperature (T) is 80C. The produced gas-oil ratio (GOR) is 950scf/STB. The solution gasoil ratio (Rs) is 600scf/STB. Porosity is 20%. The oil production rate (Q0) is 45,000STB/ day. The water production rate (Qw) is 9,000STB/ day. The formation volume factor of oil (B0) is 1.2bbl/STB. The formation volume factor of water (Bw) is 1.01. The gas compressibility factor (z) is 0.85. a. (20 points) Calculate the Schilthuis' water influx constant. b. (10 points) Assume that the pressure is decreasing linearly with time, P=Pi10t, where t is in hours. Estimate the cumulative water influx in reservoir bbls if the pressure drops to 2000 psia