Q 2, use matlab

1. Volumetric Calculation (20\%) An oil reservoir is approximated by a rectangular prism, and the dimensions of the reservoir are given in the schematic shown below. The reservoir contains oil and water only. The water and oil saturations change vertically and they are defined by the given equations. Other parameters measured: porosity =0.20 constant, oil formation volume factor Bo=1.25RB/STB, water formation volume factor Bw=1.00RB/STB. Both formation volume factors may be applied to the entire reservoir. a) Calculate the reservoir bulk volume and pore volume (ft3) b) Calculate the oil and water in place (reservoir ft3,RB and STB) c) Calculate the average water and oil saturations d) Pot z vs Sw for 0z500,0.25Sw0.75 2. Fluid Compressibility (15\%) Sw(z)=1So(z) The compressibility of crude oil above bubble point pressure is c0=105psi1, constant. The compressibility of ideal gas cg=1/p, psi-1 where p is the system pressure. Use the definition of compressibility coefficient to derive the following volume-pressure relationship: a) Volume of oil as a function of pressure, Vo(p) b) Volume of gas as a function of pressure, Vg(p) c) Plot Vo(p) vs p, and Vg(p) vs p in separate graphs. Assume the volumes of oil and gas are both 1 ft3 at reference pressure p=14.7 psia. Visually compare the curvatures of the two curves