Question 3 (10 Marks) A single-phase fluid flows in the 2-D horizontal reservoir presented in Figure 3. A well located in gridblock 7 produces at a rate of 4000STB/ D. All gridblocks have 4x = 250 ft. Ay = 300 ft, h = 100 ft, ky = 270 md. and ky = 220 md. The FVF and viscosity of the flowing fluid are 1.0 RB/STB and 2cP, respectively. The reservoir south boundary is maintained at 3000 psia, the reservoir west boundary is no-flow, the reservoir east boundary is kept at a constant pressure gradient of 0.1 psi/ft, and the reservoir loses fluid across its north boundary at afle a flowrate of 500 STB/D. Write the flow equations for boundary gridblocks (4,6,7,8 and 12). 250 *-500 STBD 9 . 10 : 12 -0.5 point . No flow boundary N 5 6 8 8 6000 STBUD . . y 3001 4 . 300 R 250 P-3000 psia Figure 3 Question 3 (10 Marks) A single-phase fluid flows in the 2-D horizontal reservoir presented in Figure 3. A well located in gridblock 7 produces at a rate of 4000STB/ D. All gridblocks have 4x = 250 ft. Ay = 300 ft, h = 100 ft, ky = 270 md. and ky = 220 md. The FVF and viscosity of the flowing fluid are 1.0 RB/STB and 2cP, respectively. The reservoir south boundary is maintained at 3000 psia, the reservoir west boundary is no-flow, the reservoir east boundary is kept at a constant pressure gradient of 0.1 psi/ft, and the reservoir loses fluid across its north boundary at afle a flowrate of 500 STB/D. Write the flow equations for boundary gridblocks (4,6,7,8 and 12). 250 *-500 STBD 9 . 10 : 12 -0.5 point . No flow boundary N 5 6 8 8 6000 STBUD . . y 3001 4 . 300 R 250 P-3000 psia Figure 3