Question: 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/

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, 4y = 300 ft, h = 100 ft, kx = 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 a flowrate of 500 STB/D. Write the flow equations for boundary gridblocks (4,6, 7, 8 and 12). 250 Ft asta = --500 STBID 11 12 dp dx = 0.5 psift No-flow boundary 6 8 6000 STB/D 300 ft 300 ft 250 ft Pos = 3000 psia Figure 3
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