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Relative Permeability (15%) A long reservoir is approximated by a 1-D flow system with a length of 1500ft, Formation thickness h =75ft, width of w=500ft,

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Relative Permeability (15\%) A long reservoir is approximated by a 1-D flow system with a length of 1500ft, Formation thickness h =75ft, width of w=500ft, permeability k=50mD, initial pressure p=2750 psia. The well flowing pressure pwf is kept to 2500 psia, oil viscosity 0=2cp. Initial water saturation is Swi=0.25, and there is no free gas at the initial reservoir pressure. Oil formation volume factor: Bo(p)={0.866p0.05341.3exp[co(p2000)]p0.75 1. Calculate the oil production rate q (STB) assuming steady state flow of oil only (single phase). 2. As oil production continues, the reservoir pressure declines to 1500 psia, below the bubble point pressure 2000 psia, and gas has thus been released from the oil. The flow inside the reservoir becomes two-phase flow, involving both oil and gas. Use the following parameters to calculate the oil production rate: oil saturation So=0.5, well flowing pressure pwf=1250 psia. Use the empirical equations given below to estimate the relative permeability to oil, kro and formation volume factor Bo

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