For a heterogeneous reservoir of three layers, the properties are as follows: Th

Question

For a heterogeneous reservoir of three layers, the properties are as follows: The permeability of each layer: K1 = 50 mD, K2 = 20 mD, K3 = 300 mD The thickness of each layer: h1=30 ft, h3 = 39 ft, h3 = 99 ft; The flow area of each layer: A1=1000 square ft, A2 = 2000 square ft, A3=3000 square ft The rock porosity is 0.1 and the fluid viscosity is 2 cP, Given that the pressure at the upstream end of the rock,P1 is 4300 psia and at the downstream end, P2 is 1100 psia, length of the reservoir is 100 ft, Determine: Flow rate of each layer q1,q2,q3 in bbl/day Average permeability of the reservoir in mD The total flow rate (Q) in bbl/day using average permeability

Explanation / Answer

q=0.001127KA(p1-p2)/mu L

q1 = 0.001127 x50 x1000 x3200 / 2 x100 = 901.6 bbl/day

q2 = 0.001127 x 20 x2000x3200 /2x100 = 721.28 bbl/day

q3 = 0.001127 x 300 x3000 x3200/2x100 = 16228.8 bbl/day

2-K avg = K1h1 + K2h2+ K3h3 / ht = 50x30 +20x39 + 300x99 / 168 = 1500+ 780 + 29700/168

Kavg = 190.357mD

3-Q =Kavg At (p1-p2)/ mu L = 190.357 x 6000 x 3200 / 200 = 18274272 bbl/day

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