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A well produces at a rate of 500STB/ day at a flowing bottom hole pressure (P) of 2550psia. Reservoir pressure (Pᵣ) is 3000psia. Bubble point pressure (Pᵦ) is 2750psi.

a) Use the Vogel IPR equation to obtain the absolute open flow (AOF) for the well.
b) If the flow exponent (n)=0.75, calculate the AOF for the well using the Fetkovich IPR equation.
c) Compare the values of AOF obtained from parts (a) and (b) with that calculated from a straight-line IPR.

1 Answer

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a) To calculate the Absolute Open Flow (AOF) using the Vogel IPR equation, we can use the formula:

AOF = q / ((Pᵣ - Pᵦ) / (P - Pᵦ))^n

Where:
q = Flow rate = 500 STB/day
P = Flowing bottom hole pressure = 2550 psia
Pᵣ = Reservoir pressure = 3000 psia
Pᵦ = Bubble point pressure = 2750 psi
n = Flow exponent (provided in part b) = 0.75

Plugging in the values, we get:

AOF = 500 / ((3000 - 2750) / (2550 - 2750))^0.75

b) To calculate the AOF using the Fetkovich IPR equation, the formula is:

AOF = q / (P - Pᵦ)^n

Using the provided values, we get:

AOF = 500 / (2550 - 2750)^0.75

c) To compare the values of AOF obtained from parts (a) and (b) with the straight-line IPR, we would need more information about the reservoir characteristics and the specific equation used for the straight-line IPR. Without that additional information, we cannot directly compare the values obtained from different IPR equations.
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