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.