Answer: To determine if the tubing sizing was done properly, we need to compare the operating rates for each tubing diameter in the given range. We can use the following formula to calculate the well's production rate:
Explanation:
Production rate = (Productivity index) x (Wellhead pressure - Tubing pressure)
Assuming a tubing pressure of 0 psig (i.e., no pressure drop through the tubing), the production rate for each tubing diameter can be calculated as follows:
For 1 inch tubing:
Production rate = (1 bpd/psi) x (150 psig - 0 psig) = 150 bpd
For 1.5 inch tubing:
Production rate = (1 bpd/psi) x (150 psig - 0 psig) = 150 bpd
For 2 inch tubing:
Production rate = (1 bpd/psi) x (150 psig - 0 psig) = 150 bpd
For 2.5 inch tubing:
Production rate = (1 bpd/psi) x (150 psig - 0 psig) = 150 bpd
For 3 inch tubing:
Production rate = (1 bpd/psi) x (150 psig - 0 psig) = 150 bpd
For 3.5 inch tubing:
Production rate = (1 bpd/psi) x (150 psig - 0 psig) = 150 bpd
As we can see, the production rates are the same for all tubing diameters in the given range. This means that the tubing sizing was not done properly, as increasing the tubing diameter should have increased the production rate.
However, it's important to note that this analysis assumes no pressure drop through the tubing, which may not be realistic. If there is significant pressure drop through the tubing, selecting a larger diameter tubing may actually decrease the production rate due to increased frictional losses. Therefore, a more detailed analysis is required to properly size the tubing for a specific well.
SPJ11