PE 7023 Advanced Production Design
Homework Assignment #1
Single-phase Liquid Inflow Performance Relationship (IPR) is given with the following equation:
where, ππΜ ππ is the average reservoir pressure, πππ€π€π€π€ is the bottom-hole flowing pressure, πππ π π π is the liquid flow rate at standard conditions, and π½π½ is the productivity index.
Single-phase Liquid Outflow Performance Relationship (OPR) is given below for vertical upward flow assuming an incompressible liquid and constant friction factor, ππ.
where, πππ π π π π π is the separator pressure, πππ€π€π€π€ is the bottom-hole flowing pressure, πππ π π π is the liquid flow rate at standard conditions, ππ is the acceleration gravity of Earth, πππ π is the unit conversion factor, πΏπΏ is the depth of the well, πππΏπΏ is the density of the liquid and ππ is the diameter of the tubing. Grouping the constant parameters, Eq. 2 can be written as
Question:
ππ_{π π π π π π } |
100 |
psig |
ππ_{ππ} |
5000 |
psig |
π½π½ |
5 |
bbl/D/psi |
π΄π΄π΄π΄π΄π΄ |
25 |
o |
πΏπΏ |
8000 |
ft |
ππππππππππππ |
0.02 |
- |
ππππππππππππ π΄π΄πΌπΌ |
2.5 |
in |
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