Difference between revisions of "Hall Plot"
(→Math & Physics) |
(→Hall Plot Application with Wellhead Pressure) |
||
| Line 28: | Line 28: | ||
===Hall Plot Application with Wellhead Pressure=== | ===Hall Plot Application with Wellhead Pressure=== | ||
| − | Since <math>P_{wf}</math> and <math>\bar{P}</math> are not | + | Since bottomhole pressure (<math>P_{wf}</math>) and reservoir pressure (<math>\bar{P}</math>) are not readily available, the [[Hall Plot]] can be used with tubing head pressure (<math>THP</math>): |
| + | |||
| + | ===Application with Tubing Head Pressure=== | ||
| + | |||
| + | [your derivation here] | ||
Rearranging: | Rearranging: | ||
Revision as of 16:19, 27 August 2026
Contents
Brief
Hall Plot is the engineering technique to analyze performance of injection wells published in 1963 by Howard Hall [1].
Hall Plot is applied to determine the change in the Injectivity index of the wells.
Hall Plot uses readily available Well flowing data: injection rate and wellhead pressures.
The interpretation technique is fitting the data points with the straight lines to estimate injectivity change.
Math & Physics
From Darcy's law for an unfractured injection well located in the center of a circular drainage area, the injection rate in pseudo-steady state is:
Hall integrated both sides with respect to time [2]:
The Cartesian graph of cumulative injection versus cumulative 
yields a straight line with slope:
and Injectivity index is:
Hall Plot Application with Wellhead Pressure
Since bottomhole pressure (
) and reservoir pressure (
) are not readily available, the Hall Plot can be used with tubing head pressure (
):
Application with Tubing Head Pressure
[your derivation here]
Rearranging:
Given:
Nomenclature
See Also
- ↑ Hall, H.N. (1963). "How To Analyze Waterflood Injection Well Performance". World Oil.
- ↑ Buell, R.S.; Kazemi, H.; Poettmann, F.H. (1990). "Analyzing Injectivity of Polymer Solutions With the Hall Plot". SPE Reservoir Engineering. 5 (1). doi:10.2118/16963-PA.
