Hall Plot

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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.

Hall Plot.png

Hall Plot in the E&P Portal

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:

 {q_{inj}} = \frac{kh}{141.2 B \mu} \times J_D \times (P_{wf} - \bar{P})

Hall integrated both sides with respect to time [2]:

 \sum q_{inj} \Delta t = \frac{kh}{141.2 B \mu} \times J_D \times \sum (P_{wf} - \bar{P}) \Delta t

Nomenclature

See Also

Injectivity index

  1. Hall, H.N. (1963). "How To Analyze Waterflood Injection Well Performance". World Oil. 
  2. 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.