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Hall Plot Slope from Two Surveillance Points Formula

mH=H2H1Wi2Wi1m_H=\frac{H_2-H_1}{W_{i2}-W_{i1}}

Hall Plot Slope from Two Surveillance Points calculates hall plot slope for injection wells workflows in production engineering.

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How engineers use this formula

Use this formula when the listed inputs (H_1, H_2, W_i1, W_i2) are known and the assumptions behind the cited injection wells relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, m_H equals 0.333333 psi-day/bbl.

H_1psi-day

90000

H_2psi-day

105000

W_i1bbl

100000

W_i2bbl

145000

Inputs

H_1

psi-day

First Cumulative Hall Integral

H_2

psi-day

Second Cumulative Hall Integral

W_i1

bbl

First Cumulative Water Injected

W_i2

bbl

Second Cumulative Water Injected

Outputs

m_H

psi-day/bbl

Hall Plot Slope

H_2

psi-day

Second Cumulative Hall Integral

H_1

psi-day

First Cumulative Hall Integral

W_i2

bbl

Second Cumulative Water Injected

W_i1

bbl

First Cumulative Water Injected

Source and review

reviewed

Harmony Enterprise Hall plot theory, Hall plot slope as an indicator of average well injectivity.

Source

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