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Hall Injectivity Change Ratio from Slopes Formula

RC=CnewCbase=mbasemnewR_C=\frac{C_{new}}{C_{base}}=\frac{m_{base}}{m_{new}}

Hall Injectivity Change Ratio from Slopes calculates hall injectivity coefficient ratio for injection wells workflows in production engineering.

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How engineers use this formula

Use this formula when the listed inputs (m_base, m_new) 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, R_C equals 0.666667 fraction.

m_basepsi-day/bbl

0.3333333333333333

m_newpsi-day/bbl

0.5

Inputs

m_base

psi-day/bbl

Baseline Hall Plot Slope

m_new

psi-day/bbl

New Hall Plot Slope

Outputs

R_C

fraction

Hall Injectivity Coefficient Ratio

m_base

psi-day/bbl

Baseline Hall Plot Slope

m_new

psi-day/bbl

New Hall Plot Slope

Source and review

reviewed

Harmony Enterprise Hall plot theory, slope as 1/C and slope changes as indicators of changed injection conditions.

Source

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