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Reservoir EngineeringMaterial Balance

van Everdingen-Hurst Single-Step Water Influx Formula

We=BΔpWeDW_e=B\Delta p W_{eD}

van Everdingen-Hurst Single-Step Water Influx calculates cumulative water influx for pressure step for material balance workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (B_aq, Delta_p, W_eD) are known and the assumptions behind the cited material balance 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, W_e equals 12,597 bbl.

B_aqbbl/psi

20.4

Delta_ppsi

5

W_eDdimensionless

123.5

Inputs

B_aq

bbl/psi

Aquifer Influx Constant

Delta_p

psi

Pressure Drop Increment

W_eD

dimensionless

Dimensionless Cumulative Water Influx

Outputs

W_e

bbl

Cumulative Water Influx for Pressure Step

B_aq

bbl/psi

Aquifer Influx Constant

Delta_p

psi

Pressure Drop Increment

W_eD

dimensionless

Dimensionless Cumulative Water Influx

Source and review

reviewed

Petroleum Office. Aquifer Models, van Everdingen-Hurst cumulative influx; Ahmed water-influx worked example.

Source

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