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Reservoir EngineeringMaterial Balance

Underground Fluid Withdrawal - Havlena and Odeh Formula

F=GpBg+WpBwF = G_p B_g + W_p B_w

Underground Fluid Withdrawal - Havlena and Odeh calculates underground fluid withdrawal for material balance workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (G_p, B_g, W_p, B_w) 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, F equals 5,102,000 bbl.

G_pSCF

1000000000

B_gbbl/SCF

0.005

W_pSTB

100000

B_wbbl/STB

1.02

Inputs

G_p

SCF

Cumulative Gas Production

B_g

bbl/SCF

Gas Formation Volume Factor

W_p

STB

Cumulative Water Production

B_w

bbl/STB

Water Formation Volume Factor

Outputs

F

bbl

Underground Fluid Withdrawal

G_p

SCF

Cumulative Gas Production

B_g

bbl/SCF

Gas Formation Volume Factor

W_p

STB

Cumulative Water Production

B_w

bbl/STB

Water Formation Volume Factor

Source and review

reviewed

Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter 3, Page 259.

Source

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