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Reservoir EngineeringPVT and Rock-Fluid Properties

Cumulative Effective Compressibility – Fetkovich Formula

ce=Swicw+M(cf+cw)+cf1Swic_e = \frac{S_{wi} \cdot c_w + M \cdot (c_f + c_w) + c_f}{1 - S_{wi}}

Cumulative Effective Compressibility – Fetkovich calculates cumulative effective compressibility for pvt and rock-fluid properties workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (S_wi, c_w, M, c_f) are known and the assumptions behind the cited pvt and rock-fluid properties 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, c_e equals 0.000009 1/psi.

S_wifraction

0.25

c_w1/psi

3e-6

Mdimensionless

0.1

c_f1/psi

5e-6

Inputs

S_wi

fraction

Initial Water Saturation

c_w

1/psi

Cumulative Total Water Compressibility

M

dimensionless

Dimensionless Volume Ratio

c_f

1/psi

Total PV (Formation) Compressibility

Outputs

c_e

1/psi

Cumulative Effective Compressibility

S_wi

fraction

Initial Water Saturation (rearranged)

c_w

1/psi

Water Compressibility (rearranged)

M

dimensionless

Dimensionless Volume Ratio (rearranged)

c_f

1/psi

Formation Compressibility (rearranged)

Source and review

reviewed

Ahmed, T., McKinney, P.D. (2005). Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter 3, Pages 215–216.

Source

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