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Wyllie Time-Average Sonic Porosity - Uncompacted Formations Formula

Φs=(ΔtΔtma)/(ΔtfΔtma)Bcp\Phi_s=\frac{(\Delta t-\Delta t_{ma})/(\Delta t_f-\Delta t_{ma})}{B_{cp}}

Wyllie Time-Average Sonic Porosity - Uncompacted Formations calculates compaction-corrected sonic porosity for rock properties workflows in petrophysics.

Calculate

How engineers use this formula

Use this formula when the listed inputs (Delta_t, Delta_t_f, Delta_t_ma, Delta_t_sh) are known and the assumptions behind the cited rock 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, Phi_s equals 0.246567 fraction.

Delta_tus/ft

95

Delta_t_fus/ft

189

Delta_t_maus/ft

55.5

Delta_t_shus/ft

120

Inputs

Delta_t

us/ft

Observed Formation Transit Time

Delta_t_f

us/ft

Fluid Transit Time

Delta_t_ma

us/ft

Matrix Transit Time

Delta_t_sh

us/ft

Adjacent Shale Transit Time

Outputs

Phi_s

fraction

Compaction-Corrected Sonic Porosity

B_cp

intermediatedimensionless

Compaction Correction Factor

Delta_t

us/ft

Observed Formation Transit Time

Delta_t_sh

us/ft

Adjacent Shale Transit Time

Source and review

reviewed

Bassiouni, Z. 1994. Theory, Measurement, and Interpretation of Well Logs, SPE Textbook Series Vol. 4, Chapter 3, Page 54.

Source

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