Time-average relation in uncompacted formations (porosity/transit time relationships)

Input(s)

$\delta \mathrm{t}$: Total Travel Time $(\mu \mathrm{s} / \mathrm{ft})$

$\delta \mathrm{t}_{\mathrm{f}}$: Travel Time in Liquid/Fluid $(\mu \mathrm{s} / \mathrm{ft}$ )

$\delta \mathrm{t}_{\mathrm{ma}}$: Travel Time in Matrix $(\mu \mathrm{s} / \mathrm{ft}$ )

$\delta \mathrm{t}_{\mathrm{sh}}$: Transit Time in Adjacent Shales $(\mu \mathrm{s} / \mathrm{ft})$

Output(s)

$\mathrm{B}_{\mathrm{cp}}$: Compaction Correction Factor $(\mu \mathrm{s} / \mathrm{ft})$

Ø: Porosity (fraction)

Formula(s)

$$ \begin{gathered} B_{c p}=\frac{\delta t_{s h}}{100} \\ \emptyset=\frac{\frac{\delta t-\delta t_{m a}}{\delta t_{f}-\delta t_{m a}}}{B_{c p}} \end{gathered} $$

Reference(s)

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