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.