Apparent intensity reflected by recorder (gamma ray)

Input(s)

$J_{1}$: First Pulse Rate Response (counts/s)

$J_{2}$: Second Pulse Rate Response (counts/s)

$\mathrm{t}$: Time $(\mathrm{s})$

$r_{c}$: Time Constant of Electric Circuit (s)

Output(s)

$J_{a(t)}$: Apparent Intensity Reflected by Recorder (counts/s)

Formula(s)

$$ \mathrm{J}_{\mathrm{a}(\mathrm{t})}=\mathrm{J}_{1}+\left(\mathrm{J}_{2}-\mathrm{J}_{1}\right) *\left(1-\exp \left(-\frac{\mathrm{t}}{\mathrm{r}_{\mathrm{c}}}\right)\right) $$

Reference(s)

Bassiouni, Z., 1994, Theory, Measurement, and Interpretation of Well Logs. SPE Textbook Series Vol. 4. Chapter 7, Page: 148.