Filtration volume with spurt loss

Input(s)

$V_{s p}$: Spurt Loss Volume (cc)

$V_{f 1}$: Filtration Volume at time "1" (cc)

$V_{f 2}$: Filtration Volume at time "2" (cc)

$t_{1}$: Time value " 1 " (min)

$t_{2}$: Time value "2" (min)

$t$: Filtration time of the measured Filtration Volume " $\mathrm{V}_{\mathrm{f}}$ " (min)

Output(s)

$V_{f:} \quad$ Filtration Volume (cc)

Formula(s)

$$ \mathrm{V}_{\mathrm{f}}=\mathrm{V}_{\mathrm{sp}}+\frac{\mathrm{V}_{\mathrm{f} 2}-\mathrm{V}_{\mathrm{f} 1}}{\sqrt{\mathrm{t}_{2}}-\sqrt{\mathrm{t}_{1}}} \sqrt{\mathrm{t}} $$

Reference(s)

Altun, G., Drilling Fluids Lab, Course Notes, ITU Petroleum and Natural Gas Engineering, Istanbul, Turkey, 2013-2014. Experiment 2, Page: 6.