Filtration rate for API fluid loss measurement

Input(s)

$h_{m c}$: Filter Cake Thickness $(\mathrm{cm})$

$A$: Filter Cake Area $\left(\mathrm{cm}^{2}\right)$

$\Delta P$: Pressure Difference (Atm)

$k$: Permeability of the Filter Cake (D)

$\mu$: Viscosity of the Filtration Fluid (cP)

Output(s)

$\frac{d V_{f}}{d t}$: Filtration Rate $(\mathrm{cc} / \mathrm{s})$

Formula(s)

$$ \frac{\mathrm{dV}_{\mathrm{f}}}{\mathrm{dt}}=\frac{\mathrm{k} \cdot \mathrm{A} \cdot \Delta P}{\mu \cdot \mathrm{h}_{\mathrm{mc}}} $$

Reference(s)

Altun, G., Drilling Fluids Lab, Course Notes, ITU Petroleum and Natural Gas Engineering, Istanbul, Turkey, 2013-2014. Experiment 2, Page: 4.