Suspension property of static fluids (completion and workover fluids)

Input(s)

$d$: Particle Diameter $(\mu \mathrm{m})$

$\rho_{p}$: Density of Solid Particle $\left(\mathrm{g} / \mathrm{cm}^{3}\right)$

$\rho_{f}$: Density of Fluid $\left(\mathrm{g} / \mathrm{cm}^{3}\right)$

g: Acceleration Owing to Gravity $\left(\mathrm{ft} / \mathrm{s}^{2}\right)$

$\mu$ : Fluid Viscosity $(\mathrm{cP})$

Output(s)

v: Particle Settling Velocity (in/s)

Formula(s)

$$ v=\frac{d^{2}\left(\rho_{p}-\rho_{f}\right) g}{(\mu)\left(4.5 \cdot 10^{6}\right)} $$

Reference(s)

Bridges, K. L. (2000). Completion and Workover Fluids (Vol. 19). Society of Petroleum Engineers, Page: 49.