# Seepage Velocity

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

Seepage velocity, abbreviated as $$v_s$$, represent the actual velocity of a fluid flowing through the void spaces in the soil.

## Seepage Velocity formulas

 $$\large{ v_s = \frac{ v \; A_c}{ A_v} }$$ $$\large{ v_s = \frac{ v}{ n} }$$

### Where:

 Units English Metric $$\large{ v_s }$$ = seepage velocity $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$\large{ A_c }$$ = area cross-section of flow $$\large{ft^2}$$ $$\large{m^2}$$ $$\large{ A_v }$$ = area cross-section of voids $$\large{ft^2}$$ $$\large{m^2}$$ $$\large{ v }$$ = darcy velocity or flux $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$\large{ n }$$ = porosity $$\large{ dimensionless }$$

### Solve For:

 $$\large{ v = \frac{ v_s \; A_v }{ A_c } }$$ $$\large{ A_c = \frac{ v_s \; A_v }{ v } }$$ $$\large{ A_v = \frac{ v \; A_c }{ v_s } }$$ $$\large{ v = v_s \; n }$$ $$\large{ n = \frac{ v }{ v_s } }$$