# Seepage Velocity

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

- See Darcy's Law

### Seepage Velocity formula

\(\large{ v_s = \frac { v \; A_c} { A_v} }\)

\(\large{ v_s = \frac { v} { P} }\)

Where:

\(\large{ v_s }\) = seepage velocity

\(\large{ A_c }\) = area cross-section of flow

\(\large{ A_v }\) = area cross-section of voids

\(\large{ v }\) = darcy velocity or flux

\(\large{ P }\) = porosity

Solve for:

\(\large{ A_c = \frac { v_s \; A_v} { v} }\)

\(\large{ A_v = \frac { v \; A_c} { v_s} }\)

\(\large{ v = \frac { v_s \; A_v} { A_c} }\)

\(\large{ v = v_s \; P }\)

\(\large{ P = \frac { v} { v_s} }\)