# Discharge Velocity

Written by Jerry Ratzlaff on . Posted in Geotechnical Engineering

Discharge velocity, abbreviated as q, is the rate of water through a porous medium per unit of total area perpendicular to the direction of flow.

## Discharge Velocity formulas

 $$\large{ q = V_t \; A_c }$$ $$\large{ q = k \; i \; A_c }$$

### Where:

$$\large{ q }$$ = discharge velocity

$$\large{ A_c }$$ = area cross-section

$$\large{ i }$$ = hydraulic gradient

$$\large{ k }$$ = permeability coefficient

$$\large{ V_t }$$ = total volume of soil