# Discharge Velocity

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:

Units |
English |
Metric |

\(\large{ q }\) = discharge velocity | \(\large{\frac{ft}{sec}}\) | \(\large{\frac{m}{s}}\) |

\(\large{ A_c }\) = area cross-section | \(\large{ft^2}\) | \(\large{m^2}\) |

\(\large{ i } \) = hydraulic gradient | \(\large{dimensionless}\) | |

\(\large{ k } \) = permeability coefficient | \(\large{\frac{ft}{sec}}\) | \(\large{\frac{m}{s}}\) |

\(\large{ V_t } \) = total volume of soil | \(\large{ft^3}\) | \(\large{m^3}\) |

Tags: Velocity Equations Water Equations Soil Equations Geotechnical Equations