# Darcy Velocity

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics Darcy velocity, abbreviated as v, also called Darcy flux, is the volumetric flow per unit area of a porous mediun.

## Darcy Velocity or Flux formula

 $$\large{ v = k \; i }$$

### Where:

 Units English Metric $$\large{ v }$$ = Darcy velocity or flux $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$\large{ k }$$ = hydraulic conductivity $$\large{\frac{ft}{day}}$$ $$\large{\frac{m}{day}}$$ $$\large{ i }$$ = hydraulic gradient $$\large{dimensionless}$$

### Solve For:

 $$\large{ k = \frac{ v }{ i } }$$ $$\large{ i = \frac{ v }{ k } }$$

## Related Darcy Velocity or Flux formulas

 $$\large{ v = \frac { v_s \; A_v} { A_c} }$$ (Seepage velocity) $$\large{ v = v_s \; P }$$ (Seepage velocity)

### Where:

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