# Hydraulic Conductivity

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics Hydraulic conductivity, abbreviated as k, is the ease with which a fluid can move through porous spaces or fractures.  Smaller the particles, means smaller the pores (area available for flow), more friction resistance, has lower hydraulic conductivity.  The larger the particles, means larger the pores, less friction resistance, has higher hydraulic conductivity.

## Hydraulic Conductivity formulas

 FORMULA: SOLVE FOR: $$\large{ k = \frac{ Q }{ i \; A_c } }$$ $$\large{ k = \frac{v}{i} }$$ (Darcy velocity) $$\large{ k = \frac{ K \; \rho_w \; g }{ \mu_w } }$$

### Where:

$$\large{ k }$$ = hydraulic conductivity

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

$$\large{ v }$$ = Darcy velocity or flux

$$\large{ Q }$$ = flow rate

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

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

$$\large{ \rho_w }$$  (Greek symbol rho) = density of pure water

$$\large{ g }$$ = standard gravity

$$\large{ \mu_w }$$  (Greek symbol mu) = dynamic viscosity of water