# Volume of Void

Written by Jerry Ratzlaff on . Posted in Geotechnical Engineering

Volume of void, abbreviated as V_v, is the ratio of total volume of soil minus volume of solid soil.

## Volume of Void formulas

 $$\large{ V_v = V_t - V_s }$$ $$\large{ V_v = V_w + V_a }$$ $$\large{ V_v = \frac{ e \; V_t }{ 1 \;+\; e } }$$

### Where:

 Units English Metric $$\large{ V_v }$$ = volume of void $$\large{ft^3}$$ $$\large{m^3}$$ $$\large{ V_t }$$ = total volume of soil $$\large{ft^3}$$ $$\large{m^3}$$ $$\large{ e }$$ = void ratio $$\large{dimensionless}$$ $$\large{ V_a }$$ = volume of air $$\large{ft^3}$$ $$\large{m^3}$$ $$\large{ V_s }$$ = volume of solid soil $$\large{ft^3}$$ $$\large{m^3}$$ $$\large{ V_w }$$ = volume of water $$\large{ft^3}$$ $$\large{m^3}$$

## Related Volume of Void formulas

 $$\large{ V_v = n \; V_t }$$ (porosity) $$\large{ V_v = e \; V_s }$$ (void ratio)

### Where:

$$\large{ V_v }$$ = volume of void

$$\large{ n }$$ = porosity

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

$$\large{ e }$$ = void ratio

$$\large{ V_s }$$ = volume of solid soil