Volume of Void

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