# Weight of Water

on . Posted in Geotechnical Engineering

Weight of water in soil, also called soil moisture content or soil water content, refers to the amount of water present in a given volume or mass of soil.  It is typically expressed as a percentage or a fraction of the soil's total weight or volume.

Soil moisture content is an important parameter in agriculture, environmental science, and geotechnical engineering, as it can affect plant growth, soil stability, and various other soil properties.

### Weight of Water Formula

$$w = S \; e \; V_t \; \gamma_w \;/\; 1 + e$$     (Weight of Water)

$$S = w \; \left(1 \;+ e\right) \;/\; e \; V_t \; \gamma_w$$

$$e = - w \;/\; w - S \; V_t \; \gamma_w$$

$$V_t = ( - w \;/\; e \; \gamma_w ) + ( w \;/\; S )$$

$$\gamma_w = - w \;/\; e \; \left(S \; V_t - 1 \right)$$

Symbol English Metric
$$W_w$$ = weight of water $$lbf$$ $$N$$
$$S$$ = degree of saturation (expressed as %) $$dimensionless$$
$$e$$ = void ratio $$dimensionless$$
$$V_t$$ = total volume of soil $$ft^3$$ $$m^3$$
$$\gamma_w$$  (Greek symbol gamma) = unit weight of water $$lbf \;/\; in^2$$ $$N \;/\; m^3$$

Tags: Water Soil