In a compaction test, G, w, S and e represent the specific gravity, water content, degree of saturation and void ratio of the soil sample, respectively. If γw represents the unit weight of water and γd represents the dry unit weight of the soil, the equation for zero air voids line is

1
\(\;{\gamma _d} = \dfrac{{G \times {\gamma _w}}}{{1 + S \times e}}\)
2
\(\;{\gamma _d} = \dfrac{{G \times {\gamma _w}}}{{1 + G \times w}}\)
3
\(\;{\gamma _d} = \dfrac{{G \times {\gamma _w}}}{{1 + {\gamma _w} \times S}}\)
4
\(\;{\gamma _d} = \dfrac{{G \times w}}{{1 + e \times S}}\)

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