Let G be the specific gravity of soil solids, w the water content in the soil sample, γw the unit weight of water, and γd the dry unit weight of the soil. The equation for the zero air voids line in a compaction test plot is

1
\({{\rm{\gamma }}_{\rm{d}}} = \frac{{{\rm{G}}{{\rm{\gamma }}_{\rm{w}}}}}{{1 + {\rm{Gw}}}}\)
2
\({{\rm{\gamma }}_{\rm{d}}} = \frac{{{\rm{G}}{{\rm{\gamma }}_{\rm{w}}}}}{{{\rm{Gw}}}}\)
3
\({{\rm{\gamma }}_{\rm{d}}} = \frac{{{{\rm{G}}_{\rm{w}}}}}{{1 + {{\rm{\gamma }}_{\rm{w}}}}}\)
4
\({{\rm{\gamma }}_{\rm{d}}} = \frac{{{{\rm{G}}_{\rm{w}}}}}{{1 - {{\rm{\gamma }}_{\rm{w}}}}}\)

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