Soil Phase Relations (Void Ratio, Porosity, Saturation)
The three-phase makeup behind every settlement and bearing calc, made explicit.
Example
You enter
- Total (moist) unit weight (pcf) 120
- Water content (%) 15
- Specific gravity of solids Gs 2.7
You get
- Dry unit weight 104.3 pcf
- E ratio 0.615
- N porosity 0.381
- Degree of saturation 65.9%
Details, formula, and sources
From the total unit weight, water content, and specific gravity Gs, the dry unit weight gamma_d = gamma/(1 + w), void ratio e = Gs gamma_w/gamma_d - 1, porosity n = e/(1 + e), and saturation S = w Gs/e. A 120 pcf soil at 15% and Gs 2.70 gives gamma_d 104.3 pcf, e 0.62, n 0.38, S 66% - the void ratio a consolidation needs, the saturation that says how much air is left to squeeze out. gamma_w = 62.4 pcf; enter Gs. An engineering aid; the soil test data govern.
gamma_d = gamma/(1 + w/100); e = Gs gamma_w/gamma_d - 1; n = e/(1 + e); S = w Gs/e. (gamma_w = 62.4 pcf)
The soil three-phase relations - dry unit weight, void ratio, porosity, and degree of saturation - as compiled in the Das and NAVFAC geotechnical references, by name.
The soil phase relations are public geotechnical results; NAVFAC DM-7 is public-domain and free online.
Estimate. AHJ and licensed professional govern.
Field names used by the API: gamma_pcf, w_pct, gs, gamma_d_pcf, e_ratio, n_porosity, s_pct
- Dry unit weight gamma_d = gamma/(1 + w), the solids weight per total volumesoil mechanics
- Void ratio and porosity e = Gs gamma_w/gamma_d - 1, n = e/(1 + e)soil mechanics
- Saturation S = w Gs/e; gamma_w = 62.4 pcf fresh water, Gs ~ 2.65-2.72soil mechanics