Soil Phase Relationships Calculator: Unit Weights, Void Ratio, Porosity, Water Content and Saturation

The soil mechanics basics: weights and volumes of soil.

Calculated from standard textbook formulas, with every step shown. The formulas are fixed, so the working does not need checking: what matters is the numbers you type in. Use these calculators only if you are competent to choose the inputs (loads, material strength, dimensions, supports) and check your units and assumptions. For learning and checking your own working: design and sign-off are for a qualified engineer. Drafting Central does not store the numbers you type.

How this calculator works

Enter Gs, the void ratio and the degree of saturation.

The calculator applies the phase relationships.

It gives the water content, the porosity and the unit weights.

Formulas used

  • w = \frac{Se}{G_s}
  • \gamma = \frac{(G_s + Se)\gamma_w}{1 + e}
  • \gamma_d = \frac{G_s\gamma_w}{1 + e}
  • n = \frac{e}{1 + e}

Worked example

With the default numbers in the calculator above:

  1. Water content: 15.849 %
  2. Porosity: 0.41176 (41.18 %)
  3. Bulk (moist) unit weight: 17.716 kN/m3
  4. Dry unit weight: 15.292 kN/m3
  5. Saturated unit weight: 19.331 kN/m3
  6. Submerged (buoyant) unit weight: 9.5215 kN/m3
  7. Density of the moist soil: 1805.9 kg/m3

Change the numbers in the calculator to see the full working, every step, for your own case.

Common questions

What is the void ratio?

The volume of the voids divided by the volume of the solid particles.

What is the difference between porosity and void ratio?

Porosity is the voids as a fraction of the total volume. The void ratio is the voids as a fraction of the solids volume.

What is the submerged unit weight?

The saturated unit weight minus the unit weight of water. It is the weight that counts in soil below the water table.

Related calculators

Got a question about this? Ask an engineering question and get a plain-language answer with references.

Further reading: Any soil mechanics or geotechnical engineering text (soil phase relationships).

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