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Calcimator

Compaction Test Calculator

Calculate wet density, dry density, void ratio, and degree of saturation from Proctor compaction test data.

About this calculator

This calculator reduces raw Proctor compaction test measurements — the wet weight of soil packed into a standard mold, at a known moisture content per ASTM D698 (Standard Proctor) or ASTM D1557 (Modified Proctor), with moisture content itself measured per ASTM D2216 — into the density and void metrics geotechnical engineers use to judge compaction quality. Wet density is simply the specimen's weight divided by the mold volume (the standard Proctor mold is 1/30 ft³); dividing that by (1 + w), where w is moisture content as a decimal, strips out the water's weight to get dry density, γd = γwet/(1+w) — the number actually compared against a project's maximum dry density specification (commonly 95% of Proctor maximum in the field). From dry density and the soil's specific gravity Gs, the calculator backs out the void ratio, e = (Gs·γw/γd) − 1, where γw is water's unit weight (62.4 pcf) — a lower void ratio means the soil grains are packed more tightly with less air/water space between them.

Degree of saturation, S = (w·Gs)/e × 100, then expresses what fraction of those voids are actually filled with water rather than air, capped at 100%. The zero-air-void density is a theoretical ceiling: the maximum dry density physically possible at that moisture content if every void were saturated, useful as a reference curve alongside your compaction curve to flag results that would imply an impossible (negative-air-void) condition. This tool only computes point values from one test — it doesn't determine the true Proctor maximum dry density or optimum moisture content, which require running the full multi-point compaction curve.

Inputs

lbs

ASTM D698: standard Proctor; ASTM D1557: modified Proctor (4.5× energy); field spec typically 95% max dry density

ft³
%

ASTM D2216: sandy soil optimum ~10–14%; clay optimum ~15–25%; measure w=(Wwet–Wdry)/Wdry×100

Results

Dry Density

107.3 pcf

Zero Air Void Density

126.5 pcf

Wet Density120.1 pcf
Degree of Saturation57.5%
Void Ratio (e)0.56

Figures current as of 2021. Sources: ASTM D698-12(2021), Standard Test Methods for Laboratory Compaction Characteristics of Soil Using Standard Effort; ASTM D1557-12(2021), ...Using Modified Effort, ASTM D2216-19, Standard Test Methods for Laboratory Determination of Water (Moisture) Content of Soil and Rock by Mass

How to Use This Calculator
  1. Enter wet soil weight (lbs) and mold volume (ft³) from your Proctor test sample.
  2. Set measured moisture content (%) and soil specific gravity (Gs).
  3. Review Wet Density, Dry Density (pcf), Degree of Saturation (%), and Void Ratio.
  4. Compare dry density to the Proctor maximum to calculate compaction percentage.

How the result changes with Mold Volume

Mold VolumeDry DensityZero Air Void Density
0.02213.9 pcf126.5 pcf
0.03142.9 pcf126.5 pcf
0.0571.4 pcf126.5 pcf
0.0842.9 pcf126.5 pcf

What each input means

Wet Soil Weight
Weight of wet compacted soil specimen per ASTM D698 (Standard Proctor) or ASTM D1557 (Modified Proctor). Standard Proctor: 3-layer, 25 blows/layer; Modified: 5-layer, 25 blows at higher energy for heavy compaction.
Mold Volume
Volume of the compaction mold. Standard Proctor mold is 1/30 ft³ (0.0333 ft³ or 944 cm³).
Moisture Content
Water content of the soil by weight percentage per ASTM D2216, determined by oven-drying at 110°C. Sandy soils: optimal typically 8–14%; clayey soils: 15–25% at Proctor optimum.
Specific Gravity (Gs)
Specific gravity of soil solids. Sand ≈ 2.65; clay ≈ 2.70; organic soil ≈ 2.40-2.55.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Wet Soil Weight = 4, Mold Volume = 0.0333, Moisture Content = 12, Specific Gravity (Gs) = 2.68 = 4 input(s) provided
  2. Calculate Dry Density
    Dry Density
    107.3 = 107.3
  3. Calculate Zero Air Void Density
    Zero Air Void Density
    126.5 = 126.5
  4. Calculate Wet Density
    Wet Density
    120.1 = 120.1
  5. Calculate Degree of Saturation
    Degree of Saturation
    57.5 = 57.5

Figures and sources

Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does the calculator divide by (1 + moisture content) to get dry density?

The wet weight includes both soil solids and the water in the sample, but compaction specs are based on dry density — soil grains only. Dividing wet density by (1 + w), where w is moisture content as a decimal, mathematically removes the water's weight contribution, leaving just the density of the soil solids. That moisture content is itself measured per ASTM D2216, the standard oven-drying method for determining water content of soil by mass, before it ever reaches this formula.

What does the void ratio tell me about compaction quality?

Void ratio e = (Gs·γw/γd) − 1 represents the ratio of empty space, air plus water, to solid particle volume in the sample. A lower void ratio means the soil grains are packed more tightly with less space between them, which generally corresponds to better compaction and lower settlement potential.

Why is the zero-air-void density useful if it's never actually achievable?

It's the theoretical maximum dry density possible at a given moisture content if every void were filled with water and none with air — a physical ceiling. Plotting your compaction results against this curve flags any data point that would imply an impossible negative-air-void condition, which usually signals a measurement or specific-gravity input error.

Can this calculator tell me if my fill meets a 95% compaction spec?

Not by itself — it only converts a single test's wet weight and moisture content into dry density, void ratio, and degree of saturation. To check against a 95% compaction requirement, you need to compare this dry density to the maximum dry density from a full multi-point Proctor curve, which this tool doesn't run.

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