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
ASTM D698: standard Proctor; ASTM D1557: modified Proctor (4.5× energy); field spec typically 95% max dry density
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
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
- Enter wet soil weight (lbs) and mold volume (ft³) from your Proctor test sample.
- Set measured moisture content (%) and soil specific gravity (Gs).
- Review Wet Density, Dry Density (pcf), Degree of Saturation (%), and Void Ratio.
- Compare dry density to the Proctor maximum to calculate compaction percentage.
How the result changes with Mold Volume
| Mold Volume | Dry Density | Zero Air Void Density |
|---|---|---|
| 0.02 | 213.9 pcf | 126.5 pcf |
| 0.03 | 142.9 pcf | 126.5 pcf |
| 0.05 | 71.4 pcf | 126.5 pcf |
| 0.08 | 42.9 pcf | 126.5 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
- Identify Input Parameters4 parametersWet Soil Weight = 4, Mold Volume = 0.0333, Moisture Content = 12, Specific Gravity (Gs) = 2.68 = 4 input(s) provided
- Calculate Dry DensityDry Density107.3 = 107.3
- Calculate Zero Air Void DensityZero Air Void Density126.5 = 126.5
- Calculate Wet DensityWet Density120.1 = 120.1
- Calculate Degree of SaturationDegree of Saturation57.5 = 57.5
Figures and sources
- Standard and Modified Proctor compaction test methods (2021) — ASTM D698-12(2021), Standard Test Methods for Laboratory Compaction Characteristics of Soil Using Standard Effort; ASTM D1557-12(2021), ...Using Modified Effort
- Laboratory determination of soil moisture content (2019) — ASTM D2216-19, Standard Test Methods for Laboratory Determination of Water (Moisture) Content of Soil and Rock by Mass
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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