Compaction Curve Omc Calculator
Calculate optimum moisture content and maximum dry density from Proctor compaction test data with zero air voids line analysis.
Compaction Curve Omc Calculator
Calculator
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Formula: gamma_d = gamma_bulk / (1 + w); ZAV: gamma_d = Gs * gamma_w / (1 + w * Gs)
Worked example โ MDD: 1.78 g/cm3 | OMC: 14% | 95% target: 1.691 g/cm3 | S at peak: 76%
Formula
gamma_d = gamma_bulk / (1 + w); ZAV: gamma_d = Gs * gamma_w / (1 + w * Gs)
This Compaction Curve OMC Calculator computes results from your provided inputs using the calculator's underlying model.
Worked Examples
Example 1: Standard Proctor Test on a Silty Clay
Problem:Five Standard Proctor points at water contents of 10, 12, 14, 16 and 18 percent give dry densities of 1.62, 1.71, 1.78, 1.74 and 1.67 g/cm3. Find the maximum dry density and optimum moisture content, the 95 percent field compaction target, and the degree of saturation at the peak (Gs = 2.65).
Solution:The curve peaks at the third point: MDD = 1.78 g/cm3 at OMC = 14 percent Field target at 95 percent relative compaction = 0.95 x 1.78 = 1.691 g/cm3 Void ratio at the peak e = (Gs / rho_dry) - 1 = (2.65 / 1.78) - 1 = 1.489 - 1 = 0.489 Degree of saturation S = (w x Gs) / e = (0.14 x 2.65) / 0.489 = 0.371 / 0.489 = 0.759, i.e. 76 percent Zero-air-voids density at 14 percent = Gs / (1 + w x Gs) = 2.65 / (1 + 0.371) = 1.933 g/cm3, comfortably above the measured 1.78, so the curve sits below the ZAV line as it must.
Result:MDD: 1.78 g/cm3 | OMC: 14% | 95% target: 1.691 g/cm3 | S at peak: 76%
Example 2: Modified Proctor Test on a Sandy Gravel
Problem:Modified Proctor points at 4, 6, 8, 10 and 12 percent water content give dry densities of 2.02, 2.12, 2.18, 2.14 and 2.06 g/cm3. Find the peak, the 95 percent target, and explain why the OMC is so much lower than for the silty clay (Gs = 2.70).
Solution:MDD = 2.18 g/cm3 at OMC = 8 percent Field target at 95 percent = 0.95 x 2.18 = 2.071 g/cm3 Void ratio at the peak e = (2.70 / 2.18) - 1 = 1.239 - 1 = 0.239 Degree of saturation S = (0.08 x 2.70) / 0.239 = 0.216 / 0.239 = 0.904, i.e. 90 percent The gravel has less than half the void space of the clay (e = 0.24 against 0.49), so it needs far less water to lubricate the grains, and the higher compactive effort of the Modified test (2700 kN-m/m3 against 600 kN-m/m3) drives the peak both higher and drier.
Result:MDD: 2.18 g/cm3 | OMC: 8% | 95% target: 2.071 g/cm3 | S at peak: 90%
Frequently Asked Questions
What is the Optimum Moisture Content (OMC)?
The Optimum Moisture Content is the water content at which soil achieves its maximum dry density for a given compaction effort. At this moisture level, water lubricates soil particles allowing them to pack more tightly, while not so much water fills the voids and prevents densification. The OMC is determined from the peak of the compaction curve, which plots dry density against water content. Typical OMC values range from 8-15% for granular soils and 15-30% for fine-grained soils.
What is the Zero Air Voids (ZAV) line?
The Zero Air Voids line represents the theoretical maximum dry density at each water content when all air voids are eliminated and the soil is fully saturated. It is calculated as gamma_d = Gs * gamma_w / (1 + w * Gs), where Gs is specific gravity and gamma_w is unit weight of water. The actual compaction curve always falls below the ZAV line because it is physically impossible to remove all air from soil through compaction alone. The proximity of the compaction curve to the ZAV line indicates the degree of saturation achieved.
What is the difference between Standard and Modified Proctor tests?
The Standard Proctor test (ASTM D698) uses a 5.5 lb hammer dropped from 12 inches in 3 layers with 25 blows per layer, producing a compaction energy of about 600 kN-m/m3. The Modified Proctor test (ASTM D1557) uses a 10 lb hammer dropped from 18 inches in 5 layers with 25 blows per layer, producing about 2700 kN-m/m3 of energy. The Modified test yields higher maximum dry density and lower OMC, simulating heavier field compaction equipment.
Why is 95% compaction typically specified?
A 95% relative compaction requirement means the field dry density must be at least 95% of the maximum dry density from the laboratory Proctor test. This standard is widely used in construction specifications because it provides adequate density for structural support while being achievable with standard field compaction equipment. For critical structures like dams or heavy buildings, 98% or even 100% compaction may be required, while for less critical fills 90% may suffice.
Why does dry density fall once the water content passes optimum?
Below optimum, the added water thins the capillary menisci that hold grains apart and lubricates contacts, so each rammer blow rearranges particles into a tighter packing. Past optimum the voids are largely water-filled and the remaining air is trapped in isolated bubbles that cannot escape during the short duration of a blow. Because water is effectively incompressible, it carries part of the applied energy instead of transmitting it to the soil skeleton, so further water displaces solids from a fixed volume and dry density declines along a path roughly parallel to the zero air voids line.
What is the difference between compacting dry of optimum and wet of optimum?
The two produce different particle fabrics at the same dry density. Dry of optimum, clay particles remain flocculated in a random edge-to-face arrangement, giving higher initial stiffness and strength but greater permeability and a risk of collapse settlement if the fill is later wetted. Wet of optimum, the particles orient into a dispersed, more parallel fabric that is more ductile, less permeable and less prone to swelling. This is why dam cores and clay liners are usually placed slightly wet of optimum while pavement subgrades are targeted at or just dry of it.
How is field compaction checked against the laboratory maximum?
A field density is measured in place, by sand cone, drive cylinder or nuclear gauge, and its dry density is divided by the Proctor maximum dry density to give relative compaction as a percentage. The placement water content is checked at the same time and is commonly specified within a band of a couple of percentage points around optimum, because a fill can meet the density target while being too wet to remain stable under construction traffic. Failing either criterion normally means rerolling, or scarifying and aerating a fill that is too wet.
Why do clean sands and gravels not produce a clear compaction peak?
Cohesionless soils develop little capillary suction, so the lubrication mechanism that creates a peak in plastic soils is weak or absent. Their curves are often flat, or show a shallow dip at low water content from bulking before rising again toward the saturated end. For these materials density is better specified through relative density, comparing the field void ratio against maximum and minimum index void ratios measured by vibratory table and loose-fill procedures, rather than through a percentage of a poorly defined Proctor maximum.
How does oversize gravel in the sample affect the Proctor result?
The Proctor mould is small, so coarse particles are screened out before testing and the reported maximum dry density applies only to the finer fraction. If the fill actually contains a significant proportion of gravel, that fraction is denser than the matrix and raises the true in-place density, so comparing an uncorrected laboratory maximum against a field test on the whole material understates relative compaction. Standard oversize correction procedures adjust the maximum dry density and optimum moisture content using the mass fraction and bulk specific gravity of the retained coarse particles.
How can a field test report more than 100 percent relative compaction?
Relative compaction is a ratio against one specific laboratory energy, not a physical ceiling. Modern heavy vibratory rollers can deliver more energy per unit volume than a standard Proctor rammer, so exceeding 100 percent of the standard maximum is routine, and exceeding the modified maximum is possible in granular fill. It can also signal that the Proctor was run on a sample less gravelly than the material actually placed, so the reference density is too low. Values well above 100 percent are therefore a prompt to re-check which curve the fill is being judged against.
References
Background & Theory
History
Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer ยท Editorial policy
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