ASTM D4253 and D4254: maximum and minimum index density

Updated: 2026-08-04 · ISKRIT

A relative density result is only as good as the two index densities behind it. ASTM D4253 fixes the dense limit on a vibratory table, ASTM D4254 fixes the loose limit by free pouring, and every Dr figure in the report is an interpolation between those two numbers.

What each test measures

Neither test describes the soil in the ground. They bracket it. The field or undisturbed density ρd is then located between the brackets, and that position is what engineers actually specify against.

Working the numbers

Take ρd min = 1.42 g/cm³, ρd max = 1.78 g/cm³ and an in-place ρd of 1.63 g/cm³. The density index follows directly from the densities:

Id = (1.63 − 1.42) / (1.78 − 1.42) = 0.583

Relative density is defined on void ratios, not densities, so it comes out higher:

Dr = Id · ρd max / ρd = 0.583 · 1.78 / 1.63 = 0.637

With a particle density of 2.66 g/cm³ the void ratios are e = 0.632, e max = 0.873 and e min = 0.494, and the void-ratio form returns the same 0.637. The two definitions differ by 5.4 percentage points on this sample. Reporting Id under the name Dr makes the sand look looser than it is.

Density of packing

The same five-step ladder is used in EN ISO 14688-2, which is convenient when a project mixes American test methods with European classification.

Withdrawn, still specified

ASTM withdrew D4253 and D4254 in 2025 without a direct replacement. Laboratories kept running the procedures and clients kept writing the old designations into specifications, so a report that says “relative density to ASTM D4254” is still what most people expect to receive. If your quality plan cites a withdrawn standard, say so in the report rather than silently swapping in another method: the two limits are method-dependent and are not interchangeable between procedures.

Questions

Can Dr exceed 100 %? Arithmetically yes, and it usually means the field density was measured against a maximum index density obtained on a different gradation or with a different surcharge.

Do I need particle density? Not for Dr itself, only to report void ratios alongside it.

Is relative density meaningful for silty sand? The index tests lose repeatability once fines pass roughly 15 %, and a compaction test is the better control.

Both limits, Dr, Id and the void ratios are calculated in the relative density and packing state tool.