Profilometry · Volume & area

Volume & Area Measurement

Volume and area measurement calculates how much material sits above or below a reference in a 3D surface map: the volume of a wear track, a corrosion pit, a weld bead or a deposit, and the true developed area of a rough surface. NANOVEA profilometers measure the map without contact, so volume comes directly from the surface rather than from mass loss or an estimate from a width.

Volume and area measurement of a surface feature by 3D profilometry

At a glance

Volumes
Volume of voids, hills and valleys; void and material volume above or below a set height.
Surface subtraction
Before-and-after maps subtracted to give the volume of material lost or added.
Areas
Developed (true) surface area and projected area; area above or below a set height, in % or µm².
Grains & motifs
Number and size of grains, their area and perimeter; height, area, volume and pitch of motifs.
Thickness
Mean thickness of void and material from a given height.
Wear testing
Wear-track volume for wear rate, measured on a standalone profilometer or on the T2000 tribometer's integrated profiler.

What volume and area measurement tells you

Wear, corrosion, erosion, machining, deposition and drying all move material. Volume measurement says how much; area measurement says how much surface there really is. Both come from the same 3D map, by integrating height above or below a reference.

Wear-track volume and wear rate

The most common use is wear testing. Standards such as ASTM G99 and G133 report wear as volume loss, and the specific wear rate K = V / (F × s) needs that volume. A 3D profile of the wear track gives it directly, along with the track depth and width and any material piled up at the edges. NANOVEA’s published tribology studies use profilometry for exactly this. In the polymer belt study, for example, the integrated profiler on the T2000 measured 75.7 mm³ and 14.0 mm³ on two belts.

Weighing struggles here. Hard coatings lose too little mass to weigh reliably, and polymers absorb moisture. Volume from profilometry avoids both problems.

Measuring wear on the tribometer

On the T2000, the profiler can be integrated on the tribometer itself. The sample is never removed, so the track is measured in exactly the same place each time and can be re-measured at intervals during a test. NANOVEA’s progressive wear mapping study used this to follow flooring wear across seven test cycles, connecting friction data to the wear rate at each stage.

Surface subtraction

When there is no clear original surface to reference, such as general corrosion, erosion of a shaped part or polishing, two maps of the same area can be aligned and subtracted. The difference map shows exactly where material was lost or gained, and its integral gives the volume.

Voids, material and developed area

Volume analysis also describes the surface itself:

  • void and material volume above or below a given height, and the mean thickness of each, used for lubricant retention, porosity and bearing capacity;
  • area above or below a height, in percent or µm²;
  • developed versus projected area, the true surface area relative to its footprint, which drives adhesion, coating uptake, wetting and catalysis.

Grains and motifs

Segmentation divides the surface into discrete features (grains, pores, bumps, dimples, motifs) and reports their number, size, area, perimeter, height, volume and pitch. NANOVEA’s surface boundary study combined topography with reflected intensity from the same scan to separate Styrofoam beads from their boundaries.

Standards

StandardScope
ISO 25178-2Areal surface texture: terms, definitions and surface texture parameters

Volume parameters (Vmp, Vmc, Vvc, Vvv), developed interfacial area ratio Sdr, and feature (segmentation) parameters.

ASTM G99 / G133Pin-on-disk and linearly reciprocating ball-on-flat wear

Both report wear as volume loss; profilometry measures that volume directly from the wear track.

Instrument parameter limits may differ from those specified within each standard.

Where volume measurement is used

Instruments that run this test

Every instrument is built to order. Send us your samples and we run your test in our laboratory first, then configure the instrument around the result.

Published results

Measured in our own laboratory, on the instruments we design and build, and published with full test parameters.

All profilometry application notes →

Independent published research

NANOVEA instruments appear in 444 published studies on surface topography and roughness, by researchers at universities and industrial laboratories worldwide.

All 444 studies →

NANOVEA materials testing laboratory

Need wear or volume data? Send us your samples.

Our laboratory measures wear-track volumes, corrosion damage and deposits on the same profilometers we build, and reports results with the full measurement settings.

Your samples are tested by the people who design the instruments, so you get advice on the method as well as the numbers.

Surface profiling lab services

Frequently asked questions

How is wear volume measured with a profilometer?

The wear track is scanned in 3D and the volume of material below the original surface level is integrated over the track. That volume, divided by load and sliding distance, gives the specific wear rate K = V / (F × s). Measuring the actual 3D track is more accurate than estimating volume from track width or from mass loss.

Why use profilometry instead of mass loss?

Low-wear materials such as hard coatings lose too little mass to weigh reliably, and polymers absorb moisture, which distorts weighing. Mass loss also cannot separate wear from transfer or show where material was removed. Profilometry gives the worn volume directly, with the track's shape, depth and any pile-up at its edges.

What is surface subtraction?

Two 3D maps of the same area, before and after wear, corrosion, polishing or deposition, are aligned and subtracted. The difference map shows exactly where the surface changed, and its integral gives the volume lost or gained.

What is developed surface area?

The true area of a rough surface following all its peaks and valleys, compared with the flat projected area. The ratio (Sdr in ISO 25178) matters wherever surface area drives behaviour: adhesion and bonding, coating uptake, catalysis, wetting and cell attachment.

Can wear be measured without removing the sample from the tribometer?

Yes. The T2000 tribometer can carry an integrated 3D non-contact profiler that measures the wear track in place. Because the sample is not repositioned, the track can be measured repeatedly during a test to follow wear over time, as in NANOVEA's progressive wear mapping study.