Robertson 1990 — Soil Behaviour Type classification
Derivation, normalised parameters, and zone definitions for the Robertson 1990 SBT chart as implemented in Atlaned.
This document describes the implementation of the Robertson (1990) Soil Behaviour Type classification chart in Atlaned, including the normalised parameter definitions, the zone polygons, and the assumptions used when ancillary inputs (unit weight, water table) are not supplied.
Scope
The classification covers the nine SBT zones defined by Robertson (1990) using normalised cone resistance Qₜ and friction ratio Fᵣ. Pore-pressure-based variants are documented separately.
Normalised parameters
Atlaned computes the normalised cone resistance and friction ratio as:
- Qₜ = (qₜ − σᵥ₀) / σ′ᵥ₀
- Fᵣ = fₛ / (qₜ − σᵥ₀) × 100%
where:
qₜis the corrected cone resistance, computed fromqc,u2, and the cone area ratioaσᵥ₀is the total vertical stress at the cone tipσ′ᵥ₀is the effective vertical stress at the cone tipfₛis the sleeve friction
When unit weight is not measured directly, Atlaned falls back to Robertson & Cabal (2010):
γ / γw = 0.27 · log(Rf) + 0.36 · log(qt / pa) + 1.236
Zone boundaries
The nine zones are bounded by the polygonal regions specified in Robertson (1990) Figure 4. Atlaned stores the polygon vertices as immutable constants in src/cpt/sbt/robertson1990.ts and performs point-in-polygon testing on each depth sample.
Edge cases
- Negative friction ratio. If
fₛ ≤ 0, the sample is flagged and assigned no zone. The flag is surfaced in the UI but does not block the analysis. - Above water table. σ′ᵥ₀ is computed from total stress without pore-pressure correction.
Validation
The implementation is validated against the 1,200-sounding reference dataset bundled at verification/datasets/robertson-1990/. Tolerance: zone match ≥ 99.5%, Qₜ within 0.5%, Fᵣ within 1.0%.
References
- Robertson, P.K. (1990). "Soil classification using the cone penetration test." Canadian Geotechnical Journal, 27(1), 151–158.
- Robertson, P.K. (2009). "Interpretation of cone penetration tests — a unified approach." Canadian Geotechnical Journal, 46(11), 1337–1355.
- ISO 22476-1:2012 — Geotechnical investigation and testing — Field testing.
Revision history
Last updated .
- Switched to closed-form Iₛ approximation for performance; numerical agreement within 0.3% verified against 1,200 reference soundings.
- Initial release of the v2 verification document.