Geoproje

HOEK-BROWN

Hoek-Brown rock-strength envelope and parameters

The Hoek-Brown tool derives a failure envelope and equivalent Mohr-Coulomb c′/φ′ values for a selected range from rock-mass inputs.

What it calculates

The tool calculates Hoek-Brown parameters and stress envelopes from intact-rock strength and rock-mass classification inputs.

  • Rock-mass constants mb, s and a
  • σcm, σt and σ3 limits
  • σ1-σ3 and τ-σn failure envelopes with Mohr circles
  • Equivalent c′ and φ′ for a selected σ3 range

Inputs

Enter intact-rock strength, rock-mass quality, disturbance and parameters required by the selected modulus method.

  • σci, GSI, mi and disturbance factor D
  • MR, Erm, RMR or Q depending on the selected method
  • γ and H for some tunnel/slope stress-limit methods
  • Rock test measurements or laboratory data, if available

Outputs and reports

Results show rock-mass constants, strength limits and the equivalent strength pair for the selected range.

  • mb, s, a, Ei/Erm and σcm/σt
  • σ3max, σ3n, c′ and φ′
  • Stress envelopes and Mohr circles
  • Optional rock-foundation screening and model fitting to test data

Validation

The Hoek-Brown validation document scopes numerical consistency against canonical equations and independent code implementations.

  • Sixty-three JavaScript comparisons across seven rock cases and nine quantities PASS, with a reported maximum relative error of 0.0.
  • The independent Python implementation reports a maximum relative error of 4.67e-16.
  • These checks are not a cross-validation against third-party design software or an approval of design safety.

Who it is for

The tool is intended for rock mechanics and geotechnical engineers assessing rock-mass strength.

  • Engineers using GSI and intact-rock strength data
  • Teams reporting a selected σ3 range and equivalent strength parameters

Frequently asked questions

What do GSI, mi and D change?

These inputs determine the rock-mass constants mb, s and a.

Why do equivalent c′ and φ′ vary by method?

The Mohr-Coulomb equivalent is fitted over the selected σ3 range; general, tunnel and slope methods can use different ranges.

Can the Bieniawski rock-mass modulus method be used for any RMR?

The guide says the method requires RMR > 50 and recommends Serafim-Pereira for lower RMR.

Has the result been checked against third-party software?

The source validation document says cross-validation with third-party rock mechanics software is not documented.

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