Critical review of the Mogi failure criterion based on true-triaxial laboratory data analysis and theoretical considerations

Trzeciak, Maciej; Sone, Hiroki

doi:10.1016/j.ijrmms.2022.105220

Critical review of the Mogi failure criterion based on true-triaxial laboratory data analysis and theoretical considerations

Journal Article · Mon Sep 19 00:00:00 EDT 2022 · International Journal of Rock Mechanics and Mining Sciences

DOI:https://doi.org/10.1016/j.ijrmms.2022.105220· OSTI ID:2418176

^[1]; Sone, Hiroki ^[2]

Univ. of Wisconsin, Madison, WI (United States); OSTI
Univ. of Wisconsin, Madison, WI (United States)

The influence of the intermediate principal stress, σ₂, is disregarded when rock strength is analyzed using the Mohr-Coulomb or Hoek-Brown criteria. Several polyaxial strength criteria have been proposed to account for the influence of σ₂. One of the methods that received considerable attention is the Mogi criterion. The criterion modifies the Nadai or Drucker-Prager approaches by exchanging the normal octahedral stress with what is introduced as the mean effective stress, σ_m,2. This change is based on experimental evidence that the influence of the intermediate principal stress on strength is less pronounced than the influence of the minimum principal stress. However, the Mogi criterion was derived somewhat empirically and consequently it is essential to analyze its potential theoretical deficiencies. In the current note, we analyzed the Mogi failure criterion, describing its characteristics in both τ_oct–σ_m,2 and σ₁-σ₂ spaces. We investigated the relation between Mohr-Coulomb and Mogi criteria, which marks the basis for the commonly used Mogi-Coulomb approach. Here, we compared the performance of the Mogi criterion against available polyaxial strength data using three fitting approaches: Mogi-Coulomb based on triaxial compression results only, linear Mogi based on all polyaxial strength results, and power law Mogi also based on all data. The analysis reveals several serious deficiencies of the Mogi approach which all suggest that the Mogi criterion cannot properly represent the σ₂ dependence of rock strength in many cases.

View Accepted Manuscript (DOE)

Research Organization:: RESPEC Company, LLC, Rapid City, SD (United States)

Sponsoring Organization:: USDOE; USDOE Office of Fossil Energy (FE)

Grant/Contract Number:: FE0031688

OSTI ID:: 2418176

Alternate ID(s):: OSTI ID: 1889295

Journal Information:: International Journal of Rock Mechanics and Mining Sciences, Journal Name: International Journal of Rock Mechanics and Mining Sciences Journal Issue: C Vol. 159; ISSN 1365-1609

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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58 GEOSCIENCES
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