成果归属作者：

李星 ; 夏开文

成果归属机构：

工程技术学院

作者：

Xiao, Junjie ; Liu, Jiacun ; Xu, Ying ; Li, Xing ; Liu, Ang ; Xia, Kaiwen

单位：

Tianjin Univ, State Key Lab Hydraul Engn Intelligent Construct &, Tianjin 300072, Peoples R China;China Univ Geosci Beijing, Sch Engn & Technol, Beijing 100083, Peoples R China;Penn State Univ, Ctr G3, Dept Energy & Mineral Engn, University Pk, PA 16802 USA;Penn State Univ, Energy Inst, University Pk, PA 16802 USA

关键词：

TRUE-TRIAXIAL STRENGTH; INTERMEDIATE PRINCIPAL STRESS; FAILURE CRITERION; DEFORMABILITY; COULOMB

摘要：

The Hoek-Brown (H-B) criterion has found widespread application in numerous rock engineering projects. However, its efficacy is compromised by an underestimation of rock strength due to its neglect of the influence of the intermediate principal stress (sigma 2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sigma_{2}$$\end{document}). Experimental evidence underscores the significant impact of sigma 2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sigma_{2}$$\end{document}. Consequently, there exists an imperative to formulate a three-dimensional (3D) criterion. In this study, a new deviatoric function with two additional parameters (k\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k$$\end{document} and A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A$$\end{document}) is developed firstly, which ensure compliance with the prerequisites of smoothness and convexity. In addition, the parameters k\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k$$\end{document} and A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A$$\end{document} are bonded with the weakening effect of the Lode angle (theta sigma\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\theta_{\sigma }$$\end{document}) and the strengthening effect of the mean stress (sigma m\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sigma_{m}$$\end{document}), respectively. Then a new 3D strength criterion for rocks is proposed by combining this new deviatoric function and the triaxial compression meridian function of the original H-B criterion. Four distinct sets of test data encompassing various rock types are employed to validate the proposed criterion. The results demonstrate that the proposed criterion adeptly captures the strength characteristics of the four rock types, providing a good depiction of failure surfaces within the 3D principal stress space. Comparative analyses involve the utilization of several existing 3D H-B criteria for strength predictions. The proposed criterion exhibits superior fitting performance for all the selected rocks. A novel deviatoric function with two parameters is developed, which satisfy the requirements of smoothness and convexity throughout the entire deviatoric plane.A new three-dimensional (3D) strength criterion is proposed based on the new deviatoric function and the Hoek-Brown (H-B) criterion, which incorporates the effect of the intermediate (sigma 2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sigma_{2}$$\end{document}) principal stress and accurately captures the strength characteristics of various rock types.The correlations between the two additional parameters and the strengthening and weakening effects of the intermediate (sigma 2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sigma_{2}$$\end{document}) principal stress are established.

基金：

National Natural Science Foundation of China [42141010]; CNPC Innovation Found [2022DQ02-0610]

语种：

英文

DOI：

10.1007/s40948-024-00841-2

来源：

GEOMECHANICS AND GEOPHYSICS FOR GEO-ENERGY AND GEO-RESOURCES,2024(1):.

出版日期：

2024-12

提交日期：

2024-08-21

引用参考：

Xiao, Junjie; Liu, Jiacun; Xu, Ying; Li, Xing; Liu, Ang; Xia, Kaiwen. An improved three-dimensional extension of Hoek-Brown criterion for rocks[J]. GEOMECHANICS AND GEOPHYSICS FOR GEO-ENERGY AND GEO-RESOURCES,2024(1):.