Roof stability analysis of deeply-buried cavities based on nonlinear Baker criterion

QIN Changbing; LI Yueyang; DAI Chenyu; SHI Yusha; ZHANG Wengang

doi:10.11779/CJGE20230662

Volume 47 Issue 2

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Chinese Journal of Geotechnical Engineering > 2025 > 47(2): 296-304. > DOI: 10.11779/CJGE20230662

QIN Changbing, LI Yueyang, DAI Chenyu, SHI Yusha, ZHANG Wengang. Roof stability analysis of deeply-buried cavities based on nonlinear Baker criterion[J]. Chinese Journal of Geotechnical Engineering, 2025, 47(2): 296-304. DOI: 10.11779/CJGE20230662

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Roof stability analysis of deeply-buried cavities based on nonlinear Baker criterion

1.
School of Civil Engineering, Chongqing University, Chongqing 400045, China
2.
School of Civil Engineering, Southeast University, Nanjing 211189, China

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Received Date: July 05, 2023
Available Online: July 15, 2024

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Abstract

Abstract

The dynamic roof stability analysis of deeply-buried cavities is investigated by using the upper bound limit analysis method adopting a more general nonlinear Baker criterion, in contrast to the Hoek-Brown and Mohr-Coulomb criteria which are mainly applicable to rock and soil, respectively. A curved failure mechanism for roof collapse is proposed in the realm of the Baker criterion. The vertical seismic loading is considered herein. The balance equation for work rate is then established after computing the external and internal rates of work. Based on the variational principle, the upper-bound formulation for roof collapse mechanism is derived with/without considerations of the vertical earthquake effects. Accordingly, the closed-form solutions for the failure surface, collapse height and width are explicitly obtained. At the same time, the ABAQUS modelling is used to verify the robustness and validity of closed-form solutions. The parametric studies are carried out to investigate the change laws of the roof collapse mechanism under different parameters. The results indicate that apart from rock/soil properties, the upward seismic force has a significant effect on the failure region above the cavity roof.
- deeply-buried cavity,
- roof stability,
- nonlinear Baker criterion,
- vertical seismic force,
- upper bound analysis

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References

[1]	CHEN W F. Limit Analysis and Soil Plasticity[M]. Amsterdam; New York: Elsevier Scientific Pub. Co, 1975.
[2]	MICHALOWSKI R L. Slope stability analysis: a kinematical approach[J]. Géotechnique, 1995, 45(2): 283-293. doi: 10.1680/geot.1995.45.2.283
[3]	赵炼恒, 李亮, 杨峰, 等. 加筋土坡动态稳定性拟静力分析[J]. 岩石力学与工程学报, 2009, 28(9): 1904-1917. doi: 10.3321/j.issn:1000-6915.2009.09.023 ZHAO Lianheng, LI Liang, YANG Feng, et al. Dynamic stability pseudo-static analysis of reinforcement soil slopes[J]. Chinese Journal of Rock Mechanics and Engineering, 2009, 28(9): 1904-1917. (in Chinese) doi: 10.3321/j.issn:1000-6915.2009.09.023
[4]	SLOAN S W. Geotechnical stability analysis[J]. Géotechnique, 2013, 63(7): 531-571. doi: 10.1680/geot.12.RL.001
[5]	孙志彬, 潘秋景, 杨小礼, 等. 非均质边坡上限分析的离散机构及应用[J]. 岩石力学与工程学报, 2017, 36(7): 1680-1688. SUN Zhibin, PAN Qiujing, YANG Xiaoli, et al. Discrete mechanism for upper bound analysis of nonhomogeneous slopes[J]. Chinese Journal of Rock Mechanics and Engineering, 2017, 36(7): 1680-1688. (in Chinese)
[6]	QIN C B, CHIAN S C. Kinematic analysis of seismic slope stability with a discretisation technique and pseudo-dynamic approach: a new perspective[J]. Géotechnique, 2018, 68(6): 492-503. doi: 10.1680/jgeot.16.P.200
[7]	FRALDI M, GUARRACINO F. Limit analysis of collapse mechanisms in cavities and tunnels according to the Hoek–Brown failure criterion[J]. International Journal of Rock Mechanics and Mining Sciences, 2009, 46(4): 665-673. doi: 10.1016/j.ijrmms.2008.09.014
[8]	FRALDI M, GUARRACINO F. Analytical solutions for collapse mechanisms in tunnels with arbitrary cross sections[J]. International Journal of Solids and Structures, 2010, 47(2): 216-223. doi: 10.1016/j.ijsolstr.2009.09.028
[9]	FRALDI M, GUARRACINO F. Evaluation of impending collapse in circular tunnels by analytical and numerical approaches[J]. Tunnelling and Underground Space Technology, 2011, 26(4): 507-516. doi: 10.1016/j.tust.2011.03.003
[10]	YANG X L, QIN C B. Limit analysis of rectangular cavity subjected to seepage forces based on Hoek-Brown failure criterion[J]. Geomechanics and Engineering, 2014, 6(5): 503-515. doi: 10.12989/gae.2014.6.5.503
[11]	YANG X L, HUANG F. Three-dimensional failure mechanism of a rectangular cavity in a Hoek-Brown rock medium[J]. International Journal of Rock Mechanics and Mining Sciences, 2013, 61: 189-195. doi: 10.1016/j.ijrmms.2013.02.014
[12]	QIN C B, LI Y Y, YU J, et al. Closed-form solutions for collapse mechanisms of tunnel crown in saturated non-uniform rock surrounds[J]. Tunnelling and Underground Space Technology, 2022, 126: 104529. doi: 10.1016/j.tust.2022.104529
[13]	BAKER R. Nonlinear Mohr envelopes based on triaxial data[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2004, 130(5): 498-506. doi: 10.1061/(ASCE)1090-0241(2004)130:5(498)
[14]	ZHANG D B, MA Z Y, YU B, et al. Upper bound solution of surrounding rock pressure of shallow tunnel under nonlinear failure criterion[J]. Journal of Central South University, 2019, 26(7): 1696-1705. doi: 10.1007/s11771-019-4126-3
[15]	刘智振. 非线性Baker破坏准则下地下硐室围岩压力上限解研究[D]. 湘潭: 湖南科技大学, 2017. LIU Zhizhen. Study on Upper Bound Solution of Surrounding Rock Pressure in Underground Cavity under Nonlinear Baker Failure Criterion[D]. Xiangtan: Hunan University of Science and Technology, 2017. (in Chinese)
[16]	HOEK E, BROWN E T. Empirical strength criterion for rock masses[J]. Journal of the Geotechnical Engineering Division, 1980, 106(9): 1013-1035. doi: 10.1061/AJGEB6.0001029
[17]	HOEK E, CARRANZA-TORRES C, CORKUM B. Hoek-Brown failure criterion: 2002 edition[C]// Proceedings of the North American Rock Mechanics Symposium. Toronto, 2002.
[18]	XU J S, YANG X L. Seismic stability analysis and charts of a 3D rock slope in Hoek-Brown media[J]. International Journal of Rock Mechanics and Mining Sciences, 2018, 112: 64-76. doi: 10.1016/j.ijrmms.2018.10.005
[19]	黄阜, 杨小礼, 赵炼恒, 等. 基于Hoek-Brown破坏准则的浅埋条形锚板抗拔力上限分析[J]. 岩土力学, 2012, 33(1): 179-184, 190. doi: 10.3969/j.issn.1000-7598.2012.01.028 HUANG Fu, YANG Xiaoli, ZHAO Lianheng, et al. Upper bound solution of ultimate pullout capacity of strip plate anchor based on Hoek-Brown failure criterion[J]. Rock and Soil Mechanics, 2012, 33(1): 179-184, 190. (in Chinese) doi: 10.3969/j.issn.1000-7598.2012.01.028
[20]	JIANG J C, BAKER R, YAMAGAMI T. The effect of strength envelope nonlinearity on slope stability computations[J]. Canadian Geotechnical Journal, 2003, 40(2): 308-325. doi: 10.1139/t02-111
[21]	LIU Z Z, CAO P, LIN H, et al. Three-dimensional upper bound limit analysis of underground cavities using nonlinear Baker failure criterion[J]. Transactions of Nonferrous Metals Society of China, 2020, 30(7): 1916-1927. doi: 10.1016/S1003-6326(20)65350-X
[22]	FRALDI M, CAVUOTO R, CUTOLO A, et al. Stability of tunnels according to depth and variability of rock mass parameters[J]. International Journal of Rock Mechanics and Mining Sciences, 2019, 119: 222-229. doi: 10.1016/j.ijrmms.2019.05.001

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