Stability Analysis of Shallow Buried Tunnel Under Nonlinear Failure Criterion

doi:10.12141/j.issn.1000-565X.230370

Abstract

Abstract:

The pressure value of tunnel surrounding rock is an essential parameter for shallow buried tunnel design and calculation. In order to further improve the credibility of the surrounding rock pressure calculation results, the paper proposed a circular slip surface failure model based on the traditional shallow buried tunnel collapse model. Based on the nonlinear Mohr-Coulomb failure criterion, the limit analysis upper bound method was applied to derive the formulae for calculating the pressure in shallow buried tunnel surrounding rocks under the action of seismic forces. The credibility of the calculation results was verified and the influencing factors were discussed. The high credibility and accuracy of the theoretical formula was proved through comparing the results with field engineering and existing results. It also finds that the pressure of the surrounding rock is more significantly influenced by the nonlinear coefficient and the initial cohesion; the larger the nonlinear coefficient and the smaller the initial cohesion, the greater the surrounding rock pressure. As the parameter to be defined K (ratio of horizontal surrounding rock pressure to vertical surrounding rock pressure ) decreases, the horizontal rock pressure decreases and the vertical rock pressure increases. The influence of seismic forces on the pressure of the surrounding rock cannot be ignored. The surrounding rock pressure is most affected by the vertical seismic force alone, followed by the horizontal and vertical seismic force working together, and least affected by the horizontal seismic force alone. As the horizontal and vertical seismic force coefficients increase, the surrounding rock pressure also increases. The results of the study are of high reference value for the study of most tunnels, especially shallow buried tunnels that are susceptible to seismic effects.

Key words: shallow buried tunnel, surrounding rock pressure, nonlinear failure criterion, upper bound theory, protostatic method, circular slip surface

CLC Number:

U451⁺.2

FU Helin, CHANG Xiaobing, HU Kaixun. Stability Analysis of Shallow Buried Tunnel Under Nonlinear Failure Criterion[J]. Journal of South China University of Technology(Natural Science Edition), 2024, 52(7): 107-118.

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工况	b/m	h/m	H/m	γ/ （kN·m^-3）	c₀/kPa	σ_t/kPa	m	K
工况1	6.9	9.7	18.8	17.8	25.7	12.5	1.1	0.5
工况2	6.9	9.7	24.6	19.5	31.4	19.9	1.2	0.4
工况3	6.5	9.5	25.8	21.8	5.4	30.2	1.2	1.7

工况	q/kPa		误差^1）/%	e/kPa		误差^2）/%
工况	现场量测均值	本文计算结果	误差^1）/%	现场量测均值	本文计算结果	误差^2）/%
工况1	195.30	198.34	+1.56	96.49	99.17	+2.78
工况2	216.03	218.30	+1.05	85.30	87.32	+2.37
工况3	194.90	199.70	+2.46	329.10	339.49	+3.16

K	q/kPa				q/kPa
	本文极限分析法	文献［12］		太沙基极限平衡法
	本文极限分析法	破坏模式A	破坏模式B	太沙基极限平衡法
0.6	298.2	243.2	243.0	1.0	297.9
0.8	237.9	199.1	201.1	1.2	283.9
1.0	197.9	169.3	175.7	1.4	270.9
1.2	169.4	147.7	158.5	1.6	258.7